{"text_format":"1","workbook":"xlsx","n_sheets":63,"sheets":["Introduction","Import AutoCAD Coordinates","Draw Points To AutoCAD","ERROR X Y","1.grid_local-grid_WGS84","2.grid_local-geo_local","3.grid_local-geo_WGS84","4.grid_wgs84-grid_local","5.grid_WGS84-geo_WGS84","6.grid_WGS84-geo_local","7.geo_local-grid_local","8.geo_local-grid_WGS84","9.geo_local-geo-WGS84","10.geo_wgs84-grid_wgs84","11.geo_WGS84-grid_local","12.geo_WGS84-geo_local","local grid zone transformation","WGS84 grid zone transformation","Area by Coordinates","local CONVERGENCE_SF_HF_CF","Grid and Ground Dist.","Forward","Inverse","Parabolic Curve","Topo BS zero Azimuth","Transit Rule","Area by Plane Coordinates","Area by Azimuth and Distance","Line and Offset","multi-coordinate transformation","coordinates transformation","R.C. Jubail transformation","Right triangle solver","triangle solver","compass rule or bowditch method","compass rule","curve coordinates computation","super elevation","spiral offset","embankment","spiral eastment","Adjustment(profile)","Stationing(profile)","diff angle conversion","UTM projection map","Datum transformation parameters","Formulas","Cart_ITRF to Cart_Ain el Abd","Cart_Ain el Abd to Cart_ITRF","Geoc_ITRF to Geog_ITRF","Geog_ITRF to Geoc_ITRF","Geoc_AeA to Geog_AeA","Geog_A el A to Geoc_A el A","gridITRF to geoITRF","geoITRF to gridITRF","Intersection","bearing","3Pts resection","H-curve_bearing & station given","H-curve_delta,PC,Radius","H-curve_coordinates & station","H-curve_delta,direction,PC & PT","spiral offset staking"],"not_rendered":{"charts":0,"images":67,"macros":1,"external_links":0,"defined_names":19,"comments":1,"pivot_tables":0},"unopened":[],"bounds":{"document_bytes":16777216,"sheet_cells":100000,"rows_first":2000,"rows_last":500,"rows_between":2000,"halvings":0,"cell_chars":16384,"cell_head_chars":4096},"cells_cut":0,"cells_raw":0,"read":"whole","date_system":"1900"}

{"sheet":"Introduction","index":0,"n_rows":52,"n_cols":16,"rows_kept":52,"cut":false,"hidden":false,"merged":[[28,8,28,11],[27,15,27,18],[36,8,36,11],[27,1,27,4],[28,1,28,4],[27,8,27,11],[35,1,35,4],[31,1,31,4],[32,1,32,4],[33,1,33,4],[34,1,34,4],[35,8,35,11],[31,8,31,11],[36,15,36,17],[28,15,28,18],[29,8,29,11],[30,8,30,11],[5,1,5,2],[6,1,6,2],[9,1,9,2],[10,1,10,2],[25,1,25,19],[10,3,10,5],[13,1,13,2],[14,1,14,2],[13,3,13,4],[29,1,29,4],[36,1,36,4],[39,8,39,11],[38,8,38,11],[43,1,43,4],[37,1,37,4],[38,1,38,4],[39,1,39,4],[40,1,40,4],[30,1,30,4],[41,1,41,4],[42,1,42,4],[42,8,42,11],[45,8,45,11],[29,15,29,18],[30,15,30,18],[40,8,40,11],[41,8,41,11],[37,8,37,11],[37,15,37,17],[31,15,31,18],[32,15,32,18],[44,8,44,11],[32,8,32,11],[33,8,33,11],[34,8,34,11],[43,8,43,11],[38,15,38,17]]}
[]
[]
[null,"This conversion are done by the following formulas:",null,null,null,null,null,null,null,null,null,"Definition in worksheets:"]
[null,null,null,null,null,null,null,null,null,null,null,"1.grid_local - means UTM-Grid coordinates using Ain El Abd Datum (International 1924 Ellipsoid)"]
[null,"International 1924 Ellipsoid",null,null,null,null,null,null,null,null,null,"2.geo_local - means Geographic coordinates using Ain El Abd Datum (International 1924 Ellipsoid)"]
[null,"Semi-major axis=",null,"6378388.000m",null,null,null,null,null,null,null,"3.grid_WGS84 - means UTM-Grid coordinates using WGS-84 Datum (WGS-84 Ellipsoid)"]
[null,"1/flattening=",null,297,null,null,null,null,null,null,null,"4.geo_WGS84 - means Geographic coordinates using WGS-84 Datum (WGS84 Ellipsoid)"]
[]
[null,"WGS 84 Ellipsoid"]
[null,"Semi-major axis=",null,"6378137.000m"]
[null,"1/flattening=",null,298.25722356300003]
[]
[null,"Geodetic Datum Transformation Parameters (Local to WGS-84)"]
[null,"Datum",null,"Ellipsoid",null,"dX","dY","dZ"]
[null,"Ain el Abd 1970",null,"International 1924",null,-143,-236,7]
[]
[null,"1. The Geographic Coordinates conversion between Local and WGS-84 is using Molodensky method. "]
[null,"2. Geographic to UTM-Grid Coordinates (vice-versa) is using Redfean's method."]
[]
[]
[null,"The process of this calculations are using Visual Basic Program."]
[null,"To see the Visual Basic code of the functions - "]
[null,"Menu=Tools, Macro, Visual Basic Editor,"]
[null,"then view the code in \"Module 1\"."]
[]
[null,"Direct links to worksheet"]
[null,"Map Projection Category",null,null,null,null,null,null,"Plane Coordinate System Category",null,null,null,null,null,null,"Miscellaneous"]
[null,"1.grid_local-grid_WGS84",null,null,null,null,null,null,"Forward",null,null,null,null,null,null,"R.C. Jubail transformation"]
[null,"2.grid_local-geo_local",null,null,null,null,null,null,"Inverse",null,null,null,null,null,null,"diff angle conversion"]
[null,"3.grid_local-geo_WGS84",null,null,null,null,null,null,"Parabolic curve",null,null,null,null,null,null,"adjustment(profile)"]
[null,"4.grid_wgs84-grid_local",null,null,null,null,null,null,"Topo BS zero azimuth",null,null,null,null,null,null,"Stationing(profile)"]
[null,"5.grid_WGS84-geo_WGS84",null,null,null,null,null,null,"Transit rule",null,null,null,null,null,null,"UTM projection map"]
[null,"6.grid_WGS84-geo_local",null,null,null,null,null,null,"Area by coordinates",null,null,null,null,null,null,"Datum transformation parameters"]
[null,"7.geo_local-grid_local",null,null,null,null,null,null,"Area by azimuth and distance",null,null,null,null,null,null,"Formulas"]
[null,"8.geo_local-grid_WGS84",null,null,null,null,null,null,"Reference Line (or) Line and offset"]
[null,"9.geo_local-geo-WGS84",null,null,null,null,null,null,"Multi-coordinates transformation",null,null,null,null,null,null,"AutoCAD Progarms"]
[null,"10.geo_wgs84-grid_wgs84",null,null,null,null,null,null,"Coordinates transformation",null,null,null,null,null,"→","Plot Points To AutoCAD"]
[null,"11.geo_WGS84-grid_local",null,null,null,null,null,null,"Spiral eastment",null,null,null,null,null,"→","Import AutoCAD Coordinates to Excel"]
[null,"12.geo_WGS84-geo_local",null,null,null,null,null,null,"Triangle solver",null,null,null,null,null,"→","Draw ERROR X Y to AutoCAD (Ref.Line)"]
[null,"13.local grid zone transformation",null,null,null,null,null,null,"Right triangle solver"]
[null,"14.WGS84 grid zone transformation",null,null,null,null,null,null,"Compass rule"]
[null,"15.Area by Coordinates",null,null,null,null,null,null,"Compass rule or Bowditch method"]
[null,"16.Local Convergence_SF_HF_CF",null,null,null,null,null,null,"Curve coordinates computation"]
[null,"17.Grid and Ground Dist.",null,null,null,null,null,null,"Super elevation"]
[null,"18.Geocentric (ITRF) - Geocentric (Ain El Abd KSA)",null,null,null,null,null,null,"Spiral offset"]
[null,"19.Geocentric (Ain El Abd KSA) - Geocentric (ITRF)",null,null,null,null,null,null,"Embankment"]
[null,"20.Geocentric (ITRF) - Geographic (ITRF)"]
[null,"21.Geographic (ITRF) - Geocentric (ITRF)"]
[null,"22.Geocentric (Ain El Abd KSA) - Geographic (Ain El Abd KSA)"]
[null,"23.Geographic (Ain El Abd KSA) - Geocentric (Ain El Abd KSA)"]
[null,"24.Grid (ITRF) - Geographic (ITRF)"]
[null,"25.Geographic (ITRF) - Grid (ITRF)"]

{"sheet":"Import AutoCAD Coordinates","index":1,"n_rows":21,"n_cols":13,"rows_kept":21,"cut":false,"hidden":false,"merged":[[20,12,20,16]]}
["Back to Introduction"]
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[null,null,null,null,null,null,null,null,null,null,null,null,"←  Press This Button Then Select Object on Your CAD Drawing."]

{"sheet":"Draw Points To AutoCAD","index":2,"n_rows":69,"n_cols":6,"rows_kept":69,"cut":false,"hidden":false,"merged":[[0,1,0,5],[1,7,1,11]]}
["Back to Introduction","Draw Points To AutoCAD"]
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["Back to Introduction","Draw Error XY To AutoCAD (With Ref.Line)"]
[null,"DESIGN",null,null,null,null,"AS-BUILT",null,null,null,"Bearing Of Ref. Line"]
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["Back to Introduction"]
[]
[null,"Note: This worksheet can be expand as much as you want.",null,null,null,null,null,"User's Input"]
[null,"         Just highlight the last row and drag it downward."]
[null,"*Be sure to Fill-up the required zone."]
[null,"Zone =",39]
[null,"l0 =",{"$f":"-177+(6*(C6-1))-3","v":48},"to",{"$f":"-177+(6*(C6-1))+3","v":54},null,"Central Meridians of the zone =",null,null,{"$f":"-177+(6*(C6-1))","v":51}]
[]
[null,"UTM-Grid (Ain El Abd)",null,null,null,null,"UTM-Grid (WGS-84)"]
[null,"pt.no","northing (m)","easting (m)","elev. (m)",null,"pt.no","northing (m)","easting (m)","elev. (m)"]
[null,1,3305692.5660000001,620723.94400000002,120,null,{"$f":"IF(B11=\"\",\"\",B11)","v":1},{"$f":"IF(D11=\"\",\"\",LNorth_to_WNorth(C11,D11,E11,$J$7))","v":3305708.0204755296},{"$f":"IF(D11=\"\",\"\",LEast_to_WEast(C11,D11,E11,$J$7))","v":620686.67160675966},{"$f":"IF(E11=\"\",\"\",LH_to_WH(C11,D11,E11,$J$7))","v":114.15479958247786}]
[null,2,3305692.5660000001,500000,null,null,{"$f":"IF(B12=\"\",\"\",B12)","v":2},{"$f":"IF(D12=\"\",\"\",LNorth_to_WNorth(C12,D12,E12,$J$7))","v":3305708.010282075},{"$f":"IF(D12=\"\",\"\",LEast_to_WEast(C12,D12,E12,$J$7))","v":499962.62903043366},{"$f":"IF(E12=\"\",\"\",LH_to_WH(C12,D12,E12,$J$7))","v":""}]
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["Back to Introduction"]
[]
[null,"Note: This worksheet can be expand as much as you want.",null,null,null,null,null,"User's Input"]
[null,"         Just highlight the last row and drag it downward."]
[null,"*Be sure to Fill-up the required zone.",null,null,null,null,"Geographic Latitude & Longitude Format = (Degrees-Minutes-Seconds)"]
[null,"Zone =",38]
[null,"l0 =",{"$f":"-177+(6*(C6-1))-3","v":42},"to",{"$f":"-177+(6*(C6-1))+3","v":48},null,"Central Meridians of the zone =",null,null,{"$f":"-177+(6*(C6-1))","v":45}]
[]
[null,"UTM-Grid (Ain El Abd)",null,null,null,null,"Geographic (Ain El Abd)"]
[null,"pt.no","northing (m)","easting (m)","elev. (m)",null,"pt.no","latitude","longitude","Elev."]
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{"sheet":"3.grid_local-geo_WGS84","index":6,"n_rows":30,"n_cols":10,"rows_kept":30,"cut":false,"hidden":false,"merged":[[0,0,0,2],[8,1,8,4],[8,6,8,9],[2,7,3,7],[2,8,3,8],[6,6,6,8]]}
["Back to Introduction"]
[]
[null,"Note: This worksheet can be expand as much as you want.",null,null,null,null,null,"User's Input"]
[null,"         Just highlight the last row and drag it downward."]
[null,"*Be sure to Fill-up the required zone.",null,null,null,null,"Geographic Latitude & Longitude Format = (Degrees-Minutes-Seconds)"]
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["Back to Introduction"]
[]
[null,"Note: This worksheet can be expand as much as you want.",null,null,null,null,null,"User's Input"]
[null,"         Just highlight the last row and drag it downward."]
[null,"*Be sure to Fill-up the required zone."]
[null,"Zone =",39]
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{"sheet":"5.grid_WGS84-geo_WGS84","index":8,"n_rows":30,"n_cols":10,"rows_kept":30,"cut":false,"hidden":false,"merged":[[8,1,8,4],[8,6,8,9],[0,0,0,2],[2,7,3,7],[2,8,3,8],[6,6,6,8]]}
["Back to Introduction"]
[]
[null,"Note: This worksheet can be expand as much as you want.",null,null,null,null,null,"User's Input"]
[null,"         Just highlight the last row and drag it downward."]
[null,"*Be sure to Fill-up the required zone.",null,null,null,null,"Geographic Latitude & Longitude Format = (Degrees-Minutes-Seconds)"]
[null,"Zone =",37]
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["Back to Introduction"]
[]
[null,"Note: This worksheet can be expand as much as you want.",null,null,null,null,null,"User's Input"]
[null,"         Just highlight the last row and drag it downward."]
[null,"*Be sure to Fill-up the required zone.",null,null,null,null,"Geographic Latitude & Longitude Format = (Degrees-Minutes-Seconds)"]
[null,"Zone =",37]
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{"sheet":"7.geo_local-grid_local","index":10,"n_rows":30,"n_cols":10,"rows_kept":30,"cut":false,"hidden":false,"merged":[[8,1,8,4],[8,6,8,9],[0,0,0,2],[2,7,3,7],[2,8,3,8],[6,6,6,8]]}
["Back to Introduction"]
[]
[null,"Note: This worksheet can be expand as much as you want.",null,null,null,null,null,"User's Input"]
[null,"         Just highlight the last row and drag it downward."]
[null,"*Be sure to Fill-up the required zone."]
[null,"Zone =",37]
[null,"l0 =",{"$f":"-177+(6*(C6-1))-3","v":36},"to",{"$f":"-177+(6*(C6-1))+3","v":42},null,"Central Meridians of the zone =",null,null,{"$f":"-177+(6*(C6-1))","v":39}]
["Input this format dd-mm-ss (sample 29-01-00) or minutes must be 2-digits"]
[null,"Geographic (Ain El Abd)",null,null,null,null,"UTM-Grid (Ain El Abd)"]
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{"sheet":"8.geo_local-grid_WGS84","index":11,"n_rows":30,"n_cols":10,"rows_kept":30,"cut":false,"hidden":false,"merged":[[8,1,8,4],[8,6,8,9],[0,0,0,2],[2,7,3,7],[2,8,3,8],[6,6,6,8]]}
["Back to Introduction"]
[]
[null,"Note: This worksheet can be expand as much as you want.",null,null,null,null,null,"User's Input"]
[null,"         Just highlight the last row and drag it downward."]
[null,"*Be sure to Fill-up the required zone."]
[null,"Zone =",37]
[null,"l0 =",{"$f":"-177+(6*(C6-1))-3","v":36},"to",{"$f":"-177+(6*(C6-1))+3","v":42},null,"Central Meridians of the zone =",null,null,{"$f":"-177+(6*(C6-1))","v":39}]
["Input this format dd-mm-ss (sample 29-01-00) or minutes must be 2-digits"]
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{"sheet":"9.geo_local-geo-WGS84","index":12,"n_rows":30,"n_cols":10,"rows_kept":30,"cut":false,"hidden":false,"merged":[[0,0,0,2],[6,6,6,8],[8,1,8,4],[8,6,8,9],[2,7,3,7],[2,8,3,8]]}
["Back to Introduction"]
[]
[null,"Note: This worksheet can be expand as much as you want.",null,null,null,null,null,"User's Input"]
[null,"         Just highlight the last row and drag it downward."]
[null,"*Be sure to Fill-up the required zone.",null,null,null,null,"Geographic Latitude & Longitude Format = (Degrees-Minutes-Seconds)"]
[null,"Zone =",37]
[null,"l0 =",{"$f":"-177+(6*(C6-1))-3","v":36},"to",{"$f":"-177+(6*(C6-1))+3","v":42},null,"Central Meridians of the zone =",null,null,{"$f":"-177+(6*(C6-1))","v":39}]
["Input this format dd-mm-ss (sample 29-01-00) or minutes must be 2-digits"]
[null,"Geographic (Ain El Abd)",null,null,null,null,"Geographic (WGS-84)"]
[null,"pt.no","latitude","longitude","Elev.",null,"pt.no","latitude","longitude","Elev."]
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["Back to Introduction"]
[]
[null,"Note: This worksheet can be expand as much as you want.",null,null,null,null,null,"User's Input"]
[null,"         Just highlight the last row and drag it downward."]
[null,"*Be sure to Fill-up the required zone."]
[null,"Zone =",37]
[null,"l0 =",{"$f":"-177+(6*(C6-1))-3","v":36},"to",{"$f":"-177+(6*(C6-1))+3","v":42},null,"Central Meridians of the zone =",null,null,{"$f":"-177+(6*(C6-1))","v":39}]
["Input this format dd-mm-ss (sample 29-01-00) or minutes must be 2-digits"]
[null,"Geographic (WGS-84)",null,null,null,null,"UTM-Grid (WGS-84)"]
[null,"pt.no","latitude","longitude","Elev.",null,"pt.no","northing (m)","easting (m)","elev. (m)"]
[null,1,"29-52-31.756126","40-15-0.152258",120,null,{"$f":"IF(B11=\"\",\"\",B11)","v":1},{"$f":"IF(D11=\"\",\"\",WLat_to_WNorth(C11,D11,$J$7))","v":3305644.5509522236},{"$f":"IF(D11=\"\",\"\",WLon_to_WEast(C11,D11,$J$7))","v":620718.76876298571},{"$f":"IF(E11=\"\",\"\",E11)","v":120}]
[null,2,"29-52-53.070374","39-00-00.93728",0,null,{"$f":"IF(B12=\"\",\"\",B12)","v":2},{"$f":"IF(D12=\"\",\"\",WLat_to_WNorth(C12,D12,$J$7))","v":3305644.5650793305},{"$f":"IF(D12=\"\",\"\",WLon_to_WEast(C12,D12,$J$7))","v":500025.14049353817},{"$f":"IF(E12=\"\",\"\",E12)","v":0}]
[null,null,null,null,null,null,"","","",""]
[null,null,null,null,null,null,"","","",""]
[null,null,null,null,null,null,"","","",""]
[null,null,null,null,null,null,"","","",""]
[null,null,null,null,null,null,"","","",""]
[null,null,null,null,null,null,"","","",""]
[null,null,null,null,null,null,"","","",""]
[null,null,null,null,null,null,"","","",""]
[null,null,null,null,null,null,"","","",""]
[null,null,null,null,null,null,"","","",""]
[null,null,null,null,null,null,"","","",""]
[null,null,null,null,null,null,"","","",""]
[null,null,null,null,null,null,"","","",""]
[null,null,null,null,null,null,"","","",""]
[null,null,null,null,null,null,"","","",""]
[null,null,null,null,null,null,"","","",""]
[null,null,null,null,null,null,"","","",""]
[null,null,null,null,null,null,"","","",""]

{"sheet":"11.geo_WGS84-grid_local","index":14,"n_rows":30,"n_cols":10,"rows_kept":30,"cut":false,"hidden":false,"merged":[[8,1,8,4],[8,6,8,9],[0,0,0,2],[2,7,3,7],[2,8,3,8],[6,6,6,8]]}
["Back to Introduction"]
[]
[null,"Note: This worksheet can be expand as much as you want.",null,null,null,null,null,"User's Input"]
[null,"         Just highlight the last row and drag it downward."]
[null,"*Be sure to Fill-up the required zone."]
[null,"Zone =",37]
[null,"l0 =",{"$f":"-177+(6*(C6-1))-3","v":36},"to",{"$f":"-177+(6*(C6-1))+3","v":42},null,"Central Meridians of the zone =",null,null,{"$f":"-177+(6*(C6-1))","v":39}]
["Input this format dd-mm-ss (sample 29-01-00) or minutes must be 2-digits"]
[null,"Geographic (WGS-84)",null,null,null,null,"UTM-Grid (Ain El Abd)"]
[null,"pt.no","latitude","longitude","Elev.",null,"pt.no","northing (m)","easting (m)","elev. (m)"]
[null,1,"29-52-53.070373","39-00-00.93727",100,null,{"$f":"IF(B11=\"\",\"\",B11)","v":1},{"$f":"IF(D11=\"\",\"\",WLat_to_LNorth(C11, D11, E11, $J$7))","v":3305635.9672777778},{"$f":"IF(D11=\"\",\"\",WLon_to_LEast(C11, D11, E11, $J$7))","v":500118.51553174609},{"$f":"IF(E11=\"\",\"\",WH3_to_LH3(C11, D11, E11, $J$7))","v":93.268055784261961}]
[null,2,"29-52-53.070374","39-00-00.93728",0,null,{"$f":"IF(B12=\"\",\"\",B12)","v":2},{"$f":"IF(D12=\"\",\"\",WLat_to_LNorth(C12, D12, E12, $J$7))","v":3305635.9664174407},{"$f":"IF(D12=\"\",\"\",WLon_to_LEast(C12, D12, E12, $J$7))","v":500118.5172626758},{"$f":"IF(E12=\"\",\"\",WH3_to_LH3(C12, D12, E12, $J$7))","v":-6.7319442120858568}]
[null,null,null,null,null,null,"","","",""]
[null,null,null,null,null,null,"",{"$f":"IF(D14=\"\",\"\",WLat_to_LNorth(C14, D14, E14, $J$7))","v":""},"",""]
[null,null,null,null,null,null,"","","",""]
[null,null,null,null,null,null,"","","",""]
[null,null,null,null,null,null,"","","",""]
[null,null,null,null,null,null,"","","",""]
[null,null,null,null,null,null,"","","",""]
[null,null,null,null,null,null,"","","",""]
[null,null,null,null,null,null,"","","",""]
[null,null,null,null,null,null,"","","",""]
[null,null,null,null,null,null,"","","",""]
[null,null,null,null,null,null,"","","",""]
[null,null,null,null,null,null,"","","",""]
[null,null,null,null,null,null,"","","",""]
[null,null,null,null,null,null,"","","",""]
[null,null,null,null,null,null,"","","",""]
[null,null,null,null,null,null,"","","",""]
[null,null,null,null,null,null,"","","",""]

{"sheet":"12.geo_WGS84-geo_local","index":15,"n_rows":30,"n_cols":10,"rows_kept":30,"cut":false,"hidden":false,"merged":[[0,0,0,2],[8,1,8,4],[8,6,8,9],[2,7,3,7],[2,8,3,8],[6,6,6,8]]}
["Back to Introduction"]
[]
[null,"Note: This worksheet can be expand as much as you want.",null,null,null,null,null,"User's Input"]
[null,"         Just highlight the last row and drag it downward."]
[null,null,null,null,null,null,"Geographic Latitude & Longitude Format = (Degrees-Minutes-Seconds)"]
[]
[]
["Input this format dd-mm-ss (sample 29-01-00) or minutes must be 2-digits"]
[null,"Geographic (Ain El Abd)",null,null,null,null,"Geographic (WGS-84)"]
[null,"pt.no","latitude","longitude","Elev.",null,"pt.no","latitude","longitude","Elev."]
[null,1,"29-52-31.756126","40-15-02.152258",120,null,{"$f":"IF(B11=\"\",\"\",B11)","v":1},{"$f":"IF(D11=\"\",\"\",WLat_to_LLat(C11, D11, E11))","v":"29-52-29.885764"},{"$f":"IF(D11=\"\",\"\",WLon_to_LLon(C11, D11, E11))","v":"40-15-5.421069"},{"$f":"IF(E11=\"\",\"\",WH1_to_LH1(C11, D11, E11))","v":114.98775633586713}]
[null,2,"29-52-53.070374","39-00-00.93728",0,null,{"$f":"IF(B12=\"\",\"\",B12)","v":2},{"$f":"IF(D12=\"\",\"\",WLat_to_LLat(C12, D12, E12))","v":"29-52-51.231517"},{"$f":"IF(D12=\"\",\"\",WLon_to_LLon(C12, D12, E12))","v":"39-0-4.418312"},{"$f":"IF(E12=\"\",\"\",WH1_to_LH1(C12, D12, E12))","v":-6.7319442120858568}]
[null,null,null,null,null,null,"","","",""]
[null,null,null,null,null,null,"","","",""]
[null,null,null,null,null,null,"","","",""]
[null,null,null,null,null,null,"","","",""]
[null,null,null,null,null,null,"","","",""]
[null,null,null,null,null,null,"","","",""]
[null,null,null,null,null,null,"","","",""]
[null,null,null,null,null,null,"","","",""]
[null,null,null,null,null,null,"","","",""]
[null,null,null,null,null,null,"","","",""]
[null,null,null,null,null,null,"","","",""]
[null,null,null,null,null,null,"","","",""]
[null,null,null,null,null,null,"","","",""]
[null,null,null,null,null,null,"","","",""]
[null,null,null,null,null,null,"","","",""]
[null,null,null,null,null,null,"","","",""]
[null,null,null,null,null,null,"","","",""]
[null,null,null,null,null,null,"","","",""]

{"sheet":"local grid zone transformation","index":16,"n_rows":31,"n_cols":10,"rows_kept":31,"cut":false,"hidden":false,"merged":[[0,0,0,2],[2,7,3,7],[2,8,3,8],[9,14,10,14],[7,1,7,3],[7,6,7,8],[9,6,9,8],[9,1,9,3]]}
["Back to Introduction"]
[]
[null,"Note: This worksheet can be expand as much as you want.",null,null,null,null,null,"User's Input"]
[null,"         Just highlight the last row and drag it downward."]
[null,"*Be sure to Fill-up the required zone."]
[null,"Zone =",39,null,null,null,"Zone =",38]
[null,"l0 =",{"$f":"-177+(6*(C6-1))-3","v":48},"to",{"$f":"-177+(6*(C6-1))+3","v":54},null,"l0 =",{"$f":"-177+(6*(H6-1))-3","v":42},"to",{"$f":"-177+(6*(H6-1))+3","v":48}]
[null,"Central Meridians of the zone =",null,null,{"$f":"-177+(6*(C6-1))","v":51},null,"Central Meridians of the zone =",null,null,{"$f":"-177+(6*(H6-1))","v":45}]
[]
[null,"Original UTM-Grid (Ain El Abd)",null,null,null,null,"Transform UTM-Grid (Ain El Abd)"]
[null,"pt.no","northing (m)","easting (m)",null,null,"pt.no","northing (m)","easting (m)"]
[null,1,3305692.5660000001,620723.94400000002,null,null,{"$f":"IF(B12=\"\",\"\",B12)","v":1},{"$f":"IF(D12=\"\",\"\",z1North_to_z2North(C12, D12, $E$8, $J$8))","v":3327206.6396377897},{"$f":"IF(D12=\"\",\"\",z1East_to_z2East(C12, D12, $E$8, $J$8))","v":1201098.718957558},{"$f":"IF(E12=\"\",\"\",LH_to_WH(C12,D12,E12,$J$7))","v":""}]
[null,2,3305692.5660000001,500000,null,null,{"$f":"IF(B13=\"\",\"\",B13)","v":2},{"$f":"IF(D13=\"\",\"\",z1North_to_z2North(C13, D13, $E$8, $J$8))","v":3320855.8416251997},{"$f":"IF(D13=\"\",\"\",z1East_to_z2East(C13, D13, $E$8, $J$8))","v":1079934.8078035847},{"$f":"IF(E13=\"\",\"\",LH_to_WH(C13,D13,E13,$J$7))","v":""}]
[null,null,null,null,null,null,"","","",""]
[null,null,null,null,null,null,"","","",""]
[null,null,null,null,null,null,"","","",""]
[null,null,null,null,null,null,"","","",""]
[null,null,null,null,null,null,"","","",""]
[null,null,null,null,null,null,"","","",""]
[null,null,null,null,null,null,"","","",""]
[null,null,null,null,null,null,"","","",""]
[null,null,null,null,null,null,"","","",""]
[null,null,null,null,null,null,"","","",""]
[null,null,null,null,null,null,"","","",""]
[null,null,null,null,null,null,"","","",""]
[null,null,null,null,null,null,"","","",""]
[null,null,null,null,null,null,"","","",""]
[null,null,null,null,null,null,"","","",""]
[null,null,null,null,null,null,"","","",""]
[null,null,null,null,null,null,"","","",""]
[null,null,null,null,null,null,"","","",""]

{"sheet":"WGS84 grid zone transformation","index":17,"n_rows":31,"n_cols":10,"rows_kept":31,"cut":false,"hidden":false,"merged":[[0,0,0,2],[9,1,9,3],[9,6,9,8],[9,14,10,14],[2,7,3,7],[2,8,3,8],[7,1,7,3],[7,6,7,8]]}
["Back to Introduction"]
[]
[null,"Note: This worksheet can be expand as much as you want.",null,null,null,null,null,"User's Input"]
[null,"         Just highlight the last row and drag it downward."]
[null,"*Be sure to Fill-up the required zone."]
[null,"Zone =",39,null,null,null,"Zone =",38]
[null,"l0 =",{"$f":"-177+(6*(C6-1))-3","v":48},"to",{"$f":"-177+(6*(C6-1))+3","v":54},null,"l0 =",{"$f":"-177+(6*(H6-1))-3","v":42},"to",{"$f":"-177+(6*(H6-1))+3","v":48}]
[null,"Central Meridians of the zone =",null,null,{"$f":"-177+(6*(C6-1))","v":51},null,"Central Meridians of the zone =",null,null,{"$f":"-177+(6*(H6-1))","v":45}]
[]
[null,"Original UTM-Grid (WGS-84)",null,null,null,null,"Transform UTM-Grid (WGS-84)"]
[null,"pt.no","northing (m)","easting (m)",null,null,"pt.no","northing (m)","easting (m)"]
[null,1,3305692.5660000001,620723.94400000002,null,null,{"$f":"IF(B12=\"\",\"\",B12)","v":1},{"$f":"IF(D12=\"\",\"\",Wz1North_to_Wz2North(C12, D12, $E$8, $J$8))","v":3327206.2023422047},{"$f":"IF(D12=\"\",\"\",Wz1East_to_Wz2East(C12, D12, $E$8, $J$8))","v":1201071.3027335987},{"$f":"IF(E12=\"\",\"\",LH_to_WH(C12,D12,E12,$J$7))","v":""}]
[null,2,3305692.5660000001,500000,null,null,{"$f":"IF(B13=\"\",\"\",B13)","v":2},{"$f":"IF(D13=\"\",\"\",Wz1North_to_Wz2North(C13, D13, $E$8, $J$8))","v":3320855.3229883681},{"$f":"IF(D13=\"\",\"\",Wz1East_to_Wz2East(C13, D13, $E$8, $J$8))","v":1079907.4092602958},{"$f":"IF(E13=\"\",\"\",LH_to_WH(C13,D13,E13,$J$7))","v":""}]
[null,null,null,null,null,null,"","","",""]
[null,null,3083948.622,164156.932,null,null,"",3081973.3090464249,755132.81176481536,""]
[null,null,null,null,null,null,"","","",""]
[null,null,null,null,null,null,"","","",""]
[null,null,null,null,null,null,"","","",""]
[null,null,null,null,null,null,"","","",""]
[null,null,null,null,null,null,"","","",""]
[null,null,null,null,null,null,"","","",""]
[null,null,null,null,null,null,"","","",""]
[null,null,null,null,null,null,"","","",""]
[null,null,null,null,null,null,"","","",""]
[null,null,null,null,null,null,"","","",""]
[null,null,null,null,null,null,"","","",""]
[null,null,null,null,null,null,"","","",""]
[null,null,null,null,null,null,"","","",""]
[null,null,null,null,null,null,"","","",""]
[null,null,null,null,null,null,"","","",""]
[null,null,null,null,null,null,"","","",""]

{"sheet":"Area by Coordinates","index":18,"n_rows":375,"n_cols":24,"rows_kept":375,"cut":false,"hidden":false,"merged":[[0,0,0,1],[2,0,2,5],[7,13,8,17],[9,3,9,6],[9,20,9,23],[8,3,8,6],[4,5,5,5],[4,6,5,6]]}
["Back to Introduction"]
[]
["Note: The first coordinates must be repeated to the last"]
[null,"This coordinates must based on UTM Ain El Abd Local Datum"]
[null,null,null,null,null,"User's Input"]
[]
[null,null,null,null,null,null,null,"Elevation is important for ground area computation"]
[null,null,null,null,null,null,null,null,null,"Area (sq.m)",null,null,null,"Area by Coordinates",null,null,null,null,null,null,null,null,"combine factor"]
[null,null,null,"Area by Coordinates",null,null,null,null,"ground",{"$f":"(SQRT(R12)/W9)^2","v":226.77657010216208},null,null,null,null,null,null,null,null,null,null,null,"average",{"$f":"AVERAGE(X:X)","v":1.0026938062257649}]
[null,null,null,"UTM-Grid (Ain El Abd)",null,null,null,null,null,null,null,null,null,null,"Partial",null,"Double",null,null,null,"UTM-Grid (Ain El Abd)"]
[null,null,null,"pt.no","northing (m)","easting (m)","elev. (m)",null,null,null,null,null,null,"Pt No.","Area",null,"Area","Area (sq.m)",null,null,"pt.no","scale factor","height factor","combine factor"]
[null,null,null,1,0,0,0,null,null,null,null,null,null,{"$f":"IF(D12=\"\",\"\",D12)","v":1},null,"grid",{"$f":"ABS(SUM(O13:O106))","v":456},{"$f":"Q12/2","v":228},null,null,{"$f":"IF(D12=\"\",\"\",D12)","v":1},{"$f":" IF(F12=\"\",\"\",North_East_to_SF(E12, F12))","v":1.0026961465083488},{"$f":" IF(G12=\"\",\"\",6371221/(6371221+G12))","v":1},{"$f":"IF(W12=\"\",\"\",V12*W12)","v":1.0026961465083488}]
[null,null,null,2,18,0,0,null,null,null,null,null,null,2,{"$f":"IF(F13=\"\",\"\",(E12*F13)-(E13*F12))","v":0},"ground",null,{"$f":"(SQRT(R12)/W9)^2","v":226.77657010216208},null,null,2,1.0026961465083484,1,{"$f":"IF(W13=\"\",\"\",V13*W13)","v":1.0026961465083484}]
[null,null,null,3,18,10,100,null,null,"combine factor",null,null,null,3,180,null,null,null,null,null,3,1.0026960225981092,0.99998430466774468,1.0026802849508833]
[null,null,null,4,8,10,0,null,"average",{"$f":"AVERAGE(X:X)","v":1.0026938062257649},null,null,null,4,100,null,null,null,null,null,4,1.0026960225981094,1,1.0026960225981094]
[null,null,null,5,8,16,0,null,null,null,null,null,null,5,48,null,null,null,null,null,5,1.0026959482531581,1,1.0026959482531581]
[null,null,null,6,0,16,0,null,null,null,null,null,null,6,128,null,null,null,null,null,6,1.0026959482531581,1,1.0026959482531581]
[null,null,null,1,0,0,0,null,null,null,null,null,null,1,0,null,null,null,null,null,1,1.0026961465083488,1,1.0026961465083488]
[null,null,null,null,null,null,null,null,null,null,null,null,null,{"$f":"IF(D19=\"\",\"\",D19)","v":""},{"$f":"IF(F19=\"\",\"\",(E18*F19)-(E19*F18))","v":""},null,null,null,null,null,{"$f":"IF(D19=\"\",\"\",D19)","v":""},{"$f":" IF(F19=\"\",\"\",North_East_to_SF(E19, F19))","v":""},{"$f":" IF(G19=\"\",\"\",6371221/(6371221+G19))","v":""},{"$f":"IF(W19=\"\",\"\",V19*W19)","v":""}]
[null,null,null,null,null,null,null,null,null,null,null,null,null,"","",null,null,null,null,null,"","","",""]
[null,null,null,null,null,null,null,null,null,null,null,null,null,"","",null,null,null,null,null,"","","",""]
[null,null,null,null,null,null,null,null,null,null,null,null,null,"","",null,null,null,null,null,"","","",""]
[null,null,null,null,null,null,null,null,null,null,null,null,null,"","",null,null,null,null,null,"","","",""]
[null,null,null,null,null,null,null,null,null,null,null,null,null,"","",null,null,null,null,null,"","","",""]
[null,null,null,null,null,null,null,null,null,null,null,null,null,"","",null,null,null,null,null,"","","",""]
[null,null,null,null,null,null,null,null,null,null,null,null,null,"","",null,null,null,null,null,"","","",""]
[null,null,null,null,null,null,null,null,null,null,null,null,null,"","",null,null,null,null,null,"","","",""]
[null,null,null,null,null,null,null,null,null,null,null,null,null,"","",null,null,null,null,null,"","","",""]
[null,null,null,null,null,null,null,null,null,null,null,null,null,"","",null,null,null,null,null,"","","",""]
[null,null,null,null,null,null,null,null,null,null,null,null,null,"","",null,null,null,null,null,"","","",""]
[null,null,null,null,null,null,null,null,null,null,null,null,null,"","",null,null,null,null,null,"","","",""]
[null,null,null,null,null,null,null,null,null,null,null,null,null,"","",null,null,null,null,null,"","","",""]
[null,null,null,null,null,null,null,null,null,null,null,null,null,"","",null,null,null,null,null,"","","",""]
[null,null,null,null,null,null,null,null,null,null,null,null,null,"","",null,null,null,null,null,"","","",""]
[null,null,null,null,null,null,null,null,null,null,null,null,null,"","",null,null,null,null,null,"","","",""]
[null,null,null,null,null,null,null,null,null,null,null,null,null,"","",null,null,null,null,null,"","","",""]
[null,null,null,null,null,null,null,null,null,null,null,null,null,"","",null,null,null,null,null,"","","",""]
[null,null,null,null,null,null,null,null,null,null,null,null,null,"","",null,null,null,null,null,"","","",""]
[null,null,null,null,null,null,null,null,null,null,null,null,null,"","",null,null,null,null,null,"","","",""]
[null,null,null,null,null,null,null,null,null,null,null,null,null,"","",null,null,null,null,null,"","","",""]
[null,null,null,null,null,null,null,null,null,null,null,null,null,"","",null,null,null,null,null,"","","",""]
[null,null,null,null,null,null,null,null,null,null,null,null,null,"","",null,null,null,null,null,"","","",""]
[null,null,null,null,null,null,null,null,null,null,null,null,null,"","",null,null,null,null,null,"","","",""]
[null,null,null,null,null,null,null,null,null,null,null,null,null,"","",null,null,null,null,null,"","","",""]
[null,null,null,null,null,null,null,null,null,null,null,null,null,"","",null,null,null,null,null,"","","",""]
[null,null,null,null,null,null,null,null,null,null,null,null,null,"","",null,null,null,null,null,"","","",""]
[null,null,null,null,null,null,null,null,null,null,null,null,null,"","",null,null,null,null,null,"","","",""]
[null,null,null,null,null,null,null,null,null,null,null,null,null,"","",null,null,null,null,null,"","","",""]
[null,null,null,null,null,null,null,null,null,null,null,null,null,"","",null,null,null,null,null,"","","",""]
[null,null,null,null,null,null,null,null,null,null,null,null,null,"","",null,null,null,null,null,"","","",""]
[null,null,null,null,null,null,null,null,null,null,null,null,null,"","",null,null,null,null,null,"","","",""]
[null,null,null,null,null,null,null,null,null,null,null,null,null,"","",null,null,null,null,null,"","","",""]
[null,null,null,null,null,null,null,null,null,null,null,null,null,"","",null,null,null,null,null,"","","",""]
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{"sheet":"local CONVERGENCE_SF_HF_CF","index":19,"n_rows":28,"n_cols":10,"rows_kept":28,"cut":false,"hidden":false,"merged":[[0,0,0,2],[4,5,5,5],[2,7,3,7],[6,1,6,4],[6,6,6,9]]}
["Back to Introduction"]
[]
[null,"Note: This worksheet can be expand as much as you want."]
[null,"         Just highlight the last row and drag it downward."]
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[null,"BM=10",2632395.9139999999,477342.18699999998,181.76900000000001,null,"BM=10",0.99960634068515442,0.99997147111765017,0.99957782303346487]
[null,"BM=11",2631907.3990000002,477342.06099999999,121.256,null,"BM=11",0.99960634076052945,0.99998096853141327,0.99958731678385615]
[null,"BM=12",2631617.0430000001,477688.52299999999,119.111,null,"BM=12",0.99960614833284966,0.99998130518887318,0.9995874608847054]
[null,"BM=13",2631543.932,477617.26699999999,119.04300000000001,null,"BM=13",0.99960618766808162,0.99998131586146777,0.99958751088759357]
[null,"BM=14",2631530.0120000001,477692.20299999998,118.961,null,"BM=14",0.99960614630567113,0.99998132873136136,0.99958748239078066]
[null,"BM=15",2631467.284,477532.00199999998,118.474,null,"BM=15",0.99960623490139899,0.99998140516598055,0.99958764738937622]
[null,"BM=16",2631292.9870000002,477610.74800000002,117.45699999999999,null,"BM=16",0.99960619127537709,0.99998156478410416,0.99958776331943011]
[null,null,null,null,null,null,"","","",""]
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{"sheet":"Grid and Ground Dist.","index":20,"n_rows":35,"n_cols":13,"rows_kept":35,"cut":false,"hidden":false,"merged":[[0,0,0,1],[44,9,44,11],[46,3,46,6],[46,9,46,12],[1,10,2,10],[1,11,2,11],[40,10,41,10],[40,11,41,11]]}
["Back to Introduction"]
[null,null,null,null,null,null,null,null,null,null,"User's Input"]
[null,"Note: This worksheet refers from International 1924 Ellipsoid"]
[]
[null,"Line. No","Northing-1","Easting-1","Elev.1","Northing-2","Easting-2","Elev.2",null,"Line. No","Azimuth","UTM Grid Dist","Ground Dist"]
[null,"BM-01_BM-02",2634318.8489999999,477092.62900000002,196.35,2634174.4569999999,476754.266,169.51,null,{"$f":"IF(B6=\"\",\"\",B6)","v":"BM-01_BM-02"},{"$f":"IF(G6=\"\",\"\",Azimuth(C6, D6, F6, G6))","v":"246-53-24.96"},{"$f":"IF(G6=\"\",\"\",SQRT((F6-C6)^2+(G6-D6)^2))","v":367.88390754829987},{"$f":"IF(H6=\"\",\"\",Ground_Dist(C6,D6, E6, F6, G6, H6, L6))","v":368.04703655632949}]
[null,"BM-02_BM-03",2634174.4569999999,476754.266,169.51,2634035.56,476901.473,169.78899999999999,null,{"$f":"IF(B7=\"\",\"\",B7)","v":"BM-02_BM-03"},{"$f":"IF(G7=\"\",\"\",Azimuth(C7, D7, F7, G7))","v":"133-20-10.64"},{"$f":"IF(G7=\"\",\"\",SQRT((F7-C7)^2+(G7-D7)^2))","v":202.39139669947775},{"$f":"IF(H7=\"\",\"\",Ground_Dist(C7,D7, E7, F7, G7, H7, L7))","v":202.48039868373667}]
[null,"BM-03_BM-04",2634035.56,476901.473,169.78899999999999,2633600.4160000002,477058.859,141.584,null,"BM-03_BM-04","160-6-56.13",462.73172976560954,462.93349648223284]
[null,"BM-04_BM-05",2633600.4160000002,477058.859,141.584,2633531.2220000001,477062.00199999998,143.31100000000001,null,"BM-04_BM-05","177-23-57.27",69.265345484004087,69.295300803112085]
[null,"BM-05_BM-06",2633531.2220000001,477062.00199999998,143.31100000000001,2633380.8859999999,477073.78700000001,146.613,null,"BM-05_BM-06","175-31-3.68",150.79721191401003,150.86253144146471]
[null,null,null,null,null,null,null,null,null,"","","",""]
[null,null,null,null,null,null,null,null,null,"","","",""]
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[null,null,null,null,null,null,null,null,null,"","","",""]
[null,"5044-10525",2978617.7429999998,349136.815,20.896000000000001,2978587.0690000001,600000,14,null,"5044-10525","90-0-25.22",250863.18687531358,250946.50834708716]
[null,"10525-023",2978587.0690000001,348625.45600000001,14,2979355.1206999999,348483.34820000001,24.014099999999999,null,"10525-023","349-31-2.88",781.08772919134958,781.18306947922019]
[null,"023-5044",2988794.1195,350226.18650000001,18.14,3033585.9890000001,296212.65999999997,12.867000000000001,null,"023-5044","309-40-4.6",70169.598960456089,70170.683405278556]
[null,null,3042897.62,307877.25,8,3041192.2039999999,307578.86300000001,4.2880000000000003,null,"","189-55-27.35",1731.3227702614204,1731.2281622456353]
[null,null,null,null,null,null,null,null,null,"","","",""]
[null,null,null,null,null,null,null,null,null,"","","",""]
[null,null,null,null,null,null,null,null,null,"","","",""]
[null,null,null,null,null,null,null,null,null,"","","",""]
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[null,null,null,null,null,null,null,null,null,"","","",""]
[null,null,null,null,null,null,null,null,null,"","","",""]
[null,null,null,null,null,null,null,null,null,"","","",""]
[null,null,null,null,null,null,null,null,null,"","","",""]
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{"sheet":"Forward","index":21,"n_rows":26,"n_cols":25,"rows_kept":26,"cut":false,"hidden":false,"merged":[[0,7,0,15],[1,7,1,10],[1,12,1,15],[8,0,8,6],[10,7,10,9],[10,19,10,21],[8,16,8,24],[9,0,9,4],[9,5,9,6],[9,7,9,9],[9,16,9,22],[9,23,9,24]]}
["Back to Introduction",null,null,null,null,null,null,"CONVERTER"]
[null,null,null,null,null,null,null,"D-M-S to Degrees",null,null,null,null,"Degrees to D-M-S"]
[null,null,null,null,null,null,null,0,0,1,{"$f":"ABS(H3)+(ABS(I3)/60)+ABS(J3)/3600","v":2.7777777777777778E-4},null,233.13010199999999,{"$f":"TRUNC(M3)","v":233},{"$f":"TRUNC((M3-(N3))*60)","v":7},{"$f":"(M3-(N3)-(O3/60))*3600","v":48.367199999977394}]
[null,null,null,null,null,null,null,185,12,57,{"$f":"ABS(H4)+(ABS(I4)/60)+ABS(J4)/3600","v":185.21583333333334},null,306.86989799999998,{"$f":"TRUNC(M4)","v":306},{"$f":"TRUNC((M4-(N4))*60)","v":52},{"$f":"(M4-(N4)-(O4/60))*3600","v":11.632799999920174}]
[]
[]
["Note: Azimuth input DD.DDDD",null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"Note: Azimuth input DD-MM-SS"]
[]
["FORWARD",null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"FORWARD"]
["GIVEN",null,null,null,null,"REQUIRED",null,"AZIMUTH",null,null,null,null,null,null,null,null,"GIVEN",null,null,null,null,null,null,"REQUIRED"]
["PT. No","NORTHING-1","EASTING-1","AZIMUTH","DISTANCE","NORTHING-2","EASTING-2","DD-MM-SS",null,null,null,null,null,null,null,null,"PT. No","NORTHING-1","EASTING-1","AZIMUTH",null,null,"DISTANCE","NORTHING-2","EASTING-2"]
[1,10,10,233.1301024,5,{"$f":"B12+(E12*COS((D12*PI()/180)))","v":7.0000000032005154},{"$f":"C12+(E12*SIN((D12*PI()/180)))","v":5.9999999975996134},{"$f":"TRUNC(D12)","v":233},{"$f":"(TRUNC((D12-(H12))*60))","v":7},{"$f":"(D12-(H12)-(I12/60))*3600","v":48.368639999994222},null,null,null,null,null,null,1,10,10,233,7,48.37,5,{"$f":"R12+(W12*COS(((ABS(T12)+(ABS(U12)/60)+ABS(V12)/3600)*PI()/180)))","v":7.0000000295743803},{"$f":"R12+(W12*SIN(((ABS(T12)+(ABS(U12)/60)+ABS(V12)/3600)*PI()/180)))","v":5.9999999778192157}]
[2,10,10,306.8698976,5,12.999999996799483,{"$f":"C13+(E13*SIN((D13*PI()/180)))","v":5.9999999975996126},{"$f":"TRUNC(D13)","v":306},{"$f":"(TRUNC((D13-(H13))*60))","v":52},{"$f":"(D13-(H13)-(I13/60))*3600","v":11.631360000005664},null,null,null,null,null,null,2,10,10,306,52,11.63,5,{"$f":"R13+(W13*COS(((ABS(T13)+(ABS(U13)/60)+ABS(V13)/3600)*PI()/180)))","v":12.99999997042562},{"$f":"R13+(W13*SIN(((ABS(T13)+(ABS(U13)/60)+ABS(V13)/3600)*PI()/180)))","v":5.9999999778192139}]
[3,10,10,306.8698976,5,12.999999996799483,5.9999999975996126,{"$f":"TRUNC(D14)","v":306},{"$f":"(TRUNC((D14-(H14))*60))","v":52},{"$f":"(D14-(H14)-(I14/60))*3600","v":11.631360000005664},null,null,null,null,null,null,3,10,10,306,52,11.63,5,12.99999997042562,5.9999999778192139]
[4,10,10,306.8698976,5,12.999999996799483,5.9999999975996126,306,52,11.631360000005664,null,null,null,null,null,null,4,10,10,306,52,11.63,5,12.99999997042562,5.9999999778192139]
[5,10,10,306.8698976,5,12.999999996799483,5.9999999975996126,306,52,11.631360000005664,null,null,null,null,null,null,5,10,10,306,52,11.63,5,12.99999997042562,5.9999999778192139]
[6,10,10,306.8698976,5,12.999999996799483,5.9999999975996126,306,52,11.631360000005664,null,null,null,null,null,null,6,10,10,306,52,11.63,5,12.99999997042562,5.9999999778192139]
[7,10,10,306.8698976,5,12.999999996799483,5.9999999975996126,306,52,11.631360000005664,null,null,null,null,null,null,7,10,10,306,52,11.63,5,12.99999997042562,5.9999999778192139]
[8,10,10,306.8698976,5,12.999999996799483,5.9999999975996126,306,52,11.631360000005664,null,null,null,null,null,null,8,10,10,306,52,11.63,5,12.99999997042562,5.9999999778192139]
[9,10,10,306.8698976,5,12.999999996799483,5.9999999975996126,306,52,11.631360000005664,null,null,null,null,null,null,9,10,10,306,52,11.63,5,12.99999997042562,5.9999999778192139]
[10,10,10,306.8698976,5,12.999999996799483,5.9999999975996126,306,52,11.631360000005664,null,null,null,null,null,null,10,10,10,306,52,11.63,5,12.99999997042562,5.9999999778192139]
[11,10,10,306.8698976,5,12.999999996799483,5.9999999975996126,306,52,11.631360000005664,null,null,null,null,null,null,11,10,10,306,52,11.63,5,12.99999997042562,5.9999999778192139]
[12,10,10,306.8698976,5,12.999999996799483,5.9999999975996126,306,52,11.631360000005664,null,null,null,null,null,null,12,10,10,306,52,11.63,5,12.99999997042562,5.9999999778192139]
[13,10,10,306.8698976,5,12.999999996799483,5.9999999975996126,306,52,11.631360000005664,null,null,null,null,null,null,13,10,10,306,52,11.63,5,12.99999997042562,5.9999999778192139]
[14,10,10,306.8698976,5,12.999999996799483,5.9999999975996126,306,52,11.631360000005664,null,null,null,null,null,null,14,10,10,306,52,11.63,5,12.99999997042562,5.9999999778192139]
[15,10,10,306.8698976,5,{"$f":"B26+(E26*COS((D26*PI()/180)))","v":12.999999996799483},5.9999999975996126,306,52,11.631360000005664,null,null,null,null,null,null,15,10,10,306,52,11.63,5,12.99999997042562,5.9999999778192139]

{"sheet":"Inverse","index":22,"n_rows":29,"n_cols":16,"rows_kept":29,"cut":false,"hidden":false,"merged":[[9,0,9,4],[9,5,9,6],[9,7,9,9],[10,7,10,9],[0,7,0,15],[1,7,1,10],[1,12,1,15],[8,0,8,6]]}
["Back to Introduction",null,null,null,null,null,null,"CONVERTER"]
[null,null,null,null,null,null,null,"D-M-S to Degrees",null,null,null,null,"Degrees to D-M-S"]
[null,null,null,null,null,null,null,12,39,15,{"$f":"ABS(H3)+(ABS(I3)/60)+ABS(J3)/3600","v":12.654166666666667},null,12.654166699999999,{"$f":"TRUNC(M3)","v":12},{"$f":"TRUNC((M3-(N3))*60)","v":39},{"$f":"(M3-(N3)-(O3/60))*3600","v":15.000119999997485}]
[null,null,null,null,null,null,null,185,12,57,{"$f":"ABS(H4)+(ABS(I4)/60)+ABS(J4)/3600","v":185.21583333333334},null,12.345125599999999,{"$f":"TRUNC(M4)","v":12},{"$f":"TRUNC((M4-(N4))*60)","v":20},{"$f":"(M4-(N4)-(O4/60))*3600","v":42.452159999997782}]
[]
[]
[]
[]
["INVERSE"]
["GIVEN",null,null,null,null,"REQUIRED",null,"AZIMUTH"]
["PT. No","NORTHING-1","EASTING-1","NORTHING-2","EASTING-2","AZIMUTH","DISTANCE","DD-MM-SS"]
[3001,3041488,771296,3050272.66,769420.66,{"$f":"IF(AND(D12-B12=0,E12-C12>0),90,IF(AND(D12-B12=0,E12-C12<0),270,IF(AND(D12-B12>0,E12-C12>=0),DEGREES(ATAN((E12-C12)/(D12-B12))),IF(AND(D12-B12>0,E12-C12<0),360+(DEGREES(ATAN((E12-C12)/(D12-B12)))),180+(DEGREES(ATAN((E12-C12)/(D12-B12))))))))","v":347.94944501007978},{"$f":"SQRT((D12-B12)^2+(E12-C12)^2)","v":8982.6027091930591},{"$f":"TRUNC(F12)","v":347},{"$f":"(TRUNC((F12-(H12))*60))","v":56},{"$f":"(F12-(H12)-(I12/60))*3600","v":58.002036287225508}]
[3002,3041488,771296,3050824.4,768378.75,{"$f":"IF(AND(D13-B13=0,E13-C13>0),90,IF(AND(D13-B13=0,E13-C13<0),270,IF(AND(D13-B13>0,E13-C13>=0),DEGREES(ATAN((E13-C13)/(D13-B13))),IF(AND(D13-B13>0,E13-C13<0),360+(DEGREES(ATAN((E13-C13)/(D13-B13)))),180+(DEGREES(ATAN((E13-C13)/(D13-B13))))))))","v":342.64807195157357},{"$f":"SQRT((D13-B13)^2+(E13-C13)^2)","v":9781.5495972007557},{"$f":"TRUNC(F13)","v":342},{"$f":"(TRUNC((F13-(H13))*60))","v":38},{"$f":"(F13-(H13)-(I13/60))*3600","v":53.059025664852122}]
[3003,3041488,771296,3050873.97,767513.85,{"$f":"IF(AND(D14-B14=0,E14-C14>0),90,IF(AND(D14-B14=0,E14-C14<0),270,IF(AND(D14-B14>0,E14-C14>=0),DEGREES(ATAN((E14-C14)/(D14-B14))),IF(AND(D14-B14>0,E14-C14<0),360+(DEGREES(ATAN((E14-C14)/(D14-B14)))),180+(DEGREES(ATAN((E14-C14)/(D14-B14))))))))","v":338.05264439002099},{"$f":"SQRT((D14-B14)^2+(E14-C14)^2)","v":10119.342442244162},{"$f":"TRUNC(F14)","v":338},{"$f":"(TRUNC((F14-(H14))*60))","v":3},{"$f":"(F14-(H14)-(I14/60))*3600","v":9.5198040755531004}]
[3004,3041488,771296,3050815.21,766196,331.33072154482028,10630.46783467686,331,19,50.597561353001822]
[3005,3041488,771296,3050657.3,765525.78,327.81788452053956,10833.812871671555,327,49,4.3842739424326815]
[3006,3041488,771296,3050862.48,764477.63,323.97036263811742,11591.852514904576,323,58,13.305497222718232]
[3007,3041488,771296,3050760.04,762903.83,317.85159687114827,12505.968297996817,317,51,5.7487361337872134]
[3008,3041488,771296,3050796.02,762074.89,315.26874114869423,13102.217596746746,315,16,7.4681352992365779]
[3009,3041488,771296,3050094.04,762103.91,313.11406793854036,12591.999168110679,313,6,50.644578745291234]
[3010,3041488,771296,3050093.26,763418.26,317.52725769819983,11666.588497722716,317,31,38.127713519397545]
[45,3041488,771296,3062054.54,771110.7,359.48379160141099,20567.374739173727,359,29,1.6497650795463281]
[46,3041488,771296,3061186.55,764329.47,340.5235030052603,20894.147801319705,340,31,24.610818937062319]
[47,3041488,771296,3064275.34,768979.68,354.1958528473632,22904.763753813157,354,11,45.070250507515134]
[48,3041488,771296,3066997.66,777834.85,14.376993106390135,26334.375113871742,14,22,37.175183004484701]
[49,3041488,771296,3068327.52,781669.17,21.130951560600252,28774.33734561583,21,7,51.425618160907327]
[50,3041488,771296,3070510.75,784784.56,24.927033816665201,32004.082058951502,24,55,37.321739994723792]
[43,3041488,771296,2997296.13,771874.01,179.25063942337235,44195.649895176444,179,15,2.301924140454048]
[44,2703858.9251000001,232990.97899999999,2703867.8202999998,232999.05350000001,{"$f":"IF(AND(E29-C29=0,D29-B29>0),90,IF(AND(E29-C29=0,D29-B29<0),270,IF(AND(E29-C29>0,D29-B29>=0),DEGREES(ATAN((D29-B29)/(E29-C29))),IF(AND(E29-C29>0,D29-B29<0),360+(DEGREES(ATAN((D29-B29)/(E29-C29)))),180+(DEGREES(ATAN((D29-B29)/(E29-C29))))))))","v":47.768819508824684},{"$f":"SQRT((E29-C29)^2+(D29-B29)^2)","v":12.013414722074721},47,46,7.7502317688633138]

{"sheet":"Parabolic Curve","index":23,"n_rows":9,"n_cols":8,"rows_kept":9,"cut":false,"hidden":false,"merged":[[3,7,3,8]]}
["Back to Introduction"]
[]
[]
[null,null,null,null,null,null,null,"VERTICAL PARABOLIC INFORMATION"]
[null,null,null,null,null,null,null,"Parabolic Vertical Intersection (PVI) station"]
[null,null,null,null,null,null,null,"Parabolic Vertical Intersection (PVI) elevation"]
[null,null,null,null,null,null,null,"Length of Vertical Curve"]
[null,null,null,null,null,null,null,"Grade Slope-1"]
[null,null,null,null,null,null,null,"Grade Slope-2"]

{"sheet":"Topo BS zero Azimuth","index":24,"n_rows":43,"n_cols":28,"rows_kept":43,"cut":false,"hidden":false,"merged":[[16,19,16,27],[17,19,17,22],[17,24,17,27],[1,0,1,16],[2,0,2,2],[6,4,6,12],[10,0,10,7],[10,9,10,16]]}
["Back to Introduction"]
["Angles input values are DD.dddd"]
["Fixed Coordinates"]
["Points No.","Northing","Easting"]
["Occ. Pt.",100,100,"azimuth","distance",null,null,null,null,"Note: Data input are ground distances and the output are grid values vice versa"]
["BS Pt.",100,90,{"$f":"IF(AND(B6-B5>0,C6-C5>0),DEGREES(ATAN((C6-C5)/(B6-B5))),IF(AND(B6-B5>0,C6-C5=0),0,IF(AND(B6-B5=0,C6-C5>0),90,IF(AND(B6-B5=0,C6-C5<0),270,IF(AND(B6-B5>0,C6-C5<0),360+(DEGREES(ATAN((C6-C5)/(B6-B5)))),180+(DEGREES(ATAN((C6-C5)/(B6-B5)))))))))","v":270},{"$f":"SQRT((B6-B5)^2+(C6-C5)^2)","v":10},null,null,null,null,"         Angles value are Degrees in decimal"]
[null,null,null,null,"Horizontal angles data must clockwise value, zero reading from back sight"]
["Note: Data input are ground values and the output also are ground values",null,null,null,null,null,null,null,null,null,null,null,null,null,"Combine Factor =",0.99983253999999999]
["         If data input are grid values and the output also are grid values"]
["         Angles value are Degrees in decimal"]
["LOCAL COORDINATES",null,null,null,null,null,null,null,null,"LOCAL COORDINATES"]
["Pt No","Hor. Angle","Slope Distance","Zenith Angle","Northing","Easting","Azimuth","hor. Dist.",null,"Pt No","Hor. Angle","Slope Distance","Zenith Angle","Northing","Easting","Azimuth","hor. Dist."]
["Occ.Pt to 1",0,10,90,{"$f":"$B$5+(H13*COS((G13*PI()/180)))","v":100},{"$f":"$C$5+(H13*SIN((G13*PI()/180)))","v":90},{"$f":"IF($D$6+B13>360,$D$6+B13-360,$D$6+B13)","v":270},{"$f":"C13*SIN((D13*PI()/180))","v":10},null,"Occ.Pt to 1",90.080590277777773,1135.8399999999999,90.010555999999994,{"$f":"$B$5+(Q13*COS((P13*PI()/180)))","v":1235.6486495598463},{"$f":"$C$5+(Q13*SIN((P13*PI()/180)))","v":101.59736548242336},{"$f":"IF($D$6+K13>360,$D$6+K13-360,$D$6+K13)","v":8.0590277777787378E-2},{"$f":"L13*$P$8*SIN((M13*PI()/180))","v":1135.6497729597743}]
["1 to 2",90,10,90,{"$f":"$B$5+(H14*COS((G14*PI()/180)))","v":110},{"$f":"$C$5+(H14*SIN((G14*PI()/180)))","v":100},{"$f":"IF($D$6+B14>360,$D$6+B14-360,$D$6+B14)","v":360},{"$f":"C14*SIN((D14*PI()/180))","v":10},null,"1 to 2",181.51024305555555,650.8492,89.869444000000001,{"$f":"$B$5+(Q14*COS((P14*PI()/180)))","v":750.48770487338345},{"$f":"$C$5+(Q14*SIN((P14*PI()/180)))","v":118.06561551259446},{"$f":"IF(P13-180+K14<0,360+P13-180+K14,IF(P13-180+K14>360,P13-180+K14-360,P13-180+K14))","v":1.590833333333336},{"$f":"L14*$P$8*SIN((M14*PI()/180))","v":650.73851941873772}]
["2 to 3",90,10,90,{"$f":"$B$5+(H15*COS((G15*PI()/180)))","v":110},{"$f":"$C$5+(H15*SIN((G15*PI()/180)))","v":100},{"$f":"IF($D$6+B15>360,$D$6+B15-360,$D$6+B15)","v":360},{"$f":"C15*SIN((D15*PI()/180))","v":10},null,"2 to 3",167.98864583333332,980.35500000000002,89.919721999999993,{"$f":"$B$5+(Q15*COS((P15*PI()/180)))","v":1064.0233547222872},{"$f":"$C$5+(Q15*SIN((P15*PI()/180)))","v":-77.288319303700973},{"$f":"IF(P14-180+K15<0,360+P14-180+K15,IF(P14-180+K15>360,P14-180+K15-360,P14-180+K15))","v":349.5794791666666},{"$f":"L15*$P$8*SIN((M15*PI()/180))","v":980.18986763358441}]
["3 to 4",90,10,90,{"$f":"$B$5+(H16*COS((G16*PI()/180)))","v":110},{"$f":"$C$5+(H16*SIN((G16*PI()/180)))","v":100},{"$f":"IF($D$6+B16>360,$D$6+B16-360,$D$6+B16)","v":360},{"$f":"C16*SIN((D16*PI()/180))","v":10},null,"3 to 4",null,null,92,{"$f":"$B$5+(Q16*COS((P16*PI()/180)))","v":100},{"$f":"$C$5+(Q16*SIN((P16*PI()/180)))","v":100},{"$f":"IF(P15-180+K16<0,360+P15-180+K16,IF(P15-180+K16>360,P15-180+K16-360,P15-180+K16))","v":169.5794791666666},{"$f":"L16*$P$8*SIN((M16*PI()/180))","v":0}]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"CONVERTER"]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"D-M-S to Degrees",null,null,null,null,"Degrees to D-M-S"]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,12,39,15,{"$f":"ABS(T19)+(ABS(U19)/60)+ABS(V19)/3600","v":12.654166666666667},null,233.13010199999999,{"$f":"TRUNC(Y19)","v":233},{"$f":"TRUNC((Y19-(Z19))*60)","v":7},{"$f":"(Y19-(Z19)-(AA19/60))*3600","v":48.367199999977394}]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,185,12,57,{"$f":"ABS(T20)+(ABS(U20)/60)+ABS(V20)/3600","v":185.21583333333334},null,306.86989799999998,{"$f":"TRUNC(Y20)","v":306},{"$f":"TRUNC((Y20-(Z20))*60)","v":52},{"$f":"(Y20-(Z20)-(AA20/60))*3600","v":11.632799999920174}]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,90,4,50.125,{"$f":"ABS(T21)+(ABS(U21)/60)+ABS(V21)/3600","v":90.080590277777773}]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,181,30,36.875,181.51024305555555]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,167,59,19.125,167.98864583333332]
[]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,90,0,38,90.010555555555555]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,89,52,10,89.86944444444444]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,89,55,11,89.919722222222234]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[null,null,null,null,{"$f":"$B$9+((SQRT(C43^2+D43^2))*COS(((IF(AND($D$9-$B$9=0,$E$9-$C$9>0),90,IF(AND($D$9-$B$9=0,$E$9-$C$9<0),270,IF(AND($D$9-$B$9>0,$E$9-$C$9>=0),DEGREES(ATAN(($E$9-$C$9)/($D$9-$B$9))),IF(AND($D$9-$B$9>0,$E$9-$C$9<0),360+(DEGREES(ATAN(($E$9-$C$9)/($D$9-$B$9)))),180+(DEGREES(ATAN(($E$9-$C$9)/($D$9-$B$9)))))))))+(IF(AND(C43=0,D43>0),90,IF(AND(C43=0,D43<0),270,IF(AND(C43>0,D43>=0),DEGREES(ATAN((D43)/(C43))),IF(AND(C43>0,D43<0),360+(DEGREES(ATAN((D43)/(C43)))),180+(DEGREES(ATAN((D43)/(C43))))))))))*PI()/180))","v":{"$error":"#DIV/0!"}}]

{"sheet":"Transit Rule","index":25,"n_rows":34,"n_cols":29,"rows_kept":34,"cut":false,"hidden":false,"merged":[[32,1,32,2],[3,9,3,10],[3,18,3,20],[3,22,3,27],[4,25,4,26],[29,0,29,1],[1,0,1,3],[1,4,1,6],[2,2,2,4],[2,18,2,20],[25,25,25,26]]}
["Back to Introduction"]
["Traverse Adjustment Program",null,null,null,"Transit Rules"]
[null,null,"Azimuth",null,null,null,null,null,null,null,null,null,null,null,null,null,null,"Adjusted","Adjusted"]
[null,null,null,null,null,null,null,null,null,"Corrections to",null,"Corrected","Corrected",null,null,null,"Adjusted","Azimuth","Azimuth",null,null,null,"Area Calculations"]
["Sta","Dist","Deg","Min","Sec","Latitude","Departure","Abs Lat","Abs Dep","Latitude","Departure","Latitude","Departure","Northing","Easting","Sta","Distance","DD.DDDD","Deg","Min","Sec",null,"DMD","2A",null,"Coordinates"]
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[null,400.85199999999998,199,19,34,{"$f":"B7*COS((ABS(C7)+(ABS(D7)/60)+ABS(E7)/3600)*0.01745329252)","v":-378.26408197694212},{"$f":"B7*SIN((ABS(C7)+(ABS(D7)/60)+ABS(E7)/3600)*0.01745329252)","v":-132.65975346781397},{"$f":"ABS(F7)","v":378.26408197694212},{"$f":"ABS(G7)","v":132.65975346781397},{"$f":"$F$27*H7/$H$27","v":7.7642198537680757E-2},{"$f":"$G$27*I7/$I$27","v":-2.1939251808004696E-5},{"$f":"F7+J7","v":-378.18643977840446},{"$f":"G7+K7","v":-132.65977540706578},null,null,null,{"$f":"SQRT(L7^2+M7^2)","v":400.77874100720203},{"$f":"IF(AND(L7>0,M7>0),DEGREES(ATAN(M7/L7)),IF(AND(L7>0,M7<0),360+(DEGREES(ATAN(M7/L7))),180+(DEGREES(ATAN(M7/L7)))))","v":199.32978749423265},{"$f":"TRUNC(R7)","v":199},{"$f":"TRUNC((R7-(S7))*60)","v":19},{"$f":"(R7-(S7)-(T7/60))*3600","v":47.234979237530354},null,{"$f":"M7","v":-132.65977540706578},{"$f":"W7*L7","v":50170.128163000947}]
[2,null,null,null,null,null,null,null,null,null,null,null,null,{"$f":"N6+L7","v":6760.950560221595},{"$f":"O6+M7","v":7748.3972245929344},2,null,null,null,null,null,null,null,null,null,{"$f":"N8","v":6760.950560221595},7748.3972245929344,{"$f":"(Z6*AA8)-(Z8*AA6)","v":2033432.5775004029}]
[null,525.36,117,23,34,{"$f":"B9*COS((ABS(C9)+(ABS(D9)/60)+ABS(E9)/3600)*0.01745329252)","v":-241.71176371013084},{"$f":"B9*SIN((ABS(C9)+(ABS(D9)/60)+ABS(E9)/3600)*0.01745329252)","v":466.45316258348805},{"$f":"ABS(F9)","v":241.71176371013084},466.45316258348805,{"$f":"$F$27*H9/$H$27","v":4.9613573270800106E-2},{"$f":"$G$27*I9/$I$27","v":-7.7141959961822136E-5},{"$f":"F9+J9","v":-241.66215013686005},466.45308544152812,null,null,null,{"$f":"SQRT(L9^2+M9^2)","v":525.33710674831627},{"$f":"IF(AND(L9>0,M9>0),DEGREES(ATAN(M9/L9)),IF(AND(L9>0,M9<0),360+(DEGREES(ATAN(M9/L9))),180+(DEGREES(ATAN(M9/L9)))))","v":117.3879772829208},{"$f":"TRUNC(R9)","v":117},{"$f":"TRUNC((R9-(S9))*60)","v":23},{"$f":"(R9-(S9)-(T9/60))*3600","v":16.7182185148828},null,{"$f":"W7+M7+M9","v":201.13353462739656},{"$f":"W9*L9","v":-48606.362442683247}]
[3,null,null,null,null,null,null,null,null,null,null,null,null,{"$f":"N8+L9","v":6519.288410084735},{"$f":"O8+M9","v":8214.8503100344624},3,null,null,null,null,null,null,null,null,null,6519.288410084735,8214.8503100344624,{"$f":"(Z8*AA10)-(Z10*AA8)","v":5026160.5827425942}]
[null,514.88800000000003,47,39,55,346.75679118971544,380.61710459175646,346.75679118971544,380.61710459175646,{"$f":"$F$27*H11/$H$27","v":7.1175035930274078E-2},{"$f":"$G$27*I11/$I$27","v":-6.2946404480528447E-5},346.8279662256457,380.617041645352,null,null,null,514.93588974461397,{"$f":"IF(AND(L11>0,M11>0),DEGREES(ATAN(M11/L11)),IF(AND(L11>0,M11<0),360+(DEGREES(ATAN(M11/L11))),180+(DEGREES(ATAN(M11/L11)))))","v":47.659418791767834},47,39,33.907650364202404,null,{"$f":"W9+M9+M11","v":1048.2036617142767},363546.34418263729]
[4,null,null,null,null,null,null,null,null,null,null,null,null,{"$f":"N10+L11","v":6866.1163763103805},{"$f":"O10+M11","v":8595.4673516798139},4,null,null,null,null,null,null,null,null,null,6866.1163763103805,8595.4673516798139,-367787.55759808421]
[null,542.45799999999997,329,19,55,466.58807950504166,-276.68799364590592,466.58807950504166,276.68799364590592,{"$f":"$F$27*H13/$H$27","v":9.5771515272903715E-2},{"$f":"$G$27*I13/$I$27","v":-4.5758622386720494E-5},466.68385102031459,-276.6880394045283,null,null,null,542.5404021385624,{"$f":"IF(AND(L13>0,M13>0),DEGREES(ATAN(M13/L13)),IF(AND(L13>0,M13<0),360+(DEGREES(ATAN(M13/L13))),180+(DEGREES(ATAN(M13/L13)))))","v":329.33709911762742},329,20,13.556823458702706,null,{"$f":"W11+M11+M13","v":1152.1326639551003},537681.70850086014]
[5,null,null,null,null,null,null,null,null,null,null,null,null,{"$f":"N12+L13","v":7332.8002273306947},{"$f":"O12+M13","v":8318.7793122752864},5,null,null,null,null,null,null,null,null,null,7332.8002273306947,8318.7793122752864,-5911138.0834859535]
[null,478.66699999999997,246,7,46,-193.70298665880571,-437.72280023829978,193.70298665880571,437.72280023829978,{"$f":"$F$27*H15/$H$27","v":3.9759328109882461E-2},{"$f":"$G$27*I15/$I$27","v":-7.2390536583221991E-5},-193.66322733069583,-437.72287262883634,null,null,null,478.65097810678424,{"$f":"IF(AND(L15>0,M15>0),DEGREES(ATAN(M15/L15)),IF(AND(L15>0,M15<0),360+(DEGREES(ATAN(M15/L15))),180+(DEGREES(ATAN(M15/L15)))))","v":246.13380014740557},246,8,1.6805306600372272,null,{"$f":"W13+M13+M15","v":437.72175192173557},-84770.607150009528]
[1,null,null,null,null,null,null,null,null,null,null,null,null,{"$f":"N14+L15","v":7139.1369999999988},{"$f":"O14+M15","v":7881.0564396464497},1,null,null,null,null,null,null,null,null,null,7139.1369999999988,{"$f":"O16","v":7881.0564396464497},-1598692.7308535203]
[]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"`"]
[]
[]
[]
[]
[]
[]
[]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"Double Area",{"$f":"ABS(SUM(X7:X25))","v":818021.21125380567},null,"Double Area",null,{"$f":"ABS(SUM(AB8:AB25))","v":818025.21169456095}]
["Sum",{"$f":"SUM(B7:B26)","v":2462.2249999999999},null,null,null,{"$f":"ABS(SUM(F7:F26))","v":0.33396165112154108},{"$f":"SUM(G7:G26)","v":-2.8017677522029771E-4},1627.0237030406356,1694.140814527264,0.33396165112154114,-2.8017677522029777E-4,0,-5.6035355032690859E-4,null,null,null,null,null,null,null,null,null,"Area",{"$f":"X26/2","v":409010.60562690283},null,null,"Area",{"$f":"AB26/2","v":409012.60584728047}]
[]
[]
["Linear Error =",null,{"$f":"SQRT(F27^2+G27^2)","v":0.33396176864852556}]
[null,null,null,null,null,null,null,"Data input",null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"difference"]
[]
[null,"Accuracy Ratio"]
[null,"1/",{"$f":"B27/C30","v":7372.77506333769}]

{"sheet":"Area by Plane Coordinates","index":26,"n_rows":16,"n_cols":10,"rows_kept":16,"cut":false,"hidden":false,"merged":[[1,0,1,5],[6,3,7,9]]}
["Back to Introduction"]
["Note: The first coordinates must be repeated to the last"]
[]
[]
[]
[]
[null,null,null,"Area by Coordinates"]
[]
[null,null,null,null,null,null,"Partial",null,"Double"]
[null,null,null,"Point No.","Northing","Easting","Area",null,"Area","Area (sq.m)"]
[null,null,null,1,6232.9769999999999,4559.527,null,null,{"$f":"ABS(SUM(G12:G105))","v":385770.28428160772},{"$f":"I11/2","v":192885.14214080386}]
[null,null,null,2,5853.0274487287516,4253.8723365473952,{"$f":"(E11*F12)-(E12*F11)","v":-172748.24958368763}]
[null,null,null,3,5573.0281784035524,4504.3524724974995,{"$f":"(E12*F13)-(E13*F12)","v":2657148.26136709}]
[null,null,null,4,5759.6260649848136,4805.6632004262692,{"$f":"(E13*F14)-(E14*F13)","v":838710.52541720867}]
[null,null,null,5,6103.7591582911136,4661.4986275935316,{"$f":"(E14*F15)-(E15*F14)","v":-2484121.7738857791}]
[null,null,null,1,6232.9769999999999,4559.527,{"$f":"(E15*F16)-(E16*F15)","v":-1224759.0475964397}]

{"sheet":"Area by Azimuth and Distance","index":27,"n_rows":14,"n_cols":34,"rows_kept":14,"cut":false,"hidden":false,"merged":[[10,25,10,33],[11,25,11,28],[11,30,11,33],[7,0,7,9],[7,12,7,23],[8,13,8,15],[9,5,9,6],[9,19,9,20]]}
["Back to Introduction"]
[null,"Lat","Dep",null,null,null,null,null,null,null,null,null,null,"Lat","Dep"]
["Error",{"$f":"SUM(D11:D51)","v":193.66322709995927},{"$f":"SUM(E11:E61)","v":437.72231196084419},null,null,null,null,null,null,null,null,null,"Error",{"$f":"SUM(R11:R53)","v":193.66299017572408},{"$f":"SUM(S11:S134)","v":437.72262462166043}]
[]
[]
["Note: Azimuth input by decimal ( DD.DDDD)",null,null,null,null,null,null,null,null,null,null,null,"Note: Azimuth input by decimal ( DD-MM-SS)"]
[]
["Area computation by Azimuth and Distance",null,null,null,null,null,null,null,null,null,null,null,"Area computation by Azimuth and Distance"]
[null,null,null,null,null,null,null,null,"Double",null,null,null,null,"Azimuth",null,null,null,null,null,null,null,null,"Double"]
["Line","Azimuth","Distance","Latitude","Departure","DMD Method",null,null,"Area","Area (sq.m)",null,null,"Line","Deg","Min","Sec","Distance","Latitude","Departure","DMD Method",null,null,"Area","Area (sq.m)"]
["1 to 2",199.32978750000001,400.77874100000002,{"$f":"C11*COS(B11*0.01745329252)","v":-378.18643975675565},{"$f":"C11*SIN(B11*0.01745329252)","v":-132.65977544702446},{"$f":"E11","v":-132.65977544702446},{"$f":"F11*D11","v":50170.128175240847},null,{"$f":"ABS(SUM(G11:G34))","v":902791.81792569428},{"$f":"I11/2","v":451395.90896284714},null,null,"1 to 2",199,19,47.23,400.77870000000001,{"$f":"Q11*COS((ABS(N11)+(ABS(O11)/60)+ABS(P11)/3600)*0.01745329252)","v":-378.18640428373016},{"$f":"Q11*SIN((ABS(N11)+(ABS(O11)/60)+ABS(P11)/3600)*0.01745329252)","v":-132.65975270832146},{"$f":"S11","v":-132.65975270832146},{"$f":"T11*R11","v":50170.114869928926},null,{"$f":"ABS(SUM(U11:U18))","v":902791.70782032388},{"$f":"W11/2","v":451395.85391016194},null,"CONVERTER"]
["2 to 3",117.3879773,525.33710670000005,{"$f":"C12*COS(B12*0.01745329252)","v":-241.66215025678306},{"$f":"C12*SIN(B12*0.01745329252)","v":466.45308532498234},{"$f":"F11+E11+E12","v":201.13353443093342},{"$f":"F12*D12","v":-48606.362419326084},null,null,null,null,null,"2 to 3",117,23,16.72,525.33709999999996,{"$f":"Q12*COS((ABS(N12)+(ABS(O12)/60)+ABS(P12)/3600)*0.01745329252)","v":-241.6621510643493},{"$f":"Q12*SIN((ABS(N12)+(ABS(O12)/60)+ABS(P12)/3600)*0.01745329252)","v":466.45307736080122},{"$f":"T11+S11+S12","v":201.13357194415829},{"$f":"T12*R12","v":-48606.371647281347},null,null,null,null,"D-M-S to Degrees",null,null,null,null,"Degrees to D-M-S"]
["3 to 4",47.659418789999997,514.93588969999996,{"$f":"C13*COS(B13*0.01745329252)","v":346.82796620631171},{"$f":"C13*SIN(B13*0.01745329252)","v":380.61704160261138},{"$f":"F12+E12+E13","v":1048.2036613585271},{"$f":"F13*D13","v":363546.34403898747},null,null,null,null,null,"3 to 4",47,39,33.909999999999997,514.93600000000004,{"$f":"Q13*COS((ABS(N13)+(ABS(O13)/60)+ABS(P13)/3600)*0.01745329252)","v":346.82803614986653},{"$f":"Q13*SIN((ABS(N13)+(ABS(O13)/60)+ABS(P13)/3600)*0.01745329252)","v":380.61712709286599},{"$f":"T12+S12+S13","v":1048.2037763978255},{"$f":"T13*R13","v":363546.45725293166},null,null,null,null,233,7,48.37,{"$f":"ABS(Z13)+(ABS(AA13)/60)+ABS(AB13)/3600","v":233.13010277777778},null,233.13010199999999,{"$f":"TRUNC(AE13)","v":233},{"$f":"TRUNC((AE13-(AF13))*60)","v":7},{"$f":"(AE13-(AF13)-(AG13/60))*3600","v":48.367199999977394}]
["4 to 1",329.33709909999999,542.54040210000005,{"$f":"C14*COS(B14*0.01745329252)","v":466.68385090718624},{"$f":"C14*SIN(B14*0.01745329252)","v":-276.68803951972507},{"$f":"F13+E13+E14","v":1152.1326634414136},{"$f":"F14*D14","v":537681.70813079202},null,null,null,null,null,"4 to 1",329,20,13.56,542.54,{"$f":"Q14*COS((ABS(N14)+(ABS(O14)/60)+ABS(P14)/3600)*0.01745329252)","v":466.683509373937},{"$f":"Q14*SIN((ABS(N14)+(ABS(O14)/60)+ABS(P14)/3600)*0.01745329252)","v":-276.68782712368534},{"$f":"T13+S13+S14","v":1152.1330763670062},{"$f":"T14*R14","v":537681.50734474463},null,null,null,null,185,12,57,{"$f":"ABS(Z14)+(ABS(AA14)/60)+ABS(AB14)/3600","v":185.21583333333334},null,306.86989799999998,{"$f":"TRUNC(AE14)","v":306},{"$f":"TRUNC((AE14-(AF14))*60)","v":52},{"$f":"(AE14-(AF14)-(AG14/60))*3600","v":11.632799999920174}]

{"sheet":"Line and Offset","index":28,"n_rows":30,"n_cols":14,"rows_kept":30,"cut":false,"hidden":false,"merged":[[8,12,8,13],[3,2,3,6],[8,2,8,4],[8,5,8,6],[8,9,8,11]]}
["Back to Introduction"]
[null,null,"REFERENCE LINE (OR) LINE & OFFSET PROGRAM"]
[]
[null,null,"Reference Line Fixed"]
[null,null,"Line No","Northing 1","Easting 1","Northing 2","Easting 2"]
[null,null,"1 to 2",100,100,50,100]
[]
[]
[null,null,"GIVEN",null,null,"REQUIRED",null,null,null,"GIVEN",null,null,"REQUIRED"]
[null,null,"Point No.","Line","Offset","Northing","Easting",null,null,"Point No.","Northing","Easting","Line","Offset"]
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[null,null,2,-30,40,{"$f":"IF(D12<>\"\",$D$6+((SQRT(D12^2+E12^2))*COS(((IF(AND($F$6-$D$6=0,$G$6-$E$6>0),90,IF(AND($F$6-$D$6=0,$G$6-$E$6<0),270,IF(AND($F$6-$D$6>0,$G$6-$E$6>=0),DEGREES(ATAN(($G$6-$E$6)/($F$6-$D$6))),IF(AND($F$6-$D$6>0,$G$6-$E$6<0),360+(DEGREES(ATAN(($G$6-$E$6)/($F$6-$D$6)))),180+(DEGREES(ATAN(($G$6-$E$6)/($F$6-$D$6)))))))))+(IF(AND(D12=0,E12>0),90,IF(AND(D12=0,E12<0),270,IF(AND(D12>0,E12>=0),DEGREES(ATAN((E12)/(D12))),IF(AND(D12>0,E12<0),360+(DEGREES(ATAN((E12)/(D12)))),180+(DEGREES(ATAN((E12)/(D12))))))))))*PI()/180)),\"\")","v":130.00000000000003},{"$f":"IF(E12<>\"\",$E$6+((SQRT(D12^2+E12^2))*SIN(((IF(AND($F$6-$D$6=0,$G$6-$E$6>0),90,IF(AND($F$6-$D$6=0,$G$6-$E$6<0),270,IF(AND($F$6-$D$6>0,$G$6-$E$6>=0),DEGREES(ATAN(($G$6-$E$6)/($F$6-$D$6))),IF(AND($F$6-$D$6>0,$G$6-$E$6<0),360+(DEGREES(ATAN(($G$6-$E$6)/($F$6-$D$6)))),180+(DEGREES(ATAN(($G$6-$E$6)/($F$6-$D$6)))))))))+(IF(AND(D12=0,E12>0),90,IF(AND(D12=0,E12<0),270,IF(AND(D12>0,E12>=0),DEGREES(ATAN((E12)/(D12))),IF(AND(D12>0,E12<0),360+(DEGREES(ATAN((E12)/(D12)))),180+(DEGREES(ATAN((E12)/(D12))))))))))*PI()/180)),\"\")","v":60.000000000000021},null,null,2,130,60,{"$f":"IF(K12<>\"\",(SQRT((L12-$E$6)^2+(K12-$D$6)^2)*COS((IF(AND(K12-$D$6=0,L12-$E$6>0),90,IF(AND(K12-$D$6=0,L12-$E$6<0),270,IF(AND(K12-$D$6>0,L12-$E$6>=0),DEGREES(ATAN((L12-$E$6)/(K12-$D$6))),IF(AND(K12-$D$6>0,L12-$E$6<0),360+(DEGREES(ATAN((L12-$E$6)/(K12-$D$6)))),180+(DEGREES(ATAN((L12-$E$6)/(K12-$D$6))))))))-(IF(AND($F$6-$D$6=0,$G$6-$E$6>0),90,IF(AND($F$6-$D$6=0,$G$6-$E$6<0),270,IF(AND($F$6-$D$6>0,$G$6-$E$6>=0),DEGREES(ATAN(($G$6-$E$6)/($F$6-$D$6))),IF(AND($F$6-$D$6>0,$G$6-$E$6<0),360+(DEGREES(ATAN(($G$6-$E$6)/($F$6-$D$6)))),180+(DEGREES(ATAN(($G$6-$E$6)/($F$6-$D$6))))))))))*PI()/180)),\"\")","v":-30.000000000000011},{"$f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v":39.999999999999993}]
[null,null,3,-30,-40,130.00000000000006,139.99999999999997,null,null,3,130,140,-29.999999999999993,-40.000000000000007]
[null,null,4,30,-40,70.000000000000014,140,null,null,4,70,140,30,-40]
[null,null,5,0,40,99.999999999999986,60,null,null,5,100,60,2.45029690981724E-15,40]
[null,null,6,30,0,70,100,null,null,6,70,100,30,0]
[null,null,7,0,5,100,95,null,null,7,100,95,3.06287113727155E-16,5]
[null,null,8,-30,0,130,99.999999999999986,null,null,8,130,100,-30,-3.67544536472586E-15]
[null,null,9,-30,0,130,99.999999999999986,null,null,9,130,100,-30,-3.67544536472586E-15]
[null,null,10,30,40,70,60,null,null,10,130,100,-30,-3.67544536472586E-15]
[null,null,11,-30,40,130.00000000000003,60.000000000000021,null,null,11,70,60,30,40]
[null,null,12,-30,-40,130.00000000000006,139.99999999999997,null,null,12,130,60,-30.000000000000011,39.999999999999993]
[null,null,13,30,-40,70.000000000000014,140,null,null,13,130,140,-29.999999999999993,-40.000000000000007]
[null,null,14,0,40,99.999999999999986,60,null,null,14,70,140,30,-40]
[null,null,15,30,0,70,100,null,null,15,100,60,2.45029690981724E-15,40]
[null,null,16,0,5,100,95,null,null,16,70,100,30,0]
[null,null,17,-30,0,130,99.999999999999986,null,null,17,100,95,3.06287113727155E-16,5]
[null,null,18,-30,0,130,99.999999999999986,null,null,18,130,100,-30,-3.67544536472586E-15]
[null,null,19,-30,0,130,99.999999999999986,null,null,19,130,100,-30,-3.67544536472586E-15]
[null,null,20,-30,0,130,99.999999999999986,null,null,20,130,100,-30,-3.67544536472586E-15]

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["Back to Introduction"]
[null,"Note: Automatic computation of COMBINE FACTOR as per given references"]
[]
[null,null,"Present Location on Reference Line",null,null,null,null,null,null,null,null,null,"Present Location on Reference Line"]
[null,null,"GIVEN",null,null,null,null,"COMPUTED",null,null,null,null,"GIVEN",null,null,null,null,"COMPUTED"]
[null,null,"Line Name","Northing A","Easting A","Northing B","Easting B","AZIMUTH","DISTANCE",null,null,null,"Line Name","Northing A","Easting A","AZIMUTH","DISTANCE","Northing B","Easting B"]
[null,null,"A to B",67102.52,75145.838000000003,67089.581000000006,75148.585999999996,{"$f":"IF(AND(F7-D7=0,G7-E7>0),90,IF(AND(F7-D7=0,G7-E7<0),270,IF(AND(F7-D7>0,G7-E7>=0),DEGREES(ATAN((G7-E7)/(F7-D7))),IF(AND(F7-D7>0,G7-E7<0),360+(DEGREES(ATAN((G7-E7)/(F7-D7)))),180+(DEGREES(ATAN((G7-E7)/(F7-D7))))))))","v":168.00961497047305},{"$f":"SQRT((F7-D7)^2+(G7-E7)^2)","v":13.227593318511065},null,null,null,"A to B",84.052000000000007,1261.8810000000001,39.316285999999998,561.51900000000001,{"$f":"N7+(Q7*COS((P7*PI()/180)))","v":518.47687014666451},{"$f":"O7+(Q7*SIN((P7*PI()/180)))","v":1617.6598913905009}]
[]
[null,null,"Proposed Location on Reference Line",null,null,null,null,null,null,null,null,null,"Proposed Location on Reference Line"]
[null,null,"GIVEN",null,null,null,null,"COMPUTED",null,null,null,null,"GIVEN",null,null,null,null,"COMPUTED"]
[null,null,"Line Name","Northing A","Easting A","Northing B","Easting B","AZIMUTH","DISTANCE",null,null,null,"Line Name","Northing A","Easting A","AZIMUTH","DISTANCE","Northing B","Easting B"]
[null,null,"A to B",3014163.07,349777.37099999998,3014155.3119999999,349788.08199999999,{"$f":"IF(AND(F12-D12=0,G12-E12>0),90,IF(AND(F12-D12=0,G12-E12<0),270,IF(AND(F12-D12>0,G12-E12>=0),DEGREES(ATAN((G12-E12)/(F12-D12))),IF(AND(F12-D12>0,G12-E12<0),360+(DEGREES(ATAN((G12-E12)/(F12-D12)))),180+(DEGREES(ATAN((G12-E12)/(F12-D12))))))))","v":125.91589384215752},{"$f":"SQRT((F12-D12)^2+(G12-E12)^2)","v":13.225433263182344},null,null,null,"A to B",-5.8289999999999997,1661.664,61.004080999999999,421.13900000000001,{"$f":"N12+(Q12*COS((P12*PI()/180)))","v":198.3170026830729},{"$f":"O12+(Q12*SIN((P12*PI()/180)))","v":2030.0150104635561}]
[]
[null,null,"GIVEN",null,null,"REQUIRED",null,null,null,null,null,null,"GIVEN",null,null,"REQUIRED"]
[null,null,"Present Location",null,null,"Location",null,null,null,null,null,null,"Present Location",null,null,"Location"]
[null,null,"Point No.","Northing","Easting","Northing","Easting",null,null,null,null,null,"Point No.","Northing","Easting","Northing","Easting"]
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[]
[]
[null,null,null,null,null,null,null,"Data Input"]
[]
[]
[null,"Note: Inputing the value of COMBINE FACTOR is a must to get the correct result"]
[]
[null,null,"Scale Factor=",null,0.9,null,null,null,null,null,null,null,"Scale Factor=",null,1]
[]
[null,null,"Present Location on Reference Line",null,null,null,null,null,null,null,null,null,"Present Location on Reference Line"]
[null,null,"GIVEN",null,null,null,null,"COMPUTED",null,null,null,null,"GIVEN",null,null,null,null,"COMPUTED"]
[null,null,"Line Name","Northing A","Easting A","Northing B","Easting B","AZIMUTH","DISTANCE",null,null,null,"Line Name","Northing A","Easting A","AZIMUTH","DISTANCE","Northing B","Easting B"]
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[]
[null,null,"Proposed Location on Reference Line",null,null,null,null,null,null,null,null,null,"Proposed Location on Reference Line"]
[null,null,"GIVEN",null,null,null,null,"COMPUTED",null,null,null,null,"GIVEN",null,null,null,null,"COMPUTED"]
[null,null,"Line Name","Northing A","Easting A","Northing B","Easting B","AZIMUTH","DISTANCE",null,null,null,"Line Name","Northing A","Easting A","AZIMUTH","DISTANCE","Northing B","Easting B"]
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[]
[null,null,"GIVEN",null,null,"REQUIRED",null,null,null,null,null,null,"GIVEN",null,null,"REQUIRED"]
[null,null,"Present Location",null,null,"Location",null,null,null,null,null,null,"Present Location",null,null,"Location"]
[null,null,"Point No.","Northing","Easting","Northing","Easting",null,null,null,null,null,"Point No.","Northing","Easting","Northing","Easting"]
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{"sheet":"coordinates transformation","index":30,"n_rows":55,"n_cols":13,"rows_kept":55,"cut":false,"hidden":false,"merged":[]}
["Back to Introduction"]
[null,"Co-ordinate Transformation",null,null,null,null,null,null,null,null,null,"Instructions:"]
[]
[null,null,"Bearing:",106.18950155004863,"deg",null,null,"Bearing:",64.097497465258655,"deg",null,"1.    Enter the co-ordinates of 2 points in two different co-ordinate systems into the top boxes."]
[null,null,"Baselength:",4339.8288242653089,"m",null,null,"Baselength:",4339.09513987433,"m",null,"2.    Enter the co-ordinates of other points into the boxes on the left hand side."]
[null,null,"Scale Factor:",0.99983094162910835,null,null,null,"Base Error:",733.6843909788513,"mm",null,"3.    Note:","Data Input"]
[null,null,"Scale Error:",169.05837089160923,"mm/Km",null,null,"Alpha:",0.74194394212546322," "]
[null,null,"Northing Origin:",2914013.3136652475,"m",null,null,"Beta",0.67020974223169638]
[null,null,"Easting Origin:",338996.15960934095,"m",null,null,"Rotation:",-42.092004084789977,"deg"]
[]
[null,"Original Co-ordinates (m)",null,null,null,null,"Transformed Co-ordinates (m)"]
[null,"No","Northing","Easting","Elevation",null,"No","Northing","Easting","Elevation"]
[null,2024,40970.133999999998,66590.716,null,null,2024,2989040.6030000001,360944.15500000003,""]
[null,3115,39760.124000000003,70758.448000000004,null,null,3115,2990936.0980000002,364847.33899999998,""]
[]
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[null,3,200,500,null,null,3,2914496.8073247881,339233.08963195729,""]
[null,4,100,400,null,null,4,2914355.5919563528,339225.916211968,""]
[null,5,150,400,null,null,5,2914392.6891534589,339192.40572485642,""]
[null,6,200,400,null,null,6,2914429.786350565,339158.89523774479,""]
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{"sheet":"R.C. Jubail transformation","index":31,"n_rows":23,"n_cols":22,"rows_kept":23,"cut":false,"hidden":false,"merged":[[15,19,15,20],[16,19,16,20],[10,19,10,20],[12,19,12,30],[13,19,13,20],[14,19,14,20],[7,19,7,20],[8,19,8,20],[9,19,9,20],[6,1,6,3],[6,4,6,5],[6,8,6,10],[6,11,6,12],[6,19,6,30],[4,19,4,29],[5,1,5,3],[5,4,5,5],[5,8,5,10],[5,11,5,12],[4,5,4,6],[4,12,4,13],[0,0,0,2],[2,1,2,5],[2,8,2,12],[3,5,3,6],[3,12,3,13]]}
["Back to Introduction"]
[]
[]
[null,"Line Name","LAT","DEP","ROTATION","SCALE FACOR",null,null,"Line Name","LAT","DEP","ROTATION","SCALE FACOR"]
[null,"A to B",2914013.3059999999,338996.27399999998,42.092082040000001,0.99983062899999997,null,null,"A to B",-1935487.8829999999,-2205265.2319999998,-42.092082040000001,1.0001693979999999,null,null,null,null,null,null,"JUBAIL ROYAL COMMISSION COORDINATES CONVERSION"]
[null,"Given",null,null,"Transform",null,null,null,"Given",null,null,"Transform",null,null,null,null,null,null,null,"DATA:"]
[null,"R.C. Coordinates",null,null,"U.T.M. Coordinates",null,null,null,"U.T.M. Coordinates",null,null,"R.C.Coordinates",null,null,null,null,null,null,null,"FROM JUBAIL ROYAL COMMISSION COORDINATES TO UTM (ZONE 39_ AIN EL ABD DATUM - SAUDI ARABIA)"]
[null,"Point No.","Northing","Easting","Northing","Easting",null,null,"Point No.","Northing","Easting","Northing","Easting",null,null,null,null,null,null,"LATITUDE",null,2914013.3059999999]
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[null,3,70563.630999999994,77332.95,3018196.8421843443,349080.40993306186,null,null,3,2990255.7349999999,365363.08299999998,38909.385912932688,70685.084295653738,null,null,null,null,null,null,"SCALE FACTOR",null,0.99983062899999997]
[null,4,39818.319000000003,69984.388000000006,2990460.4956436697,364234.0295033243,null,null,4,2990460.4939999999,364234.03100000002,39818.315796501469,69984.386601334903]
[null,5,40958.841,69476.081999999995,2990966.0256879963,363092.50565936987,null,null,5,2990966.0260000001,363092.50799999997,40958.838680242887,69476.082539729308,null,null,null,null,null,null,"FROM UTM (ZONE 39_ AIN EL ABD DATUM - SAUDI ARABIA) TO JUBAIL ROYAL COMMISSION COORDINATES "]
[null,6,40990.273000000001,68882.918000000005,2990591.8016680144,362631.34584362112,null,null,6,2990591.804,362631.348,40990.272302937694,68882.919758254662,null,null,null,null,null,null,"LATITUDE",null,-1935487.8829999999]
[null,7,40926.28,68045.597999999998,2989983.1418313817,362052.99108300358,null,null,7,2989983.1460000002,362052.99200000003,40926.281497112708,68045.600071155932,null,null,null,null,null,null,"DEPARTURE",null,-2205265.2319999998]
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[null,9,null,null,null,null,null,null,9,null,null,null,null,null,null,null,null,null,null,"SCALE FACTOR",null,1.0001693979999999]
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[null,14,null,null,null,null,null,null,14]
[null,15,null,null,null,null,null,null,15]

{"sheet":"Right triangle solver","index":32,"n_rows":26,"n_cols":9,"rows_kept":26,"cut":false,"hidden":false,"merged":[]}
["Back to Introduction"]
[]
[]
[]
[]
[null,"Right Triangle Solver"]
[null,"Enter ONLY TWO known pieces of information"]
[null,null,null,null,null,null,null,"Degrees"]
[null,null,null,null,"a","b","c","Y","Z"]
[null,"a=",3,null,{"$f":"IF(OR(C11=\"\",C12=\"\"),\"\",SQRT((C12*C12)-(C11*C11)))","v":""},{"$f":"IF(OR(C10=\"\",C12=\"\"),\"\",SQRT((C12*C12)-(C10*C10)))","v":4},{"$f":"IF(OR(C10=\"\",C11=\"\"),\"\",SQRT((C10*C10)+(C11*C11)))","v":""},{"$f":"IF(OR(C10=\"\",C11=\"\"),\"\",ATAN(SUM(C11/C10))*180/PI())","v":""},{"$f":"IF(OR(C10=\"\",C11=\"\"),\"\",SUM(90-H10))","v":""}]
[null,"b=",null,null,{"$f":"IF(OR(C12=\"\",C15=\"\"),\"\",SUM(C12*COS((C15)/180*PI())))","v":""},{"$f":"IF(OR(C12=\"\",C15=\"\"),\"\",SUM(C12*SIN((C15)/180*PI())))","v":""},{"$f":"IF(OR(C11=\"\",C15=\"\"),\"\",SUM(C11/SIN((C15)/180*PI())))","v":""},{"$f":"IF(OR(C10=\"\",C12=\"\"),\"\",SUM(90-I11))","v":53.13010235415598},{"$f":"IF(OR(C10=\"\",C12=\"\"),\"\",ASIN(SUM(C10/C12))*180/PI())","v":36.86989764584402}]
[null,"c=",5,null,{"$f":"IF(OR(C12=\"\",C16=\"\"),\"\",SUM(C12*SIN((C16)/180*PI())))","v":""},{"$f":"IF(OR(C12=\"\",C16=\"\"),\"\",SUM(C12*COS((C16)/180*PI())))","v":""},{"$f":"IF(OR(C11=\"\",C16=\"\"),\"\",SUM(C11/COS((C16)/180*PI())))","v":""},{"$f":"IF(OR(C11=\"\",C12=\"\"),\"\",ASIN(SUM(C11/C12))*180/PI())","v":""},{"$f":"IF(OR(C11=\"\",C12=\"\"),\"\",SUM(90-H12))","v":""}]
[null,null,null,null,{"$f":"IF(OR(C11=\"\",C15=\"\"),\"\",SUM(C11*TAN((90-C15)/180*PI())))","v":""},{"$f":"IF(OR(C10=\"\",C15=\"\"),\"\",SUM(C10*TAN((C15)/180*PI())))","v":""},{"$f":"IF(OR(C10=\"\",C15=\"\"),\"\",SUM(C10/COS((C15)/180*PI())))","v":""},{"$f":"IF(OR(C12=\"\",C16=\"\"),\"\",SUM(90-C16))","v":""},{"$f":"IF(OR(C12=\"\",C15=\"\"),\"\",SUM(90-C15))","v":""}]
[null,"X=",90,null,{"$f":"IF(OR(C11=\"\",C16=\"\"),\"\",SUM(C11*TAN((C16)/180*PI())))","v":""},{"$f":"IF(OR(C10=\"\",C16=\"\"),\"\",SUM(C10*TAN((90-C16)/180*PI())))","v":""},{"$f":"IF(OR(C10=\"\",C16=\"\"),\"\",SUM(C10/SIN((C16)/180*PI())))","v":""},{"$f":"IF(OR(C11=\"\",C16=\"\"),\"\",SUM(90-C16))","v":""},{"$f":"IF(OR(C11=\"\",C15=\"\"),\"\",SUM(90-C15))","v":""}]
[null,"Y=",null,{"$f":"IF(OR(C15=\"\",C16=\"\"),\"\",\"This will not work with 2 angles entered\")","v":""},null,null,null,{"$f":"IF(OR(C10=\"\",C16=\"\"),\"\",SUM(90-C16))","v":""},{"$f":"IF(OR(C10=\"\",C15=\"\"),\"\",SUM(90-C15))","v":""}]
[null,"Z="]
[null,null,null,null,"Degree Converter"]
[null,null,null,null,"Degrees entered as a decimal will be converted to Deg, Min, Sec"]
[null,null,null,null,{"$f":"IF(G19=\"\",\"\",+G19)","v":6},"Degrees",6,{"$f":"IF(G19+G20+G21=\"\",\"\",TRUNC(E19))","v":6},"Degrees"]
[null,"Y",null,null,{"$f":"IF(G20=\"\",\"\",G20/60)","v":0.41666666666666669},"Minutes",25,{"$f":"IF(G19+G20+G21=\"\",\"\",TRUNC((E22-H19)*60))","v":25},"Minutes"]
[null,null,null,null,{"$f":"IF(G21=\"\",\"\",G21/3600)","v":8.3333333333333339E-4},"Seconds",3,{"$f":"IF(G19+G20+G21=\"\",\"\",((E22-H19)*60-H20)*60)","v":3.0000000000015348},"Seconds"]
[null,null,null,"c",{"$f":"IF(G19+G20+G21=\"\",\"\",SUM(E19+E20+E21))","v":6.4175000000000004}," Angle as a decimal"]
[null,"a  ",null,null,null,"NOTE: ","The Degree Converter above has"]
[null,null,null,null,null,null,"no influence on the Right Triangle"]
[null,null,null,null,"Z     ",null,"calculations."]
[null,"X",null,"b"]

{"sheet":"triangle solver","index":33,"n_rows":42,"n_cols":20,"rows_kept":42,"cut":false,"hidden":false,"merged":[[6,1,6,9],[12,11,12,19],[13,11,13,14],[13,16,13,19]]}
["Back to Introduction"]
[]
[]
[]
[]
[null,"Triangle Solver"]
[null,"Enter ONLY 3-known pieces of information except 3-angles"]
[null,null,null,null,null,null,null,"Degrees"]
[null,null,null,null,"a","b","c","A","B","C"]
[null,"a=",322.41800000000001,null,{"$f":"IF(OR(C11=\"\",C12=\"\",C14=\"\"),\"\",SQRT(C11^2+C12^2-(2*C11*C12*COS(C14*PI()/180))))","v":322.41800715123378},null,null,null,{"$f":"IF(OR(C11=\"\",C12=\"\",C14=\"\"),\"\",DEGREES(ACOS((E10^2+C12^2-C11^2)/2/E10/C12)))","v":59.365813463008706},{"$f":"IF(OR(C11=\"\",C12=\"\",C14=\"\"),\"\",DEGREES(ACOS((E10^2+C11^2-C12^2)/2/E10/C11)))","v":98.922317536991315}]
[null,"b=",749.90899999999999,null,{"$f":"IF(OR(C11=\"\",C12=\"\",C15=\"\"),\"\",SQRT(C11^2+C12^2-(2*C11*C12*COS(H11*PI()/180))))","v":555.0324462196653},null,null,{"$f":"IF(OR(C11=\"\",C12=\"\",C15=\"\"),\"\",180-J11-C15)","v":39.556493828274469},null,{"$f":"IF(OR(C11=\"\",C12=\"\",C15=\"\"),\"\",DEGREES(ASIN(SIN(C15*PI()/180)*C12/C11)))","v":81.077690561725532}]
[null,"c=",860.99710000000005,null,{"$f":"IF(OR(C11=\"\",C12=\"\",C16=\"\"),\"\",SQRT(C11^2+C12^2-(2*C11*C12*COS(H12*PI()/180))))","v":322.41802755242981},null,null,{"$f":"IF(OR(C11=\"\",C12=\"\",C16=\"\"),\"\",180-I12-C16)","v":21.711870577818047},{"$f":"IF(OR(C11=\"\",C12=\"\",C16=\"\"),\"\",IF(C10^2+C12^2<C11^2,180-(DEGREES(ASIN(SIN(C16*PI()/180)*C11/C12))),DEGREES(ASIN(SIN(C16*PI()/180)*C11/C12))))","v":59.365814032181966}]
[null,null,null,null,{"$f":"IF(OR(C11=\"\",C14=\"\",C15=\"\"),\"\",SIN(C14*PI()/180)*C11/SIN(C15*PI()/180))","v":322.41799999642177},null,{"$f":"IF(OR(C11=\"\",C14=\"\",C15=\"\"),\"\",SQRT(E13^2+C11^2-(2*C11*E13*COS(J13*PI()/180))))","v":860.9970859587014},null,null,{"$f":"IF(OR(C11=\"\",C14=\"\",C15=\"\"),\"\",180-C14-C15)","v":98.922315389999994},null,"CONVERTER"]
[null,"A=",21.711869,null,{"$f":"IF(OR(C11=\"\",C14=\"\",C16=\"\"),\"\",SIN(C14*PI()/180)*C11/SIN(I14*PI()/180))","v":322.41799999642177},null,{"$f":"IF(OR(C11=\"\",C14=\"\",C16=\"\"),\"\",SQRT(E14^2+C11^2-(2*C11*E14*COS(C16*PI()/180))))","v":860.9970859587014},null,{"$f":"IF(OR(C11=\"\",C14=\"\",C16=\"\"),\"\",180-C14-C16)","v":59.365815609999999},null,null,"D-M-S to Degrees",null,null,null,null,"Degrees to D-M-S"]
[null,"B=",59.365815609999999,null,{"$f":"IF(OR(C12=\"\",C14=\"\",C15=\"\"),\"\",SIN(C14*PI()/180)*C12/SIN(J15*PI()/180))","v":322.41800525447371},{"$f":"IF(OR(C12=\"\",C14=\"\",C15=\"\"),\"\",SQRT(E15^2+C12^2-(2*E15*C12*COS(C15*PI()/180))))","v":749.90901222965351},null,null,null,{"$f":"IF(OR(C12=\"\",C14=\"\",C15=\"\"),\"\",180-C14-C15)","v":98.922315389999994},null,6,25,3,{"$f":"ABS(L15)+(ABS(M15)/60)+ABS(N15)/3600","v":6.4175000000000004},null,233.13010199999999,{"$f":"TRUNC(Q15)","v":233},{"$f":"TRUNC((Q15-(R15))*60)","v":7},{"$f":"(Q15-(R15)-(S15/60))*3600","v":48.367199999977394}]
[null,"C=",98.922315389999994,null,{"$f":"IF(OR(C12=\"\",C14=\"\",C16=\"\"),\"\",SIN(C14*PI()/180)*C12/SIN(C16*PI()/180))","v":322.41800525447371},{"$f":"IF(OR(C12=\"\",C14=\"\",C16=\"\"),\"\",SQRT(E16^2+C12^2-(2*E16*C12*COS(C15*PI()/180))))","v":749.90901222965351},null,null,{"$f":"IF(OR(C12=\"\",C14=\"\",C16=\"\"),\"\",180-C14-C16)","v":59.365815609999999},null,null,185,12,57,{"$f":"ABS(L16)+(ABS(M16)/60)+ABS(N16)/3600","v":185.21583333333334},null,306.86989799999998,{"$f":"TRUNC(Q16)","v":306},{"$f":"TRUNC((Q16-(R16))*60)","v":52},{"$f":"(Q16-(R16)-(S16/60))*3600","v":11.632799999920174}]
[null,null,null,null,{"$f":"IF(OR(C11=\"\",C15=\"\",C16=\"\"),\"\",SIN(H17*PI()/180)*C11/SIN(C15*PI()/180))","v":322.417999996422},null,{"$f":"IF(OR(C11=\"\",C15=\"\",C16=\"\"),\"\",SQRT(E17^2+C11^2-(2*C11*E17*COS(C16*PI()/180))))","v":860.99708595870152},{"$f":"IF(OR(C11=\"\",C15=\"\",C16=\"\"),\"\",180-C15-C16)","v":21.711869000000007}]
[null,null,null,null,null,{"$f":"IF(OR(C10=\"\",C12=\"\",C14=\"\"),\"\",SQRT(C10^2+C12^2-(2*C10*C12*COS(I18*PI()/180))))","v":849.91992401172843},null,null,{"$f":"IF(OR(C10=\"\",C12=\"\",C14=\"\"),\"\",180-J18-C14)","v":77.21044044232471},{"$f":"IF(OR(C10=\"\",C12=\"\",C14=\"\"),\"\",DEGREES(ASIN(SIN(C14*PI()/180)*C12/C10)))","v":81.077690557675282}]
[null,null,null,null,null,{"$f":"IF(OR(C10=\"\",C12=\"\",C15=\"\"),\"\",SQRT(C10^2+C12^2-(2*C10*C12*COS(C15*PI()/180))))","v":749.90901304459703},null,{"$f":"IF(OR(C10=\"\",C12=\"\",C15=\"\"),\"\",DEGREES(ACOS((F19^2+C12^2-C10^2)/2/C12/F19)))","v":21.711868603396965},null,{"$f":"IF(OR(C10=\"\",C12=\"\",C15=\"\"),\"\",180-H19-C15)","v":98.922315786603036}]
[null,null,null,null,null,{"$f":"IF(OR(C10=\"\",C12=\"\",C16=\"\"),\"\",SQRT(C10^2+C12^2-(2*C10*C12*COS(I20*PI()/180))))","v":749.90901511154959},null,{"$f":"IF(OR(C10=\"\",C12=\"\",C16=\"\"),\"\",DEGREES(ASIN(SIN(C16*PI()/180)*C10/C12)))","v":21.711868628189993},{"$f":"IF(OR(C10=\"\",C12=\"\",C16=\"\"),\"\",180-H20-C16)","v":59.365815981810016}]
[null,null,null,null,null,{"$f":"IF(OR(C10=\"\",C14=\"\",C15=\"\"),\"\",SIN(C15*PI()/180)*C10/SIN(C14*PI()/180))","v":749.90900000832255},{"$f":"IF(OR(C10=\"\",C14=\"\",C15=\"\"),\"\",SQRT(C10^2+F21^2-(2*C10*F21*COS(J21*PI()/180))))","v":860.9970859682569},null,null,{"$f":"IF(OR(C10=\"\",C14=\"\",C15=\"\"),\"\",180-C14-C15)","v":98.922315389999994}]
[null,null,null,null,null,{"$f":"IF(OR(C10=\"\",C14=\"\",C16=\"\"),\"\",SQRT(C10^2+G22^2-(2*C10*G22*COS(I22*PI()/180))))","v":749.90900000832255},{"$f":"IF(OR(C10=\"\",C14=\"\",C16=\"\"),\"\",SIN(C16*PI()/180)*C10/SIN(C14*PI()/180))","v":860.9970859682569},null,{"$f":"IF(OR(C10=\"\",C14=\"\",C16=\"\"),\"\",180-C14-C16)","v":59.365815609999999}]
[null,null,null,null,null,{"$f":"IF(OR(C10=\"\",C14=\"\",C16=\"\"),\"\",SQRT(C10^2+G22^2-(2*C10*G22*COS(I22*PI()/180))))","v":749.90900000832255},{"$f":"IF(OR(C10=\"\",C14=\"\",C16=\"\"),\"\",SQRT(C10^2+F23^2-(2*C10*F23*COS(C16*PI()/180))))","v":860.9970859682569},{"$f":"IF(OR(C10=\"\",C15=\"\",C16=\"\"),\"\",180-C15-C16)","v":21.711869000000007}]
[null,null,null,null,null,null,{"$f":"IF(OR(C10=\"\",C11=\"\",C14=\"\"),\"\",SQRT(C10^2+C11^2-(2*C10*C11*COS(J24*PI()/180))))","v":860.99708596572373},null,{"$f":"IF(OR(C10=\"\",C11=\"\",C14=\"\"),\"\",DEGREES(ASIN(SIN(C14*PI()/180)*C11/C10)))","v":59.365815608926255},{"$f":"IF(OR(C10=\"\",C11=\"\",C14=\"\"),\"\",180-C14-I24)","v":98.922315391073738}]
[null,null,null,null,null,null,{"$f":"IF(OR(C10=\"\",C11=\"\",C15=\"\"),\"\",SQRT(C10^2+C11^2-(2*C10*C11*COS(J25*PI()/180))))","v":860.99708595929883},{"$f":"IF(OR(C10=\"\",C11=\"\",C15=\"\"),\"\",DEGREES(ASIN(SIN(C15*PI()/180)*C10/C11)))","v":21.711869000253198},null,{"$f":"IF(OR(C10=\"\",C11=\"\",C15=\"\"),\"\",180-H25-C15)","v":98.922315389746814}]
[null,null,null,null,null,null,{"$f":"IF(OR(C10=\"\",C11=\"\",C16=\"\"),\"\",SQRT(C10^2+C11^2-(2*C10*C11*COS(C16*PI()/180))))","v":860.99708596052471},{"$f":"IF(OR(C10=\"\",C11=\"\",C16=\"\"),\"\",DEGREES(ACOS((C11^2+G26^2-C10^2)/2/C11/G26)))","v":21.711869000204914},{"$f":"IF(OR(C10=\"\",C11=\"\",C16=\"\"),\"\",180-H26-C16)","v":59.365815609795106}]
[null,null,null,null,null,null,null,{"$f":"IF(OR(C10=\"\",C11=\"\",C12=\"\"),\"\",DEGREES(ACOS((C11^2+C12^2-C10^2)/2/C11/C12)))","v":21.711868446927248},{"$f":"IF(OR(C10=\"\",C11=\"\",C12=\"\"),\"\",DEGREES(ACOS((C10^2+C12^2-C11^2)/2/C10/C12)))","v":59.3658132634963},{"$f":"IF(OR(C10=\"\",C11=\"\",C12=\"\"),\"\",180-H27-I27)","v":98.922318289576452}]
[null,null,null,null,{"$f":"IF(OR(C12=\"\",C15=\"\",C16=\"\"),\"\",SIN(H28*PI()/180)*C12/SIN(C16*PI()/180))","v":322.41800525447388},{"$f":"IF(OR(C12=\"\",C15=\"\",C16=\"\"),\"\",SQRT(E28^2+C12^2-(2*E28*C12*COS(C15*PI()/180))))","v":749.90901222965351},null,{"$f":"IF(OR(C12=\"\",C15=\"\",C16=\"\"),\"\",180-C15-C16)","v":21.711869000000007}]
[]
[]
[]
[]
[null,null,null,null,"Degree Converter"]
[null,null,null,null,"Degrees entered as a decimal will be converted to Deg, Min, Sec"]
[null,null,null,null,{"$f":"IF(G35=\"\",\"\",+G35)","v":6},"Degrees",6,{"$f":"IF(G35+G36+G37=\"\",\"\",TRUNC(E35))","v":6},"Degrees"]
[null,"B",null,null,{"$f":"IF(G36=\"\",\"\",G36/60)","v":0.41666666666666669},"Minutes",25,{"$f":"IF(G35+G36+G37=\"\",\"\",TRUNC((E38-H35)*60))","v":25},"Minutes"]
[null,null,null,null,{"$f":"IF(G37=\"\",\"\",G37/3600)","v":8.3333333333333339E-4},"Seconds",3,{"$f":"IF(G35+G36+G37=\"\",\"\",((E38-H35)*60-H36)*60)","v":3.0000000000015348},"Seconds"]
[null,null,null,"c",{"$f":"IF(G35+G36+G37=\"\",\"\",SUM(E35+E36+E37))","v":6.4175000000000004}," Angle as a decimal"]
[null,"a  ",null,null,null,"NOTE: ","Figure out the shape of triangle because"]
[null,null,null,null,null,null,"in arc sine, no values greater than"]
[null,null,null,null,"A",null,"90 degrees."]
[null,null,"C","b",null,null,"180 - the value"]

{"sheet":"compass rule or bowditch method","index":34,"n_rows":36,"n_cols":61,"rows_kept":36,"cut":false,"hidden":false,"merged":[[34,13,34,15],[34,21,34,23],[35,11,35,13],[35,21,35,23],[30,21,30,23],[31,21,31,23],[32,0,32,4],[33,10,33,13],[33,21,33,23],[26,21,26,23],[27,21,27,23],[28,21,28,23],[29,21,29,23],[22,21,22,23],[23,21,23,23],[24,21,24,23],[25,21,25,23],[18,21,18,23],[19,21,19,23],[20,21,20,23],[21,21,21,23],[14,21,14,23],[15,21,15,23],[16,21,16,23],[17,21,17,23],[10,24,10,25],[11,21,11,23],[12,21,12,23],[13,21,13,23],[10,13,10,15],[10,16,10,17],[10,18,10,19],[10,20,10,23],[10,1,10,3],[10,5,11,5],[10,6,11,6],[10,9,10,11],[3,13,3,15],[3,21,3,23],[5,13,5,15],[5,20,5,24],[1,13,1,17],[1,21,1,25],[2,13,2,15],[2,21,2,23]]}
["Back to Introduction"]
["Bowditch Traverse Computation (Compass Rule)",null,null,null,null,null,null,null,null,null,null,null,null,"Start Station Co-ordinates:",null,null,null,null,null,null,null,"Closing Station Co-ordinates:",null,"Closing Station Co-ordinates",null,null,null,null,null,null,null,"All Angles must be Clockwise & External",null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"All angle must be Clockwise"]
[null,null,null,null,null,null,null,null,null,null,null,null,null,"Station No",null,null,"Easting (m)","Northing (m)",null,null,null,"Station",null,null,"Easting (m)","Northing (m)",null,null,null,null,null,null,null,null,null,"2nd Forward"]
[null,null,null,null,null,null,null,null,null,null,null,null,null,1,null,null,100,200,null,null,null,4,null,null,200,200,null,null,null,null,null,null,null,null,null,"Distance",null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"2nd Station"]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"2nd HA",null,null,null,null,null,null,"Closed Traverse Example",null,null,null,null,null,null,null,null,null,null,null,null,null,"2nd HA",null,null,"Loop Traverse Example"]
[null,null,null,null,null,null,null,null,null,null,null,null,null,"Back Azimuth:",null,null,null,null,null,null,"Forward Azimuth:"]
["Enter Station ID, Hz Angle and Forward Distances",null,null,null,null,null,null,null,null,null,null,null,null,"Deg","Min","Sec","Degrees",null,null,null,null,"Deg","Min","Sec","Degrees"]
["Do not enter Forward Distance from final Fixed point",null,null,null,null,null,null,null,null,null,null,null,null,90,0,0,{"$f":"IF(N8<>\"\",N8+O8/60+P8/3600,\"\")","v":90},null,null,null,null,270,0,0,{"$f":"IF(V8<>\"\",V8+W8/60+X8/3600,\"\")","v":270},null,null,null,null,null,null,null,"1st",null,"2nd Station",null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"        1st Forward"]
["Refer to Sketches on the right side for further details",null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"Forward",null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"        Distance"]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"Station",null,null,null,"Distance",null,null,null,null,null,null,null,null,null,"Station (N-1)"]
["Station","Measured HA",null,null,"Forward","HA Degrees","Meas Fwd","Adj","Adjusted","Adjusted HA",null,null,"Adj Fwd","Fwd Azimuth",null,null,"Differences",null,"Station Co-ordinates",null,"Adjustment",null,null,null,"Station Co-ordinates",null,"Station",null,"1=Yes",null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"2nd Forward"]
["No","Deg","Min","Sec","HzDist (m)",null,"Bearing","Sec","HA Degrees","Deg","Min","Sec","Brg Deg","Deg","Min","Sec","Easting (m)","Northing (m)","Easting","Northing","Easting (m)","Northing (m)",null,null,"Easting (m)","Northing (m)","No",null,"0=No",null,null,null,null,null,null,null,null,null,null,null,null,null,null,"(N-1) HA         ",null,null,null,null,"Back Azimuth",null,null,null,null,null,null,"     Distance",null,"Final (N) HA"]
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[null,null,null,null,null,"",269.99500000000012,"","","","","","","","","","","",200.00847207950579,200.005839524788,"","",null,null,"","","",null,0,null,null,"Bowditch Traverse Computation"]
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[null,null,null,null,null,"",269.99500000000012,"","","","","","","","","","","",200.00847207950579,200.005839524788,"","",null,null,"","","",null,0]
[null,null,null,null,null,"",269.99500000000012,"","","","","","","","","","","",200.00847207950579,200.005839524788,"","",null,null,"","","",null,0]
[null,null,null,null,null,"",269.99500000000012,"","","","","","","","","","","",200.00847207950579,200.005839524788,"","",null,null,"","","",null,0]
[null,null,null,null,null,"",269.99500000000012,"","","","","","","","","","","",200.00847207950579,200.005839524788,"","",null,null,"","","",null,0]
[null,null,null,null,null,"",269.99500000000012,"","","","","","","","","","","",200.00847207950579,200.005839524788,"","",null,null,{"$f":"IF(U31<>\"\",Y30+Q31+U31,\"\")","v":""},{"$f":"IF(V31<>\"\",Z30+R31+V31,\"\")","v":""},"",null,0]
[null,null,null,null,null,"",269.99500000000012,"","","","","","","","","","","",200.00847207950579,200.005839524788,"","",null,null,{"$f":"IF(U32<>\"\",Y31+Q32+U32,\"\")","v":""},{"$f":"IF(V32<>\"\",Z31+R32+V32,\"\")","v":""},null,null,0]
["ONLY ENTER DATA IN WHITE CELLS"]
["Total No",null,null,null,"Total","Measured","Measured","Misc:","Adjusted",null,"Accuracy Ratio",null,null,null,null,null,"Total Diff:","Total Diff:",null,null,"Misclosure:","Misclosure:",null,null,"Linear Error",null,null,null,{"$f":"SUM(AC13:AC32)","v":4}]
["Stations:",null,null,null,"Distance:","Total Angle:","Fwd Bearing","Sec","Total Angle:",null,null,null,null,null,null,null,"Easting","Northing",null,null,"Easting","Northing",null,null,"Closure"]
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["Back to Introduction"]
["Compass Adjustment Program",null,null,null,"Compass Rules"]
[null,null,"Azimuth",null,null,null,null,null,null,null,null,null,null,null,null,"Adjusted","Adjusted"]
[null,null,null,null,null,null,null,"Corrections to",null,"Corrected","Corrected",null,null,null,"Adjusted","Azimuth","Azimuth",null,null,null,"Area Calculations"]
["Sta","Dist","Deg","Min","Sec","Latitude","Departure","Latitude","Departure","Latitude","Departure","Northing","Easting","Sta","Distance","DD.DDDD","Deg","Min","Sec",null,"DMD","2A",null,"Coordinates"]
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[2,null,null,null,null,null,null,null,null,null,null,{"$f":"L6+J7","v":5853.0274487287516},{"$f":"M6+K7","v":4253.8723365473952},2,null,null,null,null,null,null,null,null,null,{"$f":"L8","v":5853.0274487287516},4253.8723365473952,{"$f":"(X6*Y8)-(X8*Y6)","v":-172748.24958368763}]
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[3,null,null,null,null,null,null,null,null,null,null,{"$f":"L8+J9","v":5573.0281784035524},{"$f":"M8+K9","v":4504.3524724974995},3,null,null,null,null,null,null,null,null,null,5573.0281784035524,4504.3524724974995,{"$f":"(X8*Y10)-(X10*Y8)","v":2657148.26136709}]
[null,354.37400000000002,58,13,55.1,186.57133944939136,301.28403072858009,2.6547131870040295E-2,2.6697200189799201E-2,{"$f":"F11+H11","v":186.59788658126141},{"$f":"G11+I11","v":301.31072792876989},null,null,null,354.41067427711386,{"$f":"IF(AND(J11>0,K11>0),DEGREES(ATAN(K11/J11)),IF(AND(J11>0,K11<0),360+(DEGREES(ATAN(K11/J11))),180+(DEGREES(ATAN(K11/J11)))))","v":58.230595736760442},58,13,50.144652337591509,null,{"$f":"U9+K9+K11","v":190.96167292376893},35633.044585597374]
[4,null,null,null,null,null,null,null,null,null,null,{"$f":"L10+J11","v":5759.6260649848136},{"$f":"M10+K11","v":4805.6632004262692},4,null,null,null,null,null,null,null,null,null,5759.6260649848136,4805.6632004262692,838710.52541720867]
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[]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"`"]
[]
[]
[]
[]
[]
[]
[]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"Double Area",{"$f":"ABS(SUM(V7:V25))","v":385770.28428161092},null,"Double Area",null,{"$f":"ABS(SUM(Z8:Z25))","v":385770.28428160772}]
["Sum",{"$f":"SUM(B7:B26)","v":1755.4470000000001},null,null,null,{"$f":"ABS(SUM(F7:F26))","v":0.13150536721053641},{"$f":"SUM(G7:G26)","v":-0.13224875408913306},{"$f":"SUM(H7:H26)","v":0.13150536721053638},{"$f":"SUM(I7:I26)","v":0.13224875408913306},{"$f":"SUM(J7:J26)","v":0},{"$f":"SUM(K7:K26)","v":0},null,null,null,null,null,null,null,null,null,"Area",{"$f":"V26/2","v":192885.14214080546},null,"Area",null,{"$f":"Z26/2","v":192885.14214080386}]
[]
[]
["Linear Error =",null,{"$f":"SQRT(F27^2+G27^2)","v":0.18650306850908918}]
[]
[]
[null,"Accuracy Ratio"]
[null,"1/",{"$f":"B27/C30","v":9412.4295864571723}]
[]
[null,null,null,null,null,null,null,"Data Input"]

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["Back to Introduction"]
[]
[]
[null,null,null,null,null,null,null,"Bearing (Degrees)","Distance",null,"TP1 = Beginning of Curve"]
[null,null,null,null,null,null,"TP1-TP2",{"$f":"DEGREES(ATAN2(C16-C15,D16-D15))+IF(D16-D15<0,360,)","v":249.45843197114738},{"$f":"SQRT((C16-C15)^2+(D16-D15)^2)","v":1434.094805711585},null,"TP2 = End of Curve"]
[null,null,null,null,null,null,"RP-TP1",{"$f":"IF(C17>0,DEGREES(ATAN2(C15-H19,D15-I19))+IF(D15<I19,360),DEGREES(ATAN2(C15-H19,D15-I19))+IF(D15<I19,360))","v":25.269675475484767},"d/2"]
[null,null,null,null,null,null,"RP-TP2",{"$f":"DEGREES(ATAN2(C16-H19,D16-I19))+IF(D16<I19,360)","v":293.64718846681308},{"$f":"I5/2","v":717.04740285579248}]
[]
[null,null,null,null,null,null,null,"Angle (Degrees)"]
[null,null,null,null,null,null,"TP2-TP1-RP",{"$f":"DEGREES(ACOS(I7/ABS(C17)))","v":44.188756495657202}]
[null,null,null,null,null,null,"TP1-RP-TP2",{"$f":"IF(C17<0,(H6-H7)+IF(H7>H6,360),(H7-H6)+IF(H6>H7,360))","v":91.622487008671669}]
[]
[null,null,null,null,"Data Input",null,"Total Arc (m)",{"$f":"2*PI()*ABS(C17)*(H11/360)","v":1599.1140671670507}]
[null,null,"Northing (m)","Easting (m)"]
[null,"TP1 ",2921450.5819999999,433951.19199999998,null,null,"Angle per Chain",{"$f":"C21/H13*H11","v":5.729577951308233}]
[null,"TP2",2920947.3769999999,432608.28]
[null,"Radius",-1000,null,null,null,"Whole Circle (m)",{"$f":"ABS(2*PI()*C17)","v":6283.1853071795858}]
[null,null,null,null,null,null,null,"Northing","Easting"]
[null,"Stationing at TP1",null,3,null,null,"Centre",{"$f":"IF(C17<0,COS((H5-H10)*PI()/180)*ABS(C17)+C15,COS((H10+H5)*PI()/180)*C17+C15)","v":2920546.2733923569},{"$f":"IF(C17<0,SIN((H5-H10)*PI()/180)*ABS(C17)+D15,SIN((H10+H5)*PI()/180)*C17+D15)","v":433524.31269370479}]
[null,null,null,null,null,null,"Stationing at TP2",null,{"$f":"D19+H13","v":1602.1140671670507}]
["Chain Interval",null,100]
[null,"Offset",200,null,null,null,null,"If the curve is going to the left from TP1, Enter the radius as (-) negative value"]
[null,null,null,null,null,null,null,"example: Radius = -1000"]
[null,null,null,"Centre-Line",null,"External",null,"Internal"]
[null,"No","CL Chainage","Northing (m)","Easting (m)","Northing (m)","Easting (m)","Northing (m)","Easting (m)"]
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[null,"","",{"$f":"IF($C$17>0,IF(B219<>\"\",COS(((C219-$D$19)/$C$17)+$H$6*PI()/180)*$C$17+$H$19,\"\"),IF(B219<>\"\",COS(-((C219-$D$19)/ABS($C$17))+$H$6*PI()/180)*ABS($C$17)+$H$19,\"\"))","v":""},{"$f":"IF($C$17>0,IF(B219<>\"\",SIN(((C219-$D$19)/$C$17)+$H$6*PI()/180)*$C$17+$I$19,\"\"),IF(B219<>\"\",SIN(-((C219-$D$19)/ABS($C$17))+$H$6*PI()/180)*ABS($C$17)+$I$19,\"\"))","v":""},{"$f":"IF($C$17>0,IF(B219<>\"\",COS(((C219-$D$19)/$C$17)+$H$6*PI()/180)*($C$17+$C$22)+$H$19,\"\"),IF(B219<>\"\",COS(-((C219-$D$19)/ABS($C$17))+$H$6*PI()/180)*(ABS($C$17)+$C$22)+$H$19,\"\"))","v":""},{"$f":"IF($C$17>0,IF(B219<>\"\",SIN(((C219-$D$19)/$C$17)+$H$6*PI()/180)*($C$17+$C$22)+$I$19,\"\"),IF(B219<>\"\",SIN(-((C219-$D$19)/ABS($C$17))+$H$6*PI()/180)*(ABS($C$17)+$C$22)+$I$19,\"\"))","v":""},{"$f":"IF($C$17>0,IF(B219<>\"\",COS(((C219-$D$19)/$C$17)+$H$6*PI()/180)*($C$17-$C$22)+$H$19,\"\"),IF(B219<>\"\",COS(-((C219-$D$19)/ABS($C$17))+$H$6*PI()/180)*(ABS($C$17)-$C$22)+$H$19,\"\"))","v":""},{"$f":"IF($C$17>0,IF(B219<>\"\",SIN(((C219-$D$19)/$C$17)+$H$6*PI()/180)*($C$17-$C$22)+$I$19,\"\"),IF(B219<>\"\",SIN(-((C219-$D$19)/ABS($C$17))+$H$6*PI()/180)*(ABS($C$17)-$C$22)+$I$19,\"\"))","v":""}]
[null,{"$f":"IF(C220<>\"\",B219+1,\"\")","v":""},"","","","","","",""]
[null,"",{"$f":"IF(C220<>\"\",IF(C220+$C$21<$H$13+$D$19-0.0009,C220+$C$21,IF(C220<>$H$13+$D$19,$H$13+$D$19,\"\")),\"\")","v":""},"","","","","",""]
[null,"","","","","","","",""]
[null,"","","","","","","",""]
[null,"","","","","","","",""]
[null,"","","","","","","",""]
[null,"","","","","","","",""]
[null,"","","","","","","",""]
[null,"","","","","","","",""]
[null,"","","","","","","",""]
[null,"","","","","","","",""]
[null,"","","","","","","",""]

{"sheet":"super elevation","index":37,"n_rows":57,"n_cols":33,"rows_kept":57,"cut":false,"hidden":false,"merged":[[6,32,6,38],[7,0,7,12],[8,2,8,9],[9,18,9,24],[14,21,14,22],[11,8,11,12],[11,20,11,21],[12,8,12,12],[13,8,13,12]]}
["Back to Introduction"]
[]
[]
[]
[]
[]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"To us instructions"]
["Calculate Super Elevation For Any Dc And Maximum e%"]
[null,null,"Standard Data Values -English"]
[null,null,null,null,null,null,null,"Super Trans",null,null,null,null,null,null,null,null,null,null,"Maximum Slope for Transitions"]
[null,"GIVEN",null,null,"Des Speed","Running Sp","f max","Gradient, %",null," "]
[null,"Design Speed",40,null,20,20,0.17,0.75," ",null,null,null,null,null,null,null,null,null,null,null,"English"]
[null,"Running Speed",{"$f":"4.976+0.77065*C12","v":35.802},"From Regress",30,28,0.16,0.67," "]
[null,"f max",{"$f":"0.202355-0.00139*C12","v":0.14675500000000002},"From Regress",40,36,0.15,0.57999999999999996," "]
[null,"e max",0.06,null,50,44,0.14000000000000001,0.5,null,null,null,null,null,null,null,null,null,"fmax","Speed","Slope%","Calc","Regression Equation",null,"RS"]
[null,"CALCULATE",null,null,55,48,0.13,0.47,null,null,null,null,null,null,null,null,null,0.17,20,0.75,{"$f":"0.87998-0.00716*S16","v":0.73677999999999999},"m","b",20]
[null,"Radius Min",{"$f":"C12^2/(15*(C14+C15))","v":515.90852297002084},null,60,52,0.12,0.45,null,null,null,null,null,null,null,null,null,0.16,30,0.67,{"$f":"0.87998-0.00716*S17","v":0.66517999999999999},{"$f":"LINEST(T16:T22,S16:S22)","v":-7.1638225255972699E-3},0.87998293515358361,28]
[null,"Deg Curve max",{"$f":"5729.578/C17","v":11.105802181781252},null,65,55,0.11,0.41,null,null,null,null,null,null,null,null,null,0.15,40,0.57999999999999996,0.59358,null,null,36]
[null,"Radius Min (RS)",{"$f":"C13^2/(15*(C15))","v":1424.2035600000002},null,70,58,0.1,0.4,null,null,null,null,null,null,null,null,null,0.14000000000000001,50,0.5,0.52198,{"$f":"LINEST(R16:R22,S16:S22)","v":-1.3924914675767918E-3},0.20235494880546073,44]
[null,"Deg Cur (DCRS)",{"$f":"5729.578/C19","v":4.0230049698794463},null,null,null,null,null,null,null,null,null,null,null,null,null,null,0.12,60,0.45,0.45038,null,null,52]
[null,"Deg Cur (ACT)",8,"Less then Deg Cur max",null,null,null,null,null,null,null,null,null,null,null,null,null,0.11,65,0.41,0.41458,{"$f":"LINEST(X16:X22,S16:S22)","v":0.77064846416382271},4.9761092150170541,55]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0.1,70,0.4,0.37878000000000001,null,null,58]
[null,"CALC eact",null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null," "]
[null,"offsetRS",{"$f":"($C$15-$C$15*$C$20/$C$18)/2","v":1.9132694143033438E-2}]
[null,"eact DC>DCRS",{"$f":"IF(C21>=C20,C15-(C24*(C18-C21)^2/(C18-C20)^2),0)","v":5.6321132935014388E-2}]
[null,null,null,null,null," "]
[null,"eact DC<DCRS",{"$f":"IF(C21<=C20,(C15*C21/C20-C24*(C21^2/C20^2)),0)","v":0}," ",null,null,null,null,null,null,null,null,null,null,null,"EactDC<"]
[]
[null,"CALC Len TR"]
[null,"Pavement width",12,"Given"]
[null,"Cross slope",0.02,"Given"]
[null,"Trans Grad",{"$f":"0.87998-0.00716*C12","v":0.59358},"From Regression"]
[]
[null,"Super runoff",{"$f":"C30*C25*100/C32","v":113.8605740119567},{"$f":"$C30*$C27*100/$C32","v":0}," ",null,null," "]
[null,"Tangent runout",{"$f":"C31*C30*100/C32","v":40.432629131709291},{"$f":"C31*C30*100/C32","v":40.432629131709291}," "]
[null,"Total Trans",{"$f":"IF(C34>0,SUM(C34:C35),0)","v":154.29320314366601},{"$f":"IF(D34>0,SUM(D34:D35),0)","v":0},"Use Larger"]
[]
[null,"Note: Minimum transitions are not shown"]
[]
[]
[]
[]
[]
[]
[]
[null,"CALC Stations"]
[null,"PC STA",1000,1000]
[null,"PT Sta",2000,2000]
[null,"Entering Trans"]
[null,"Beginning Runout",{"$f":"IF(C34>0,C47-0.67*C34-C35,0)","v":883.2807862802797},{"$f":"IF(D34>0,D47-0.67*D34-D35,0)","v":0},{"$f":"C31","v":0.02},"Cross Slope"]
[null,"Beginning Runoff",{"$f":"IF(C50>0,C50+C35,0)","v":923.71341541198899},{"$f":"IF(D50>0,D50+D35,0)","v":0},null,"Flat Outside Lane"]
[null,"End Runoff",{"$f":"C50+C36","v":1037.5739894239457},{"$f":"D50+D36","v":0},{"$f":"IF(C25>0,C25,C27)","v":5.6321132935014388E-2},"Full Super"]
[]
[null,"Exit Trans"]
[null,"Beginning Runoff",{"$f":"IF(C50>0,C48-0.33*C34,0)","v":1962.4260105760543},{"$f":"IF(D50>0,D48-0.33*D34,0)","v":0},{"$f":"E52","v":5.6321132935014388E-2},"Full Super"]
[null,"End Runoff",{"$f":"C55+C34","v":2076.286584588011},{"$f":"IF(D50>0,D55+D34,0)","v":0},null,"Flat Out Side Lane"]
[null,"End Rouout",{"$f":"C55+C36","v":2116.7192137197203},{"$f":"IF(D50>0,D56+D35,0)","v":0},{"$f":"E50","v":0.02},"Cross Slope"]

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["Back to Introduction"]
[]
[null,"L.S. =",275]
[null,"Dc (dec.) =",10,null,"NOTE: DO NOT EDIT HIGHLIGHTED BOLD ENTRIES"]
[null,"Rc =",{"$f":"(5729.578/C4)","v":572.95780000000002}]
[null,"Theta s =",{"$f":"(C3*C4)/200","v":13.75},null,"Theta s (radians) =",null,{"$f":"(C6*(PI()/180))","v":0.23998277214922031}]
[null,"Xs =",{"$f":"(C3*(1-((G6^2)/10)+((G6^4)/216)))","v":273.42045018675822}]
[null,"Ys=",{"$f":"(C3*((G6/3)-(G6^3)/42))","v":21.907925985314343},null,"Pavement Width (feet) =",null,25]
[null,"Long Ch.=",{"$f":"SQRT((C7*C7)+(C8*C8))","v":274.29673676751526},null,"Number of lanes =",null,2]
[null,"Short tan.=",{"$f":"(C8/SIN(G6))","v":92.171755634745011},null,"Individual lane width =",null,{"$f":"(G8/G9)","v":12.5}]
[null,"Long tan.=",{"$f":"(C7-(C10*(COS(G6))))","v":183.89014629018286},null,"Offset from E.P. =",null,3]
[null,"Sta. T.S.=",500,null,"Total Offset from  C/L =",null,{"$f":"G10+G11","v":15.5}]
[null,"Sta. S.C.=",{"$f":"(C12+C3)","v":775}]
[null,null,null,null,"The deflection (Phi) angle is from a line parallel with centerline tangent and at the same offset distance from centerline as the stakes to be set."]
[]
[]
[]
["STATION","L","Q","Ø","Phi, deg.","min.","sec.","x","y","Chord Length",null,null,"Chord Length"]
[null,null,"Decimal Deg.","Decimal Deg.",null,null,null,null,null,"Centerline","Curve Increment.","Diff. Increment.","Inside","Outside"]
[{"$f":"C12","v":500},0,{"$f":"((B20/$C$3)*(B20/$C$3))*$C$6","v":0},{"$f":"C20/3","v":0},{"$f":"TRUNC(D20)","v":0},{"$f":"TRUNC((D20-E20)*60)","v":0},{"$f":"ROUND((((D20-E20)*60)-F20)*60,0)","v":0},{"$f":"(B20*(1-((C20*(PI()/180)*(C20*PI()/180))/10)))","v":0},{"$f":"(B20*(C20*(PI()/180)/3))","v":0},{"$f":"SQRT(((H20-H19)*(H20-H19))+((I20-I19)*(I20-I19)))","v":0},{"$f":"PI()/180*(C20*$G$12*((B20/$C$3)^2))","v":0}]
[525,{"$f":"A21-A20","v":25},0.11363636363636365,3.787878787878788E-2,0,2,16,24.999990166018215,1.6527739128734183E-2,24.999995629342983,{"$f":"(PI()/180)*($C$6*$G$12*((B21/$C$3)^2))","v":3.0741594779445578E-2},{"$f":"K21-K20","v":3.0741594779445578E-2},{"$f":"J21-L21","v":24.969254034563537},{"$f":"J21+L21","v":25.030737224122429}]
[{"$f":"IF(A21+25<=$C$13,A21+25,$C$13)","v":550},{"$f":"A22-A20","v":50},0.45454545454545459,0.15151515151515152,0,9,5,49.999685312582862,0.13222191302987346,24.999962851233253,0.12296637911778231,9.2224784338336738E-2,24.907738066894915,25.092187635571591]
[{"$f":"IF(A22+25<=$C$13,A22+25,$C$13)","v":575},{"$f":"B22+A23-A22","v":75},1.0227272727272725,0.34090909090909083,0,20,27,74.997610342426128,0.4462489564758228,24.999897375422961,0.27667435301501014,0.15370797389722785,24.846189401525734,25.153605349320188]
[600,100,1.8181818181818183,0.60606060606060608,0,36,22,99.98993000265169,1.0577753042389877,24.999800128659142,0.49186551647112925,0.21519116345611911,24.784608965203024,25.214991292115261]
[625,125,2.8409090909090908,0.94696969696969691,0,56,49,124.96926880692041,2.0659673910917724,24.999676365553967,0.76853986948613939,0.27667435301501014,24.723002012538956,25.276350718568978]
[650,150,4.0909090909090899,1.3636363636363633,1,21,49,149.92353095763619,3.5699916518065824,24.99954576514271,1.1066974120600406,0.33815754257390118,24.66138822256881,25.337703307716609]
[675,175,5.5681818181818183,1.8560606060606062,1,51,22,174.8347202681316,5.669014521155824,24.999464991663164,1.5063381441928332,0.39964073213279261,24.599824259530372,25.399105723795955]
[700,200,7.2727272727272734,2.4242424242424243,2,25,27,199.67776008485373,8.4622024339119015,24.999570517335044,1.967462065884517,0.46112392169168381,24.538446595643361,25.460694439026728]
[725,225,9.2045454545454568,3.0681818181818188,3,4,5,224.41931320954981,12.048721824847222,25.000151446815547,2.490069177135092,0.52260711125057502,24.477544335564971,25.522758558066123]
[750,250,11.363636363636363,3.7878787878787876,3,47,16,249.01660182145301,16.527739128734179,25.001763999081774,3.0741594779445576,0.58409030080946556,24.41767369827231,25.585854299891238]
[775,275,13.75,4.583333333333333,4,35,0,273.41622739946831,21.998420780345196,25.00540113816637,3.7197329683129148,0.64557349036835721,24.359827647798014,25.650974628534726]
[775,275,13.75,4.583333333333333,4,35,0,273.41622739946831,21.998420780345196,0,3.7197329683129148,0,0,0]
[775,275,13.75,4.583333333333333,4,35,0,273.41622739946831,21.998420780345196,0,3.7197329683129148,0,0,0]
[775,275,13.75,4.583333333333333,4,35,0,273.41622739946831,21.998420780345196,0,3.7197329683129148,0,0,0]
[775,275,13.75,4.583333333333333,4,35,0,273.41622739946831,21.998420780345196,0,3.7197329683129148,0,0,0]
[775,275,13.75,4.583333333333333,4,35,0,273.41622739946831,21.998420780345196,0,3.7197329683129148,0,0,0]
[775,275,13.75,4.583333333333333,4,35,0,273.41622739946831,21.998420780345196,0,3.7197329683129148,0,0,0]
[775,275,13.75,4.583333333333333,4,35,0,273.41622739946831,21.998420780345196,0,3.7197329683129148,0,0,0]
[775,275,13.75,4.583333333333333,4,35,0,273.41622739946831,21.998420780345196,0,3.7197329683129148,0,0,0]

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["Back to Introduction"]
["EMBANKMENT FILL QUANTITY COMPUTATION SHEET"]
[null,null,null,null,null,null,null,null,null,"V1.0"]
["SWCD:",null,"jlr665"]
["Field Office:"]
["Cooperator Name:"]
["Location:"]
["Program:",null,null,null,null,"Contract No.:"]
["Computations By:",null,null,null,null,"Date:"]
["Approved By:",null,null,null,null,"Date:"]
[]
["Embankment Planned Settled Top Elevation",null,null,90,"feet","Percent Settlement Allowance",null,null,0.05]
["Embankment Top Width",null,null,10,"feet"]
["Wet Side Slope of Embankment",null,null,3,":1","Core Trench Width",null,null,10,"feet"]
["Dry Side Slope of Embankment",null,null,3,":1","Core Trench Depth",null,null,1,"feet"]
[null,null,null,null,null,"Core Trench Side Slopes",null,null,3,":1"]
["Bench Mark Elevation",null,null,100,"feet","Core Trench Length",null,null,100,"feet"]
[]
["BM Description:"]
[]
[]
["Remarks:"]
[]
[]
[]
[null,null,"Embankment Fill Quantity ",null,null,null,{"$f":"E333","v":1481.4814814814818},null,"C.Y."]
[null,null,"Core Trench Excavation Quantity",null,null,null,{"$f":"(I14+(2*I16*I15))*I15*I17/27","v":59.25925925925926},null,"C.Y."]
[null,null,"Total Earthwork Quantity ",null,null,null,{"$f":"SUM(G26:H27)","v":1540.7407407407411},null,"C.Y."]
[]
[null,null,"Design Template (no settlement)",null,null,"With Settlement",null,"Distance from CL to Slope Stake"]
["Station","Ground Elevation","Fill Height (Ft.)","End Area (S.F.)","Volume (C.Y.)","Fill Height (Ft.)","Final Elevation","Wet Slope","Dry  Slope"]
[0,80,{"$f":"IF(B32=\"\",\"\",IF($D$12-B32<0,\"No Fill\",($D$12-B32)))","v":10},{"$f":"IF(C32=\"\",\"\",IF(C32=\"No Fill\",0,(0.5*$D$14*C32^2)+(0.5*$D$15*C32^2)+($D$13*C32)))","v":400},null,{"$f":"IF(B32=\"\",\"\",IF(C32=\"No Fill\",\"0\",IF($I$12=\"\",(ValueC21),(C32*($I$12+1)))))","v":10.5},{"$f":"IF(B32=\"\",\"\",IF(C32=\"ERROR\",\"ERROR\",F32+B32))","v":90.5},{"$f":"IF($B32=\"\",\"\",IF($C32=\"ERROR\",\"ERROR\",$D$13/2+($F32*$D$14)))","v":36.5},{"$f":"IF($B32=\"\",\"\",IF($C32=\"ERROR\",\"ERROR\",$D$13/2+($F32*$D$15)))","v":36.5}]
[10,80,10,400,{"$f":"IF(D33=\"\",\"\",IF(D32=\"\",0,((D32+D33)*(A33-A32))/54))","v":148.14814814814815},10.5,90.5,36.5,36.5]
[20,80,10,400,148.14814814814815,10.5,90.5,36.5,36.5]
[30,80,10,400,148.14814814814815,10.5,90.5,36.5,36.5]
[40,80,10,400,148.14814814814815,10.5,90.5,36.5,36.5]
[50,80,10,400,148.14814814814815,10.5,90.5,36.5,36.5]
[60,80,10,400,148.14814814814815,10.5,90.5,36.5,36.5]
[70,80,10,400,148.14814814814815,10.5,90.5,36.5,36.5]
[80,80,10,400,148.14814814814815,10.5,90.5,36.5,36.5]
[90,80,10,400,148.14814814814815,10.5,90.5,36.5,36.5]
[100,80,10,400,148.14814814814815,10.5,90.5,36.5,36.5]
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[null,null,"Total Fill Quant. (c.y.)",null,{"$f":"SUM(E32:E332)","v":1481.4814814814818}]
[]
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[]
["Elevations",null,0]
["Rod R.",null,0.05]
[null,null,0.1]
[null,null,0.15]
[null,null,0.2]
[null,null,0.3]
[null,null,0.5]

{"sheet":"spiral eastment","index":40,"n_rows":57,"n_cols":8,"rows_kept":57,"cut":false,"hidden":false,"merged":[[56,7,56,9]]}
["Back to Introduction"]
["SPIRAL EASEMENT CURVE CALCULATOR"]
["Based on the American Railway Engineering Association's"]
["Manual for Railway Engineering, Ch. 5, Pt. 3."]
[]
["Notation"]
["T.S.","Point of change from tangent to spiral"]
["S.C.","Point of change from spiral to curve"]
["P.C.","Point of start of circular curve"]
["Δ","Central angle of spiral"]
["A","Deflection angle off tangent from TS to SC"]
["Lc","Length of spiral chord from TS to SC"]
["Ls","Total Length of spiral from TS to SC"]
["o","Tangent Offset of PC"]
["R","Radius of circular curve"]
["x","Tangent distance from TS to any point on spiral"]
["xo","Tangent distance from TS to PC"]
["xs","Tangent distance from TS to SC"]
["y","Tangent offset to any point on spiral"]
["ys","Tangent offset of SC"]
[]
["Fundamental Properties of the Spiral"]
["• The degree of curve varies proportionately from 0° (tangent) to the degree of the circular curve along the length of the spiral. "]
["• The length of the spiral is exactly twice the length of the circular curve for the same central angle, D. "]
["• The tangent offset of any point on the spiral is approximately proportional to the cube of the distance along the spiral. "]
["• The tangent offset of the point of curve, PC, is twice the offset of the spiral's midpoint. "]
[]
["Curve Geometry"]
[null,null,"Circular Curve Radius, R =",42,"in."]
[null,null,"Spiral Easement Length, Ls =",24,"in."]
[]
["Spiral Easement Properties"]
[null,null,"Spiral Angle, D =",{"$f":"$D$30/(2*$D$29)*180/PI()","v":16.37022271802352},"deg."]
[null,null,"P.C. Distance from T.S., xo =",{"$f":"$D$30/2-$D$30^3/(240*$D$29^2)","v":11.96734693877551},"in."]
[null,null,"P.C. Offset from Tangent, o =",{"$f":"$D$30^2/(24*$D$29)","v":0.5714285714285714},"in."]
[null,null,"S.C. Distance from T.S., xs =",{"$f":"$D$30-$D$30^3/(40*$D$29^2)","v":23.804081632653062},"in."]
[null,null,"S.C. Offset from Tangent, ys =",{"$f":"$D$30^2/(6*$D$29)-$D$30^4/(336*$D$29^3)","v":2.2723865056226571},"in."]
[]
["Spiral Offsets from Tangent for"]
["Tenth-Points along the Spiral"]
[null,"Length","Length","Offset"]
[null,"Along","Along","From"]
["Tenth","Spiral,","Tangent,","Tangent,"]
["Point","L","x","y"]
[null,"(in.)","(in.)","(in.)"]
["T.S.",0,0,0]
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[2,{"$f":"B47+$D$30/10","v":4.8},{"$f":"B48-B48^3/(40*$D$29^2)","v":4.7984326530612247},{"$f":"B48^3/(6*$D$29*$D$30)-B48^5/(336*$D$29^3*$D$30)","v":1.8281449396084965E-2}]
[3,7.1999999999999993,7.1947102040816322,6.1681899208663037E-2]
[4,9.6,9.587461224489795,0.14614923781757602]
[5,12,11.975510204081633,0.28529779258642229]
[6,14.4,14.357681632653062,0.49267791753436074]
[7,16.8,16.732800000000001,0.78176000000000001]
[8,19.2,19.099689795918366,1.1659184673052896]
[9,21.599999999999998,21.457175510204081,1.6584157934194079]
["S.C.",23.999999999999996,23.804081632653059,2.2723865056226562]
[null,null,null,null,null,null,"Copyright © 2001 by Daniel N. O'Connor","http://www.mostgraveconcern.com/jgl/"]

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["Back to Introduction"]
[null,null,"one straight line"]
[null,null,"PI-start",null,"PI-end"]
[null,null,"northing","easting","northing","easting"]
[null,null,3413745.3991999999,707305.94960000005,3419047.3262,700469.9473]
[]
["original location coordinates",null,null,null,null,"shift for alignment",null,null,null,"grid dist. PI-start to PI-end"]
["pt.no","northing","easting","elevation",null,"pt.no","northing","easting","elevation"]
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["Back to Introduction",null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"User's Input",null,null,null,null,null,null,null,null,null,null,null,"only working if DD-MM-SS format"]
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{"sheet":"UTM projection map","index":44,"n_rows":1,"n_cols":1,"rows_kept":1,"cut":false,"hidden":false,"merged":[]}
["Back to Introduction"]

{"sheet":"Datum transformation parameters","index":45,"n_rows":258,"n_cols":10,"rows_kept":258,"cut":false,"hidden":false,"merged":[[1,0,1,3],[2,0,2,3],[3,0,3,3],[4,0,4,3],[35,0,35,3],[36,0,36,3],[5,0,5,3],[6,0,6,3],[7,0,7,3],[8,0,8,3]]}
["Back to Introduction"]
["Reference Ellipsoids"]
["and"]
["Geodetic Datum Transformation Parameters (Local to WGS-84)"]
["From"]
["NIMA 8350.2 4 July 1977"]
["and"]
["MADTRAN 1 October 1996"]
["Reference Ellipsoids"]
["Ellipsoid","Semi-major axis (a)","Semi-minor axis (b)","1/flattening"]
["Airy 1830, ",6377563.3959999997,6356256.9092372851,299.32496459999999]
["Modified Airy",6377340.1890000002,6356034.4479385344,299.32496459999999]
["Australian National ",6378160,6356774.7191953054,298.25]
["Bessel 1841 (Namibia) ",6377483.8650000002,6356165.3829663256,299.15281279999999]
["Bessel 1841",6377397.1550000003,6356078.9628181886,299.15281279999999]
["Clarke 1866,",6378206.4000000004,6356583.7999989809,294.9786982]
["Clarke 1880,",6378249.1449999996,6356514.8695497755,293.46499999999997]
["Everest (India 1830)\" ",6377276.3449999997,6356075.4131402401,300.80169999999998]
["Everest (Sabah Sarawak) ",6377298.5559999999,6356097.5503008962,300.80169999999998]
["Everest (India 1956)",6377301.2429999998,6356100.2283681016,300.80169999999998]
["Everest (Malaysia 1969) ",6377295.6639999999,6356094.6679152036,300.80169999999998]
["Everest (Malay. & Sing) ",6377304.0630000001,6356103.0389931547,300.80169999999998]
["Everest (Pakistan)",6377309.6129999999,6356108.5705424603,300.80169999999998]
["Modified Fischer 1960",6378155,6356773.3204827355,298.3]
["Helmert 1906",6378200,6356818.1696278909,298.3]
["Hough 1960",6378270,6356794.3434343431,297]
["Indonesian 1974",6378160,6356774.5040855398,298.24700000000001]
["International 1924",6378388,6356911.9461279465,297]
["Krassovsky 1940",6378245,6356863.0187730473,298.3]
["GRS 80",6378137,6356752.3141403561,298.25722210100002]
["South American 1969",6378160,6356774.7191953054,298.25]
["WGS 72",6378135,6356750.5200160937,298.26]
["WGS 84",6378137,6356752.3142451793,298.25722356300003]
[]
[]
["Geodetic Datum Transformation Parameters (Local to WGS-84)"]
["d = delta in meters; e = error estimate in meters; #S = number of satellite measurement stations"]
[]
["Datum","  Ellipsoid","dX","dY","dZ","Region of use ","eX","eY","eZ ","#S"]
["Adindan","Clarke 1880",-118,-14,218,"Burkina Faso ",25,25,25,1]
["Adindan","Clarke 1880",-134,-2,210,"Cameroon ",25,25,25,1]
["Adindan","Clarke 1880",-165,-11,206,"Ethiopia ",3,3,3,8]
["Adindan","Clarke 1880",-123,-20,220,"Mali ",25,25,25,1]
["Adindan","Clarke 1880",-166,-15,204,"MEAN FOR Ethiopia; Sudan ",5,5,3,22]
["Adindan","Clarke 1880",-128,-18,224,"Senegal ",25,25,25,2]
["Adindan","Clarke 1880",-161,-14,205,"Sudan ",3,5,3,14]
["Afgooye","Krassovsky 1940",-43,-163,45,"Somalia",25,25,25,1]
["Ain el Abd 1970","International 1924 ",-150,-250,-1,"Bahrain",25,25,25,2]
["Ain el Abd 1970","International 1924 ",-143,-236,7,"Saudi Arabia",10,10,10,9]
["American Samoa 1962","Clarke 1866 ",-115,118,426,"American Samoa Islands",25,25,25,2]
["Anna 1 Astro 1965","Australian National ",-491,-22,435,"Cocos Islands",25,25,25,1]
["Antigua Island Astro 1943","Clarke 1880 ",-270,13,62,"Antigua (Leeward Islands)",25,25,25,1]
["Arc 1950","Clarke 1880",-138,-105,-289,"Botswana",3,5,3,9]
["Arc 1950","Clarke 1880",-153,-5,-292,"Burundi",20,20,20,3]
["Arc 1950","Clarke 1880",-125,-108,-295,"Lesotho",3,3,8,5]
["Arc 1950","Clarke 1880",-161,-73,-317,"Malawi",9,24,8,6]
["Arc 1950","Clarke 1880",-143,-90,-294,"MEAN FOR Botswana; Lesotho; Malawi; Swaziland; Zaire; Zambia; Zimbabwe ",20,33,20,41]
["Arc 1950","Clarke 1880",-134,-105,-295,"Swaziland",15,15,15,4]
["Arc 1950","Clarke 1880",-169,-19,-278,"Zaire",25,25,25,2]
["Arc 1950","Clarke 1880",-147,-74,-283,"Zambia",21,21,27,5]
["Arc 1950","Clarke 1880",-142,-96,-293,"Zimbabwe",5,8,11,10]
["Arc 1960","Clarke 1880",-160,-6,-302,"MEAN FOR Kenya; Tanzania",20,20,20,25]
["Arc 1960","Clarke 1880",-157,-2,-299,"Kenya",4,3,3,24]
["Arc 1960","Clarke 1880",-175,-23,-303,"Taanzania",6,9,10,12]
["Ascension Island 1958","International 1924 ",-205,107,53,"Ascension Island",25,25,25,2]
["Astro Beacon E 1945","International 1924 ",145,75,-272,"Iwo Jima",25,25,25,1]
["Astro DOS 71/4","International 1924 ",-320,550,-494,"St Helena Island",25,25,25,1]
["Astro Tern Island (FRIG) 1961","International 1924 ",114,-116,-333,"Tern Island",25,25,25,1]
["Astronomical Station 1952","International 1924 ",124,-234,-25,"Marcus Island",25,25,25,1]
["Australian Geodetic 1966","Australian National ",-133,-48,148,"Australia; Tasmania",3,3,3,105]
["Australian Geodetic 1984","Australian National ",-134,-48,149,"Australia; Tasmania",2,2,2,90]
["Ayabelle Lighthouse","Clarke 1880 ",-79,-129,145,"Djibouti",25,25,25,1]
["Bellevue (IGN)","International 1924 ",-127,-769,472,"Efate & Erromango Islands",20,20,20,3]
["Bermuda 1957","Clarke 1866",-73,213,296,"Bermuda",20,20,20,3]
["Bissau","International 1924 ",-173,253,27,"Guinea-Bissau",25,25,25,2]
["Bogota Observatory","International 1924 ",307,304,-318,"Colombia",6,5,6,7]
["Bukit Rimpah","Bessel 1841",-384,664,-48,"Indonesia (Bangka & Belitung Ids)",-1,-1,-1,0]
["Camp Area Astro","International 1924 ",-104,-129,239,"Antarctica (McMurdo Camp Area)",-1,-1,-1,0]
["Campo Inchauspe","International 1924 ",-148,136,90,"Argentina",5,5,5,20]
["Canton Astro 1966","International 1924 ",298,-304,-375,"Phoenix Islands",15,15,15,4]
["Cape","Clarke 1880",-136,-108,-292,"South Africa ",3,6,6,5]
["Cape Canaveral","Clarke 1866 ",-2,151,181,"Bahamas; Florida",3,3,3,19]
["Carthage","Clarke 1880",-263,6,431,"Tunisia",6,9,8,5]
["Chatham Island Astro 1971","International 1924 ",175,-38,113,"New Zealand (Chatham Island)",15,15,15,4]
["Chua Astro","International 1924 ",-134,229,-29,"Paraguay",6,9,5,6]
["Corrego Alegre","International 1924 ",-206,172,-6,"Brazil",5,3,5,17]
["Dabola","Clarke 1880",-83,37,124,"Guinea ",15,15,15,4]
["Deception Island","Clarke 1880 ",260,12,-147,"Deception Island; Antarctia",20,20,20,3]
["Djakarta (Batavia)","Bessel 1841 ",-377,681,-50,"Indonesia (Sumatra)",3,3,3,5]
["DOS 1968","International 1924 ",230,-199,-752,"New Georgia Islands (Gizo Island)",25,25,25,1]
["Easter Island 1967","International 1924 ",211,147,111,"Easter Island",25,25,25,1]
["Estonia; Coordinate System 1937","Bessel 1841 ",374,150,588,"Estonia",2,3,3,19]
["European 1950","International 1924 ",-104,-101,-140,"Cyprus",15,15,15,4]
["European 1950","International 1924 ",-130,-117,-151,"Egypt",6,8,8,14]
["European 1950","International 1924 ",-86,-96,-120,"England; Channel Islands; Scotland; Shetland Islands ",3,3,3,40]
["European 1950","International 1924 ",-86,-96,-120,"England; Ireland; Scotland; Shetland Islands ",3,3,3,47]
["European 1950","International 1924 ",-87,-95,-120,"Finland; Norway",3,5,3,20]
["European 1950","International 1924 ",-84,-95,-130,"Greece",25,25,25,2]
["European 1950","International 1924 ",-117,-132,-164,"Iran",9,12,11,27]
["European 1950","International 1924 ",-97,-103,-120,"Italy (Sardinia)",25,25,25,2]
["European 1950","International 1924 ",-97,-88,-135,"Italy (Sicily)",20,20,20,3]
["European 1950","International 1924 ",-107,-88,-149,"Malta",25,25,25,1]
["European 1950","International 1924 ",-87,-98,-121,"MEAN FOR Austria; Belgium; Denmark; Finland; France; W Germany; Gibraltar; Greece; Italy; Luxembourg; Netherlands; Norway; Portugal; Spain; Sweden; Switzerland ",3,8,5,85]
["European 1950","International 1924 ",-87,-96,-120,"MEAN FOR Austria; Denmark; France; W Germany; Netherlands; Switzerland ",3,3,3,52]
["European 1950","International 1924 ",-103,-106,-141,"MEAN FOR Iraq; Israel; Jordan; Lebanon; Kuwait; Saudi Arabia; Syria ",-1,-1,-1,0]
["European 1950","International 1924 ",-84,-107,-120,"Portugal; Spain",5,6,3,18]
["European 1950","International 1924 ",-112,-77,-145,"Tunisia",25,25,25,4]
["European 1979","International 1924 ",-86,-98,-119,"MEAN FOR Austria; Finland; Netherlands; Norway; Spain; Sweden; Switzerland ",3,3,3,22]
["Fort Thomas 1955","Clarke 1880 ",-7,215,225,"Nevis; St. Kitts (Leeward Islands)",25,25,25,2]
["Gan 1970","International 1924 ",-133,-321,50,"Republic of Maldives",25,25,25,1]
["Geodetic Datum 1949","International 1924 ",84,-22,209,"New Zealand",5,3,5,14]
["Graciosa Base SW 1948","International 1924 ",-104,167,-38,"Azores (Faial; Graciosa; Pico; Sao Jorge; Terceira) ",3,3,3,5]
["Guam 1963","Clarke 1866",-100,-248,259,"Guam",3,3,3,5]
["Gunung Segara","Bessel 1841 ",-403,684,41,"Indonesia (Kalimantan)",-1,-1,-1,0]
["GUX 1 Astro","International 1924 ",252,-209,-751,"Guadalcanal Island",25,25,25,1]
["Herat North","International 1924 ",-333,-222,114,"Afghanistan",-1,-1,-1,0]
["Hermannskogel Datum","Bessel 1841 (Namibia) ",653,-212,449,"Croatia -Serbia, Bosnia-Herzegovina ",-1,-1,-1,0]
["Hjorsey 1955","International 1924 ",-73,46,-86,"Iceland",3,3,6,6]
["Hong Kong 1963","International 1924 ",-156,-271,-189,"Hong Kong",25,25,25,2]
["Hu-Tzu-Shan","International 1924 ",-637,-549,-203,"Taiwan",15,15,15,4]
["Indian","Everest (India 1830) ",282,726,254,"Bangladesh",10,8,12,6]
["Indian","Everest (India 1956) ",295,736,257,"India; Nepal",12,10,15,7]
["Indian","Everest (Pakistan) ",283,682,231,"Pakistan",-1,-1,-1,0]
["Indian 1954","Everest (India 1830) ",217,823,299,"Thailand",15,6,12,11]
["Indian 1960","Everest (India 1830) ",182,915,344,"Vietnam (Con Son Island)",25,25,25,1]
["Indian 1960","Everest (India 1830) ",198,881,317,"Vietnam (Near 16øN)",25,25,25,2]
["Indian 1975","Everest (India 1830) ",210,814,289,"Thailand",3,2,3,62]
["Indonesian 1974","Indonesian 1974 ",-24,-15,5,"Indonesia",25,25,25,1]
["Ireland 1965","Modified Airy ",506,-122,611,"Ireland",3,3,3,7]
["ISTS 061 Astro 1968","International 1924 ",-794,119,-298,"South Georgia Islands",25,25,25,1]
["ISTS 073 Astro 1969","International 1924 ",208,-435,-229,"Diego Garcia",25,25,25,2]
["Johnston Island 1961","International 1924 ",189,-79,-202,"Johnston Island",25,25,25,1]
["Kandawala","Everest (India 1830) ",-97,787,86,"Sri Lanka",20,20,20,3]
["Kerguelen Island 1949","International 1924 ",145,-187,103,"Kerguelen Island",25,25,25,1]
["Kertau 1948","Everest (Malay. & Sing) ",-11,851,5,"West Malaysia & Singapore",10,8,6,6]
["Kusaie Astro 1951","International 1924 ",647,1777,-1124,"Caroline Islands",25,25,25,1]
["Korean Geodetic System","GRS 80 ",0,0,0,"South Korea",2,2,2,12]
["L. C. 5 Astro 1961","Clarke 1866 ",42,124,147,"Cayman Brac Island",25,25,25,1]
["Leigon","Clarke 1880",-130,29,364,"Ghana ",2,3,2,8]
["Liberia 1964","Clarke 1880",-90,40,88,"Liberia",15,15,15,4]
["Luzon","Clarke 1866",-133,-77,-51,"Philippines (Excluding Mindanao) ",8,11,9,6]
["Luzon","Clarke 1866",-133,-79,-72,"Philippines (Mindanao) ",25,25,25,1]
["M'Poraloko","Clarke 1880",-74,-130,42,"Gabon",25,25,25,1]
["Mahe 1971","Clarke 1880",41,-220,-134,"Mahe Island",25,25,25,1]
["Massawa","Bessel 1841",639,405,60,"Ethiopia (Eritrea) ",25,25,25,1]
["Merchich","Clarke 1880",31,146,47,"Morocco",5,3,3,9]
["Midway Astro 1961","International 1924 ",912,-58,1227,"Midway Islands",25,25,25,1]
["Minna","Clarke 1880",-81,-84,115,"Cameroon ",25,25,25,2]
["Minna","Clarke 1880",-92,-93,122,"Nigeria ",3,6,5,6]
["Montserrat Island Astro 1958","Clarke 1880 ",174,359,365,"Montserrat (Leeward Islands)",25,25,25,1]
["Nahrwan","Clarke 1880",-247,-148,369,"Oman (Masirah Island) ",25,25,25,2]
["Nahrwan","Clarke 1880",-243,-192,477,"Saudi Arabia ",20,20,20,3]
["Nahrwan","Clarke 1880",-249,-156,381,"United Arab Emirates ",25,25,25,2]
["Naparima BWI","International 1924 ",-10,375,165,"Trinidad & Tobago",15,15,15,4]
["North American 1927","Clarke 1866 ",-5,135,172,"Alaska (Excluding Aleutian Ids)",5,9,5,47]
["North American 1927","Clarke 1866 ",-2,152,149,"Alaska (Aleutian Ids East of 180øW)",6,8,10,6]
["North American 1927","Clarke 1866 ",2,204,105,"Alaska (Aleutian Ids West of 180øW)",10,10,10,5]
["North American 1927","Clarke 1866 ",-4,154,178,"Bahamas (Except San Salvador Id)",5,3,5,11]
["North American 1927","Clarke 1866 ",1,140,165,"Bahamas (San Salvador Island)",25,25,25,1]
["North American 1927","Clarke 1866 ",-7,162,188,"Canada (Alberta; British Columbia)",8,8,6,25]
["North American 1927","Clarke 1866 ",-9,157,184,"Canada (Manitoba; Ontario)",9,5,5,25]
["North American 1927","Clarke 1866 ",-22,160,190,"Canada (New Brunswick; Newfoundland; Nova Scotia; Quebec) ",6,6,3,37]
["North American 1927","Clarke 1866 ",4,159,188,"Canada (Northwest Territories; Saskatchewan) ",5,5,3,17]
["North American 1927","Clarke 1866 ",-7,139,181,"Canada (Yukon)",5,8,3,8]
["North American 1927","Clarke 1866 ",0,125,201,"Canal Zone",20,20,20,3]
["North American 1927","Clarke 1866 ",-9,152,178,"Cuba",25,25,25,1]
["North American 1927","Clarke 1866 ",11,114,195,"Greenland (Hayes Peninsula)",25,25,25,2]
["North American 1927","Clarke 1866 ",-3,142,183,"MEAN FOR Antigua; Barbados; Barbuda; Caicos Islands; Cuba; Dominican Republic; Grand Cayman; Jamaica; Turks Islands ",3,9,12,15]
["North American 1927","Clarke 1866 ",0,125,194,"MEAN FOR Belize; Costa Rica; El Salvador; Guatemala; Honduras; Nicaragua ",8,3,5,19]
["North American 1927","Clarke 1866 ",-10,158,187,"MEAN FOR Canada",15,11,6,112]
["North American 1927","Clarke 1866 ",-8,160,176,"MEAN FOR CONUS",5,5,6,405]
["North American 1927","Clarke 1866 ",-9,161,179,"MEAN FOR CONUS (East of Mississippi; River Including Louisiana; Missouri; Minnesota) ",5,5,8,129]
["North American 1927","Clarke 1866 ",-8,159,175,"MEAN FOR CONUS (West of Mississippi; River Excluding Louisiana; Minnesota; Missouri) ",5,3,3,276]
["North American 1927","Clarke 1866 ",-12,130,190,"Mexico",8,6,6,22]
["North American 1983","GRS 80 ",0,0,0,"Alaska (Excluding Aleutian Ids)",2,2,2,42]
["North American 1983","GRS 80 ",-2,0,4,"Aleutian Ids",5,2,5,4]
["North American 1983","GRS 80 ",0,0,0,"Canada",2,2,2,96]
["North American 1983","GRS 80 ",0,0,0,"CONUS",2,2,2,216]
["North American 1983","GRS 80 ",1,1,-1,"Hawaii",2,2,2,6]
["North American 1983","GRS 80 ",0,0,0,"Mexico; Central America",2,2,2,25]
["North Sahara 1959","Clarke 1880 ",-186,-93,310,"Algeria",25,25,25,3]
["Observatorio Meteorologico 1939","International 1924 ",-425,-169,81,"Azores (Corvo & Flores Islands)",20,20,20,3]
["Old Egyptian 1907","Helmert 1906 ",-130,110,-13,"Egypt",3,6,8,14]
["Old Hawaiian","Clarke 1866",89,-279,-183,"Hawaii",25,25,25,2]
["Old Hawaiian","Clarke 1866",45,-290,-172,"Kauai",20,20,20,3]
["Old Hawaiian","Clarke 1866",65,-290,-190,"Maui",25,25,25,2]
["Old Hawaiian","Clarke 1866",61,-285,-181,"MEAN FOR Hawaii; Kauai; Maui; Oahu",25,20,20,15]
["Old Hawaiian","Clarke 1866",58,-283,-182,"Oahu",10,6,6,8]
["Oman","Clarke 1880",-346,-1,224,"Oman ",3,3,9,7]
["Ordnance Survey Great Britain 1936","Airy 1830 ",371,-112,434,"England",5,5,6,21]
["Ordnance Survey Great Britain 1936","Airy 1830 ",371,-111,434,"England; Isle of Man; Wales",10,10,15,25]
["Ordnance Survey Great Britain 1936","Airy 1830 ",375,-111,431,"MEAN FOR England; Isle of Man; Scotland; Shetland Islands; Wales ",10,10,15,38]
["Ordnance Survey Great Britain 1936","Airy 1830 ",384,-111,425,"Scotland; Shetland Islands",10,10,10,13]
["Ordnance Survey Great Britain 1936","Airy 1830 ",370,-108,434,"Wales",20,20,20,3]
["Pico de las Nieves","International 1924 ",-307,-92,127,"Canary Islands",25,25,25,1]
["Pitcairn Astro 1967","International 1924 ",185,165,42,"Pitcairn Island",25,25,25,1]
["Point 58","Clarke 1880",-106,-129,165,"MEAN FOR Burkina Faso & Niger",25,25,25,1]
["Pointe Noire 1948","Clarke 1880 ",-148,51,-291,"Congo",25,25,25,1]
["Porto Santo 1936","International 1924 ",-499,-249,314,"Porto Santo; Madeira Islands",25,25,25,2]
["Provisional South American 1956","International 1924 ",-270,188,-388,"Bolivia",5,11,14,5]
["Provisional South American 1956","International 1924 ",-270,183,-390,"Chile (Northern; Near 19øS)",25,25,25,1]
["Provisional South American 1956","International 1924 ",-305,243,-442,"Chile (Southern; Near 43øS)",20,20,20,3]
["Provisional South American 1956","International 1924 ",-282,169,-371,"Colombia",15,15,15,4]
["Provisional South American 1956","International 1924 ",-278,171,-367,"Ecuador",3,5,3,11]
["Provisional South American 1956","International 1924 ",-298,159,-369,"Guyana",6,14,5,9]
["Provisional South American 1956","International 1924 ",-288,175,-376,"MEAN FOR Bolivia; Chile; Colombia; Ecuador; Guyana; Peru; Venezuela ",17,27,27,63]
["Provisional South American 1956","International 1924 ",-279,175,-379,"Peru",6,8,12,6]
["Provisional South American 1956","International 1924 ",-295,173,-371,"Venezuela",9,14,15,24]
["Provisional South Chilean 1963","International 1924 ",16,196,93,"Chile (Near 53øS) (Hito XVIII)",25,25,25,2]
["Puerto Rico","Clarke 1866",11,72,-101,"Puerto Rico; Virgin Islands",3,3,3,11]
["Pulkovo 1942","Krassovsky 1940 ",28,-130,-95,"Russia",-1,-1,-1,0]
["Qatar National","International 1924 ",-128,-283,22,"Qatar",20,20,20,3]
["Qornoq","International 1924 ",164,138,-189,"Greenland (South)",25,25,32,2]
["Reunion","International 1924 ",94,-948,-1262,"Mascarene Islands",25,25,25,1]
["Rome 1940","International 1924 ",-225,-65,9,"Italy (Sardinia)",25,25,25,1]
["S-42 (Pulkovo 1942)","Krassovsky 1940 ",28,-121,-77,"Hungary",2,2,2,5]
["S-42 (Pulkovo 1942)","Krassovsky 1940 ",23,-124,-82,"Poland",4,2,4,11]
["S-42 (Pulkovo 1942)","Krassovsky 1940 ",26,-121,-78,"Czechoslavakia",3,3,2,6]
["S-42 (Pulkovo 1942)","Krassovsky 1940 ",24,-124,-82,"Latvia",2,2,2,5]
["S-42 (Pulkovo 1942)","Krassovsky 1940 ",15,-130,-84,"Kazakhstan",25,25,25,2]
["S-42 (Pulkovo 1942)","Krassovsky 1940 ",24,-130,-92,"Albania",3,3,3,7]
["S-42 (Pulkovo 1942)","Krassovsky 1940 ",28,-121,-77,"Romania",3,5,3,4]
["S-JTSK","Bessel 1841",589,76,480,"Czechoslavakia (Prior 1 JAN 1993) ",4,2,3,6]
["Santo (DOS) 1965","International 1924 ",170,42,84,"Espirito Santo Island",25,25,25,1]
["Sao Braz","International 1924 ",-203,141,53,"Azores (Sao Miguel; Santa Maria Ids)",25,25,25,2]
["Sapper Hill 1943","International 1924 ",-355,21,72,"East Falkland Island",1,1,1,5]
["Schwarzeck","Bessel 1841 (Namibia) ",616,97,-251,"Namibia",20,20,20,3]
["Selvagem Grande 1938","International 1924 ",-289,-124,60,"Salvage Islands",25,25,25,1]
["Sierra Leone 1960","Clarke 1880 ",-88,4,101,"Sierra Leone",15,15,15,8]
["South American 1969","South American 1969 ",-62,-1,-37,"Argentina",5,5,5,10]
["South American 1969","South American 1969 ",-61,2,-48,"Bolivia",15,15,15,4]
["South American 1969","South American 1969 ",-60,-2,-41,"Brazil",3,5,5,22]
["South American 1969","South American 1969 ",-75,-1,-44,"Chile",15,8,11,9]
["South American 1969","South American 1969 ",-44,6,-36,"Colombia",6,6,5,7]
["South American 1969","South American 1969 ",-48,3,-44,"Ecuador",3,3,3,11]
["South American 1969","South American 1969 ",-47,26,-42,"Ecuador (Baltra; Galapagos)",25,25,25,1]
["South American 1969","South American 1969 ",-53,3,-47,"Guyana",9,5,5,5]
["South American 1969","South American 1969 ",-57,1,-41,"MEAN FOR Argentina; Bolivia; Brazil; Chile; Colombia; Ecuador; Guyana; Paraguay; Peru; Trinidad & Tobago; Venezuela ",15,6,9,84]
["South American 1969","South American 1969 ",-61,2,-33,"Paraguay",15,15,15,4]
["South American 1969","South American 1969 ",-58,0,-44,"Peru",5,5,5,6]
["South American 1969","South American 1969 ",-45,12,-33,"Trinidad & Tobago",25,25,25,1]
["South American 1969","South American 1969 ",-45,8,-33,"Venezuela",3,6,3,5]
["South Asia","Modified Fischer 1960 ",7,-10,-26,"Singapore",25,25,25,1]
["Tananarive Observatory 1925","International 1924 ",-189,-242,-91,"Madagascar",-1,-1,-1,0]
["Timbalai 1948","Everest (Sabah Sarawak) ",-679,669,-48,"Brunei; E. Malaysia (Sabah Sarawak)",10,10,12,8]
["Tokyo","Bessel 1841",-148,507,685,"Japan ",8,5,8,16]
["Tokyo","Bessel 1841",-148,507,685,"MEAN FOR Japan; South Korea; Okinawa ",20,5,20,31]
["Tokyo","Bessel 1841",-158,507,676,"Okinawa ",20,5,20,3]
["Tokyo","Bessel 1841",-147,506,687,"South Korea ",2,2,2,29]
["Tristan Astro 1968","International 1924 ",-632,438,-609,"Tristan da Cunha",25,25,25,1]
["Viti Levu 1916","Clarke 1880 ",51,391,-36,"Fiji (Viti Levu Island)",25,25,25,1]
["Voirol 1960","Clarke 1880",-123,-206,219,"Algeria",25,25,25,2]
["Wake Island Astro 1952","International 1924 ",276,-57,149,"Wake Atoll",25,25,25,2]
["Wake-Eniwetok 1960","Hough 1960 ",102,52,-38,"Marshall Islands",3,3,3,10]
["WGS 1972","WGS 72",0,0,0,"Global Definition ",-1,-1,-1,0]
["WGS 1984","WGS 84",0,0,0,"Global Definition ",-1,-1,-1,0]
["Yacare","International 1924 ",-155,171,37,"Uruguay",-1,-1,-1,0]
["Zanderij","International 1924",-265,120,-358,"Suriname",5,5,8,5]

{"sheet":"Formulas","index":46,"n_rows":762,"n_cols":9,"rows_kept":762,"cut":false,"hidden":false,"merged":[[686,0,686,1],[626,0,626,1],[627,8,627,9],[628,0,628,1],[628,8,628,9],[626,8,626,9],[684,0,684,1],[72,0,72,9],[73,0,73,4],[74,0,74,4],[113,0,113,2],[162,0,162,2],[163,0,163,14],[164,0,164,2],[169,0,169,6],[170,0,170,10],[171,0,171,6],[17,0,17,2],[65,0,65,15],[64,0,64,3],[66,0,66,2],[71,0,71,5],[271,0,271,8],[260,0,260,4],[262,0,262,5],[267,0,267,8],[172,0,172,4],[173,0,173,9],[269,0,269,8],[270,0,270,4],[212,0,212,3]]}
["Back to Introduction"]
["Geographic to Grid Coordinates conversion (Ain El Abd) "]
[]
["Given:"]
["φ = geographic latitude"]
["λ = geographic longitude"]
["λ0 = longitude of the central meridian of the zone"]
[]
["Constant:"]
["a = semi major axis (International 1924 Ellipsoid) = 6,378,388.0"]
["1/f = inverse flattening (International 1924 Ellipsoid) = 297"]
["False Northing = 0"]
["False Easting   = 500,000 in every central meridian"]
["K0 = scale factor in central meridian = 0.9996"]
["f = 1/297"]
["e2 = 2f - f2    square of first eccentricity"]
["         "]
["             Meridian Distance  "]
["             A0 = 1-(e2/4)-(3e4/64)-(5e6/256)"]
["A2 = (3/8)(e2+e4/4+15e6/128) "]
["             A4 = (15/256)(e4+3e6/4)"]
["A6 = 35e6/3072"]
["m = a{A0φ -A2Sin2φ+A4Sin4φ -A6Sin6φ}"]
[]
["The radii of curvature for a given Latitude"]
["ρ = a(1-e 2)/(1-e2Sin2φ)3/2   radius of curvature in the meridian"]
["ν = a /(1-e 2Sin2φ)1/2            radius of curvature in the prime vertical"]
["Ψ = ν / ρ                             ratio of the ellipsoidal radii of curvature "]
["t = Tanφ"]
["ω = λ-λ0                 Geodetic longitude difference measured from the central meridian. "]
[]
["Northing"]
["Term1 = (ω2/2) ν Sinφ Cosφ "]
["Term2 = (ω4/24) ν Sinφ Cos3φ (4Ψ2+ Ψ -t2) "]
["Term3 = (ω6/720) ν Sinφ Cos5φ [8 Ψ4(11-24t2)-28 Ψ3(1-6t2)+ Ψ2(1-32t2)- Ψ (2t2)+t4] "]
["Term4 = (ω8/40320) ν Sin φ Cos7φ (1385-3111t2+543t4-t6) "]
["N' = K0{m + Term1 + Term2 + Term3 + Term4 }"]
["N = N' + False Northing"]
[]
["Easting"]
["Term1 = (ω 2/6)Cos2φ (Ψ -t2) "]
["Term2 = (ω 4/120)Cos4φ [4 Ψ3(1-6t2)+ Ψ2(1+8t2) - Ψ 2t2+t4] "]
["Term3 = (ω 6/5040)Cos6φ (61-479t2+179t4-t6)"]
["E' = (K0 ν ω Cosφ){1 + Term1 + Term2 + Term3}"]
["             E = E ' + False Easting  "]
[]
[]
[]
["Grid to Geographic Coordinates conversion (Ain El Abd)"]
[]
["Given:"]
["E = Easting"]
["N = Northing"]
["λ0 = longitude of the central meridian of the zone"]
[]
["Constant:"]
["a = semi major axis (International 1924 Ellipsoid) = 6,378,388.0"]
["1/f = inverse flattening (International 1924 Ellipsoid) = 297"]
["             f = 1/297"]
["False Northing = zero for northern hemisphere (N') = 0"]
["False Easting   = 500,000 in central meridian"]
["K0 = scale factor in central meridians = 0.9996"]
["e2 = 2f - f2 "]
[]
["Foot-point Latitude (φ')  "]
["The foot-point latitude (φ') is the latitude for which the meridian distance equals the true northing divided by the central scale factor (m= N/k0)"]
["             π = 3.14159265358979"]
["             m = N/k0  "]
["n = f/(2-f) "]
["G = a(1-n)(1-n2)(1+(9/4)n2+(225/64)n4)(π/180) "]
["σ = (mπ)/(180G)  "]
["The foot point latitude (in radians) is then calculated by:  "]
["            φ' = σ+((3n/2)-(27n3/32))Sin2σ +((21n2/16)-(55n4/32))Sin4σ+(151n3/96)"]
["                    Sin6σ+(1097n4/512)Sin8σ  "]
["Radius of Curvature"]
["In the following formulae t, ρ, ν and Ψ are all evaluated for the foot point latitude.   "]
["ρ' = a(1-e 2)/(1-e2Sin2φ')3/2"]
[" ν' = a /(1-e 2Sin2φ')1/2"]
["Ψ’ = ν' / ρ' "]
[" t' = Tanφ'"]
["   "]
["Latitude"]
["E’ = E - False Easting "]
["x = E' /(K0ν')  "]
["Term1 = (t'/(K0ρ'))(xE'/2) "]
["Term2 = (t'/(K0ρ'))(E'x3/24)[-4 Ψ’2+9 Ψ' (1-t'2)+12t'2] "]
["Term3 = (t'/(K0ρ'))((E'x5)/720)[8 Ψ'4(11-24t'2)-12 Ψ’3(21-71t'2)+15 Ψ'2(15-98t'2+15t'4) +180 Ψ' (5t'2-3t'4)+360t'4] "]
["Term4 = (t'/(K0ρ'))(E' x7/40320)(1385+3633t'2+4095t'4+1575t'6) "]
[" φ = φ ' - Term1 + Term2 - Term3 + Term4  "]
[]
["Longitude"]
["Term1 = x Sec φ' "]
["Term2 = (x3/6)Secφ' (Ψ' +2t'2) "]
["Term3 = (x5/120)Secφ' [-4Ψ'3(1-6t'2)+ Ψ'2(9-68t'2)+72 Ψ' t'2+24t'4] "]
["Term4 = (x7/5040)Secφ' (61+662t'2+1320t'4+720t'6)"]
["ω = Term1 - Term2 + Term3 - Term4 "]
["λ = λ 0 + ω "]
["Geographic to Grid Coordinates conversion (WGS 84)"]
[]
["Given:"]
["φ = geographic latitude"]
["λ = geographic longitude"]
["λ0 = longitude of the central meridian of the zone"]
[]
["Constant:"]
["a = semi major axis (WGS-84 Ellipsoid) = 6,378,137.0"]
["1/f = inverse flattening (WGS-84 Ellipsoid) = 298.257223563"]
["False Northing = 0"]
["False Easting   = 500,000 in every central meridian"]
["K0 = scale factor in central meridian = 0.9996"]
["f = 1/298.257223563"]
["e2 = 2f - f2    square of first eccentricity"]
["         "]
["             Meridian Distance  "]
["             A0 = 1-(e2/4)-(3e4/64)-(5e6/256)"]
["A2 = (3/8)(e2+e4/4+15e6/128) "]
["             A4 = (15/256)(e4+3e6/4)"]
["A6 = 35e6/3072"]
["m = a{A0φ -A2Sin2φ+A4Sin4φ -A6Sin6φ}"]
[]
["The radii of curvature for a given Latitude"]
["ρ = a(1-e 2)/(1-e2Sin2φ)3/2   radius of curvature in the meridian"]
["ν = a /(1-e 2Sin2φ)1/2            radius of curvature in the prime vertical"]
["Ψ = ν / ρ                             ratio of the ellipsoidal radii of curvature"]
["t = Tanφ"]
["ω = λ-λ0             Geodetic longitude difference measured from the central meridian."]
[]
["Northing"]
["Term1 = (ω2/2) ν Sinφ Cosφ "]
["Term2 = (ω4/24) ν Sinφ Cos3φ (4Ψ2+ Ψ -t2) "]
["Term3 = (ω6/720) ν Sinφ Cos5φ [8 Ψ4(11-24t2)-28 Ψ3(1-6t2)+ Ψ2(1-32t2)- Ψ (2t2)+t4] "]
["Term4 = (ω8/40320) ν Sin φ Cos7φ (1385-3111t2+543t4-t6) "]
["N' = K0{m + Term1 + Term2 + Term3 + Term4 }"]
["N = N' + False Northing"]
[]
["Easting"]
["Term1 = (ω 2/6)Cos2φ (Ψ -t2) "]
["Term2 = (ω 4/120)Cos4φ [4 Ψ3(1-6t2)+ Ψ2(1+8t2) - Ψ 2t2+t4] "]
["Term3 = (ω 6/5040)Cos6φ (61-479t2+179t4-t6)"]
["E' = (K0 ν ω Cosφ){1 + Term1 + Term2 + Term3}"]
["             E = E ' + False Easting  "]
[]
[]
[]
[]
[]
["Grid to Geographic Coordinates conversion (WGS 84)"]
[]
["Given:"]
["E = Easting"]
["N = Northing"]
["λ0 = longitude of the central meridian of the zone"]
[]
["Constant:"]
["a = semi major axis (WGS-84 Ellipsoid) = 6,378,137.0"]
["            1/f = inverse flattening (WGS-84 Ellipsoid) = 298.257223563"]
["             f = 1/298.257223563"]
["False Northing = zero for northern hemisphere (N') = 0"]
["False Easting   = 500,000 in central meridian"]
["K0 = scale factor in central meridians = 0.9996"]
["e2 = 2f - f2 "]
[]
["Foot-point Latitude (φ')  "]
["The foot-point latitude (φ') is the latitude for which the meridian distance equals the true northing divided by the central scale factor (m= N/k0)"]
["             π = 3.14159265358979"]
["             m = N/k0  "]
["n = f/(2-f) "]
["G = a(1-n)(1-n2)(1+(9/4)n2+(225/64)n4)(π/180) "]
["σ = (mπ)/(180G)  "]
["           The foot point latitude (in radians) is then calculated by:  "]
["            φ' = σ+((3n/2)-(27n3/32))Sin2σ +((21n2/16)-(55n4/32))Sin4σ+(151n3/96)"]
["                    Sin6σ+(1097n4/512)Sin8σ  "]
["         Radius of Curvature"]
["            In the following formulae t, ρ, ν and Ψ are all evaluated for the foot point latitude.   "]
["ρ' = a(1-e 2)/(1-e2Sin2φ')3/2"]
[" ν' = a /(1-e 2Sin2φ')1/2"]
["Ψ’ = ν' / ρ' "]
[" t' = Tanφ'"]
["   "]
["Latitude"]
["E’ = E - False Easting "]
["x = E' /(K0ν')  "]
["Term1 = (t'/(K0ρ'))(xE'/2) "]
["Term2 = (t'/(K0ρ'))(E'x3/24)[-4 Ψ’2+9 Ψ' (1-t'2)+12t'2] "]
["Term3 = (t'/(K0ρ'))((E'x5)/720)[8 Ψ'4(11-24t'2)-12 Ψ’3(21-71t'2)+15 Ψ'2(15-98t'2+15t'4) +180 Ψ' (5t'2-3t'4)+360t'4] "]
["Term4 = (t'/(K0ρ'))(E' x7/40320)(1385+3633t'2+4095t'4+1575t'6) "]
[" φ = φ ' - Term1 + Term2 - Term3 + Term4  "]
[]
["Longitude"]
["Term1 = x Sec φ' "]
["Term2 = (x3/6)Secφ' (Ψ' +2t'2) "]
["Term3 = (x5/120)Secφ' [-4Ψ'3(1-6t'2)+ Ψ'2(9-68t'2)+72 Ψ' t'2+24t'4] "]
["Term4 = (x7/5040)Secφ' (61+662t'2+1320t'4+720t'6)"]
["ω = Term1 - Term2 + Term3 - Term4 "]
["λ = λ 0 + ω "]
[]
["Geographic to Grid Coordinates conversion (ITRF)"]
[]
["Given:"]
["φ = geographic latitude"]
["λ = geographic longitude"]
["λ0 = longitude of the central meridian of the zone"]
[]
["Constant:"]
["a = semi major axis (GRS 80 Ellipsoid) = 6,378,137.000"]
["1/f = inverse flattening (GRS 80 Ellipsoid) = 298.257222101"]
["False Northing = 0"]
["False Easting   = 500,000 in every central meridian"]
["K0 = scale factor in central meridian = 0.9996"]
["f = 1/298.257222101"]
["e2 = 2f - f2    square of first eccentricity"]
["         "]
["             Meridian Distance  "]
["             A0 = 1-(e2/4)-(3e4/64)-(5e6/256)"]
["A2 = (3/8)(e2+e4/4+15e6/128) "]
["             A4 = (15/256)(e4+3e6/4)"]
["A6 = 35e6/3072"]
["m = a{A0φ -A2Sin2φ+A4Sin4φ -A6Sin6φ}"]
[]
["The radii of curvature for a given Latitude"]
["ρ = a(1-e 2)/(1-e2Sin2φ)3/2   radius of curvature in the meridian"]
["ν = a / (1-e 2Sin2φ)1/2            radius of curvature in the prime vertical"]
["Ψ = ν / ρ                             ratio of the ellipsoidal radii of curvature"]
["t = Tanφ"]
["ω = λ-λ0             Geodetic longitude difference measured from the central meridian."]
[]
["Northing"]
["Term1 = (ω2/2) ν Sinφ Cosφ "]
["Term2 = (ω4/24) ν Sinφ Cos3φ (4Ψ2+ Ψ -t2) "]
["Term3 = (ω6/720) ν Sinφ Cos5φ [8 Ψ4(11-24t2)-28 Ψ3(1-6t2)+ Ψ2(1-32t2)- Ψ (2t2)+t4] "]
["Term4 = (ω8/40320) ν Sin φ Cos7φ (1385-3111t2+543t4-t6) "]
["N' = K0{m + Term1 + Term2 + Term3 + Term4 }"]
["N = N' + False Northing"]
[]
["Easting"]
["Term1 = (ω 2/6)Cos2φ (Ψ -t2) "]
["Term2 = (ω 4/120)Cos4φ [4 Ψ3(1-6t2)+ Ψ2(1+8t2) - Ψ 2t2+t4] "]
["Term3 = (ω 6/5040)Cos6φ (61-479t2+179t4-t6)"]
["E' = (K0 ν ω Cosφ){1 + Term1 + Term2 + Term3}"]
["             E = E' + False Easting  "]
[]
[]
[]
[]
["Grid to Geographic Coordinates conversion (ITRF)"]
[]
["Given:"]
["E = Easting"]
["N = Northing"]
["λ0 = longitude of the central meridian of the zone"]
[]
["Constant:"]
["a = semi major axis (GRS 80 Ellipsoid) = 6,378,137.000"]
["            1/f = inverse flattening (GRS 80 Ellipsoid) = 298.257222101"]
["             f = 1/298.257222101"]
["False Northing = zero for northern hemisphere (N') = 0"]
["False Easting   = 500,000 in central meridian"]
["K0 = scale factor in central meridians = 0.9996"]
["e2 = 2f - f2 "]
[]
["Foot-point Latitude (φ')  "]
["            The foot-point latitude (φ') is the latitude for which the meridian distance equals the true northing divided by the central scale factor (m= N/k0)"]
["             π = 3.14159265358979"]
["             m = N/k0  "]
["n = f/(2-f) "]
["G = a(1-n)(1-n2)(1+(9/4)n2+(225/64)n4)(π/180) "]
["σ = (mπ)/(180G)  "]
["           The foot point latitude (in radians) is then calculated by:  "]
["            φ' = σ+((3n/2)-(27n3/32))Sin2σ +((21n2/16)-(55n4/32))Sin4σ+(151n3/96)"]
["                    Sin6σ+(1097n4/512)Sin8σ  "]
["Radius of Curvature"]
["            In the following formulae t, ρ, ν and Ψ are all evaluated for the foot point latitude.   "]
["ρ' = a(1-e 2)/(1-e2Sin2φ')3/2"]
[" ν' = a /(1-e 2Sin2φ')1/2"]
["Ψ’ = ν' / ρ' "]
[" t' = Tanφ'"]
["   "]
["Latitude"]
["E’ = E - False Easting "]
["x = E' /(K0ν')  "]
["Term1 = (t'/(K0ρ'))(xE'/2) "]
["Term2 = (t'/(K0ρ'))(E'x3/24)[-4 Ψ’2+9 Ψ' (1-t'2)+12t'2] "]
["Term3 = (t'/(K0ρ'))((E'x5)/720)[8 Ψ'4(11-24t'2)-12 Ψ’3(21-71t'2)+15 Ψ'2(15-98t'2+15t'4) +180 Ψ' (5t'2-3t'4)+360t'4] "]
["Term4 = (t'/(K0ρ'))(E' x7/40320)(1385+3633t'2+4095t'4+1575t'6) "]
[" φ = φ ' - Term1 + Term2 - Term3 + Term4  "]
[]
["Longitude"]
["Term1 = x Sec φ' "]
["Term2 = (x3/6)Secφ' (Ψ' +2t'2) "]
["Term3 = (x5/120)Secφ' [-4Ψ'3(1-6t'2)+ Ψ'2(9-68t'2)+72 Ψ' t'2+24t'4] "]
["Term4 = (x7/5040)Secφ' (61+662t'2+1320t'4+720t'6)"]
["ω = Term1 - Term2 + Term3 - Term4 "]
["λ = λ 0 + ω "]
[]
["Geographic to Geocentric Coordinates conversion (Ain El Abd)"]
[]
[]
["Given:"]
["φ = geographic latitude"]
["λ = geographic longitude"]
["h = Ellipsoid height"]
[]
["Where:"]
["φ, λ,h = geodetic latitude, longitude, and height above ellipsoid"]
["X,Y,Z = Earth Centered Earth Fixed Cartesian coordinates"]
[]
["Constant:"]
["a = semi major axis (International 1924 Ellipsoid) = 6,378,388.0"]
["1/f = inverse flattening (International 1924 Ellipsoid) = 297"]
["f = 1/297"]
["e2 = 2f - f2                      square of first eccentricity"]
["ν = a /(1-e 2Sin2φ)1/2       radius of curvature in the prime vertical"]
["h = N+H"]
[" note: that h is the height above the ellipsoid.. This is the height value that is delivered by GPS satellite observations but is not the gravity-related height value which is normally used for national mapping and levelling operations. The gravity-related height (H) is usually the height above mean sea level or an alternative level reference for the country. If one starts with a gravity-related height H, it will be necessary to convert it to an ellipsoid height (h) before using the above transformation formulas"]
[]
["Geocentric Coordinates"]
["             X = (ν + h) cos(φ ) cos(λ) "]
["             Y = (ν + h) cos(φ ) sin(λ) "]
["Z = {(1-e2)ν + h} sin(φ)  "]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[]
["Geocentric to Geographic Coordinates conversion (Ain El Abd)"]
[]
["Given:"]
["X = geocentric X"]
["Y = geocentric Y"]
["Z = geocentric Z"]
[]
["Where:"]
["φ, λ,h = geodetic latitude, longitude, and height above ellipsoid"]
["X,Y,Z = Earth Centered Earth Fixed Cartesian coordinates"]
["                                                                                                             "]
["Constant:"]
["a = semi major axis (International 1924 Ellipsoid) = 6,378,388.0"]
["b = semi minor axis (international 1924 Ellipsoid) = a-af"]
["1/f = inverse flattening (International 1924 Ellipsoid) = 297"]
["f = 1/297    flattening"]
["ν = a /(1-e 2Sin2φ)1/2            radius of curvature in the prime vertical"]
["            e2 = (a2 – b2)/a2 = 2f – f2     first eccentricity squared       "]
["             e'2 =( a2 – b2 )/b2                 second eccentricity squared"]
["             "]
["             p =(X2 + Y2)½ "]
["             θ = atan(Za/pb)"]
[]
["             Geographic Coordinates"]
["             Φ = atan((Z+e'2b Sin3 θ)/(p- e2a Cos3 θ))"]
["             λ = atan(Y/X) "]
["             h = p/CosΦ-v"]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[]
["ECEF - A three dimensional coordinate system which has its origin at (or near) the centre of the earth.  These coordinates are commonly used for satellite derived positions (e.g.  GPS) and although they relate to a specific reference system they are independent of any ellipsoid. The positive Z axis coincides with (or is parallel to) the earth’s mean axis of rotation and the X and Y axes are chosen to obtain a right-handed coordinate system; for convenience it can be assumed that the positive arm of the X axis passes through the Greenwich meridian."]
[]
[]
[]
[]
[]
[]
[]
["Geographic to Geocentric Coordinates conversion (ITRF)"]
[]
[]
["Given:"]
["φ = geographic latitude"]
["λ = geographic longitude"]
["h = Ellipsoid height"]
[]
["Where:"]
["φ, λ,h = geodetic latitude, longitude, and height above ellipsoid"]
["X,Y,Z = Earth Centered Earth Fixed Cartesian coordinates"]
[]
["Constant:"]
["a = semi major axis (GRS 80 Ellipsoid) = 6,378,137.000"]
["1/f = inverse flattening (GRS 80 Ellipsoid) = 298.257222101"]
["f = 1/298.257222101    flattening"]
["e2 = 2f - f2                      square of first eccentricity"]
["ν = a / (1-e 2Sin2φ)1/2       radius of curvature in the prime vertical"]
["h = N+H"]
[" note: that h is the height above the ellipsoid.. This is the height value that is delivered by GPS satellite observations but is not the gravity-related height value which is normally used for national mapping and levelling operations. The gravity-related height (H) is usually the height above mean sea level or an alternative level reference for the country. If one starts with a gravity-related height H, it will be necessary to convert it to an ellipsoid height (h) before using the above transformation formulas"]
[]
["Geocentric Coordinates"]
["             X = (ν + h) cos(φ ) cos(λ) "]
["             Y = (ν + h) cos(φ ) sin(λ) "]
["Z = {(1-e2)ν + h} sin(φ)  "]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[]
["Geocentric to Geographic Coordinates conversion (ITRF)"]
[]
["Given:"]
["X = geocentric X"]
["Y = geocentric Y"]
["Z = geocentric Z"]
[]
["Where:"]
["φ, λ,h = geodetic latitude, longitude, and height above ellipsoid"]
["X,Y,Z = Earth Centered Earth Fixed Cartesian coordinates"]
["                                                                                                             "]
["Constant:"]
["a = semi major axis (GRS 80 Ellipsoid) = 6,378,137.000"]
["b = semi minor axis (GRS 80 Ellipsoid) = a-af"]
["1/f = inverse flattening (GRS 80 Ellipsoid) = 298.257222101"]
["f = 1/298.257222101   flattening"]
["ν = a /(1-e 2Sin2φ)1/2            radius of curvature in the prime vertical"]
["            e2 = (a2 – b2)/a2 = 2f – f2     first eccentricity squared       "]
["             e'2 =( a2 – b2 )/b2                 second eccentricity squared"]
["             "]
["             p =(X2 + Y2)½ "]
["             θ = atan(Za/pb)"]
[]
["             Geographic Coordinates"]
["             Φ = atan((Z+e'2b Sin3 θ)/(p- e2a Cos3 θ))"]
["             λ = atan(Y/X) "]
["             h = p/CosΦ-v"]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[]
["ECEF - A three dimensional coordinate system which has its origin at (or near) the centre of the earth.  These coordinates are commonly used for satellite derived positions (e.g.  GPS) and although they relate to a specific reference system they are independent of any ellipsoid. The positive Z axis coincides with (or is parallel to) the earth’s mean axis of rotation and the X and Y axes are chosen to obtain a right-handed coordinate system; for convenience it can be assumed that the positive arm of the X axis passes through the Greenwich meridian."]
[]
[]
[]
[]
[]
[]
[]
[]
["Molodensky Transformation Formulas "]
["(Ain El Abd Geographic to WGS 84 Geographic)"]
[]
["Given:"]
["f = geographic latitude (Ain El Abd)"]
["l = geographic longitude (Ain El Abd)"]
["h = Ellipsoid height (Ain El Abd)"]
[]
["International 1924 Ellipsoid:"]
["a = semi major axis = 6,378,388.0"]
["b = semi minor axis = a-af"]
["1/f = inverse flattening = 297"]
["f = 1/297 flattening"]
["e2 = 2f - f2                              square of first eccentricity"]
["RN = a /(1-e 2Sin2φ)1/2            radius of curvature in the prime vertical"]
["RM = a(1-e 2)/(1-e2Sin2φ)3/2   radius of curvature in the meridian"]
[]
["WGS 84 Ellipsoid:"]
["a = semi major axis = 6,378,137.0"]
["1/f = inverse flattening = 298.257223563"]
["f = 1/298.257223563 flattening"]
[]
["Constant:"]
["DX, DY, DZ = shifts between centers of Ain El Abd geodetic datum and WGS84 ellipsoid."]
["DX = -143"]
["DY = -236"]
["DZ = 7"]
[]
["Da, Df = differences between the semi-major axis and flattening of international ellipsoid and  "]
["              the WGS84 ellipsoid, respectively (WGS84-International 1924)"]
["Da = -251"]
["Df = f(WGS84) – f(International 1924)"]
[]
["note: the units of Df and Dl are arc seconds; the units of Dh are meters."]
["Df\" = {-DX sinf cosl - DY sinf sinl + DZ cosf + Da(RN e2 sinf cosf)/a + Df [RM(a/b) +  "]
["               RN(b/a)] sinf cosf} [(RM + h)sin 1\"]-1  "]
["Dl\" = [-DX sinl + DY cosl] × [(RN + h)cosf sin 1\"]-1 "]
["Dh  = DX cosf cosl + DY cosf sinl + DZ sinf - Da(a/ RN) + Df(b/a) RN sin2 f"]
["Geographic WGS84:"]
["fWGS84 = fAin El Abd + Df\""]
["lWGS84 = l Ain El Abd + Dl\""]
["hWGS84 = h Ain El Abd + Dh"]
[]
[]
[]
[]
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[]
[]
[]
[]
[]
[]
[]
[]
[]
["Molodensky Transformation Formulas "]
["(WGS 84 Geographic to Ain El Abd Geographic)"]
[]
["Given:"]
["f = geographic latitude (WGS 84)"]
["l = geographic longitude (WGS 84)"]
["h = Ellipsoid height (WGS 84)"]
[]
["International 1924 Ellipsoid:"]
["a = semi major axis = 6,378,388.0"]
["b = semi minor axis = a-af"]
["1/f = inverse flattening = 297"]
["f = 1/297 flattening"]
["e2 = 2f - f2                              square of first eccentricity"]
["RN = a /(1-e 2Sin2φ)1/2            radius of curvature in the prime vertical"]
["RM = a(1-e 2)/(1-e2Sin2φ)3/2   radius of curvature in the meridian"]
[]
["WGS 84 Ellipsoid:"]
["a = semi major axis = 6,378,137.0"]
["1/f = inverse flattening = 298.257223563"]
["f = 1/298.257223563 flattening"]
[]
["Constant:"]
["DX, DY, DZ = shifts between centers of Ain El Abd geodetic datum and WGS84 ellipsoid."]
["DX = 143"]
["DY = 236"]
["DZ = -7"]
[]
["Da, Df = differences between the semi-major axis and flattening of international ellipsoid and  "]
["              the WGS84 ellipsoid, respectively (International 1924 – WGS84)"]
["Da = 251"]
["Df = f(International 1924) - f(WGS84)"]
[]
["note: the units of Df and Dl are arc seconds; the units of Dh are meters."]
["Df\" = {-DX sinf cosl - DY sinf sinl + DZ cosf + Da(RN e2 sinf cosf)/a + Df [RM(a/b) + "]
["                RN(b/a)] sinf cosf} [(RM + h)sin 1\"]-1  "]
["Dl\" = [-DX sinl + DY cosl] × [(RN + h)cosf sin 1\"]-1 "]
["Dh  = DX cosf cosl + DY cosf sinl + DZ sinf - Da(a/ RN) + Df(b/a) RN sin2 f "]
[]
["Geographic WGS84:"]
["fAin El Abd = fWGS84 + Df\""]
["l Ain El Abd = lWGS84 + Dl\""]
["h Ain El Abd = hWGS84 + Dh"]
[]
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[]
["7- Parameter Transformation (Ain El Abd Geocentric to ITRF Geocentric)"]
[]
["Given:"]
["XAin El Abd = X geocentric axis"]
["YAin El Abd = Y geocentric axis"]
["ZAin El Abd = Z geocentric axis"]
[]
["Constant:"]
["ΔX = origin shift along the X axis (m) "]
["ΔY = origin shift along the Y axis (m) "]
["ΔZ = origin shift along the Z axis (m) "]
["Rx = Rotation of the X axis (radians) "]
["Ry = Rotation of the Y axis (radians)"]
["Rz = Rotation of the Z axis (radians)"]
["Sc = Change in scale (parts per million or ppm)."]
[]
["General Formula:"]
["                                                                                                                                                                                                          "]
["XITRF",null,"ΔX",null,null,1,"Rz","-Ry","         XAin El Abd"]
["YITRF","=","ΔY","+","(1+Sc)","-Rz","1","Rx","YAin El Abd"]
["ZITRF",null,"ΔZ",null,null,"Ry","-Rx","1","ZAin El Abd"]
[]
[]
["Note: before executing this formula, rotation Rx, Ry & Rz must converted into radians"]
["          (1+Sc) = 1 + (Sc / 1,000,000)   scale factor "]
[]
["ITRF Geocentric:"]
["XITRF = ΔX + (1+Sc) * ((XAin El Abd * 1) + (YAin El Abd * Rz) + (ZAin El Abd * -Ry))"]
["YITRF = ΔY + (1+Sc) * ((XAin El Abd * -Rz) + (YAin El Abd * 1) + (ZAin El Abd * Rx))"]
["ZITRF = ΔZ + (1+Sc) * ((XAin El Abd * Ry) + (YAin El Abd * -Rx) + (ZAin El Abd * 1))"]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[]
["7- Parameter Transformation (ITRF Geocentric to Ain El Abd Geocentric)"]
[]
["Given:"]
["XITRF = X geocentric axis"]
["YITRF = Y geocentric axis"]
["ZITRF = Z geocentric axis"]
[]
["Constant:"]
["ΔX = origin shift along the X axis (m) "]
["ΔY = origin shift along the Y axis (m) "]
["ΔZ = origin shift along the Z axis (m) "]
["Rx = Rotation of the X axis (radians) "]
["Ry = Rotation of the Y axis (radians)"]
["Rz = Rotation of the Z axis (radians)"]
["Sc = Change in scale (parts per million or ppm)."]
[]
["General Formula:"]
["                                                                                                                                                                                                          "]
["XAin El Abd",null,"ΔX",null,null,"1","Rz","-Ry","XITRF"]
["XAin El Abd","=","ΔY","+","(1+Sc)","-Rz","1","Rx","YITRF"]
["XAin El Abd",null,"ΔZ",null,null,"Ry","-Rx","1","ZITRF"]
[]
[]
["Note: before executing this formula, rotation Rx, Ry & Rz must converted into radians"]
["          (1+Sc) = 1 + (Sc / 1,000,000)   scale factor "]
[]
["Ain El Abd Geocentric:"]
["XAin El Abd = ΔX + (1+Sc) * ((XITRF * 1) + (YITRF * Rz) + (ZITRF * -Ry))"]
["YAin El Abd = ΔY + (1+Sc) * ((XITRF * -Rz) + (YITRF * 1) + (ZITRF * Rx))"]
["ZAin El Abd = ΔZ + (1+Sc) * ((XITRF * Ry) + (YITRF * -Rx) + (ZITRF * 1))"]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[]
["        Transformation Parameters between WGS84 and Ain El Abd Datum"]
[]
["DATUM (World Geodetic System 84)                                      DATUM (Ain El Abd)                                                                                                                                                           "]
["                                "]
["       Grid Coordinates                                                                Grid Coordinates"]
["      (UTM-coordinates)                                                              (TM-coordinates)                                                                                "]
["                                        "]
["                       "]
["              Conversion                                                                          Conversion "]
[]
[]
[]
["Geographic Coordinates                  Molodensky                    Geographic Coordinates                                                   "]
["                                                      Transformations"]
["___________________________________________________________________"]
[]
["            Transformation Parameters between ITRF and Ain El Abd Datum"]
[]
["        DATUM (ITRF)                                                                 DATUM (Ain El Abd)                                                                                                                                                           "]
["                               "]
["       Grid Coordinates                                                              Grid Coordinates"]
["       (TM-coordinates)                                                             (TM-coordinates)                                                                                "]
["                                        "]
["                       "]
["                   Conversion                                                                                                     Conversion "]
[]
[]
[]
["Geographic Coordinates                                                     Geographic Coordinates                                                   "]
["                                                      "]
[]
["          Conversion                                                                                 Conversion"]
[]
[]
[]
["Geocentric Coordinates                7-Parameters                  Geocentric Coordinates"]
["                                                    Transformations     "]

{"sheet":"Cart_ITRF to Cart_Ain el Abd","index":47,"n_rows":38,"n_cols":24,"rows_kept":38,"cut":false,"hidden":false,"merged":[[46,4,46,5],[26,15,26,16],[27,23,27,24],[28,15,28,16],[28,23,28,24],[2,7,3,7],[2,8,3,8],[8,6,8,8],[10,1,10,4],[10,6,10,9]]}
["Back to Introduction"]
[]
[null,"Note: This 7-Parameters Transformation is need a recent data.",null,null,null,null,null,null,"User's Input"]
[null,"         Just highlight the last row and drag it downward for multi-data."]
[]
[null,"Dx=",-43.8,"(meters)",null,"Rx=",-1.4550000000000001,"(seconds)"]
[null,"Dy=",108.8,"(meters)",null,"Ry=",0.76100000000000001,"(seconds)"]
[null,"Dz=",119.6,"(meters)",null,"Rz=",-0.73699999999999999,"(seconds)"]
[null,"Sc=",-0.54900000000000004,"(ppm)"]
[null,null,null,null,null,null,null,null,null,null,null,null,"Rx",{"$f":"((G6/3600)/180)*PI()","v":-7.0540390601437478E-6},"(radians)"]
[null,"Cartesian or Geocentric (ITRF)",null,null,null,null,"Cartesian or Geocentric (Ain El Abd KSA)",null,null,null,null,null,"Ry",{"$f":"((G7/3600)/180)*PI()","v":3.6894321132435691E-6},"(radians)"]
[null,"pt.no","X (m)","Y (m)","Z (m)",null,"pt.no","X (m)","Y (m)","Z (m)",null,null,"Rz",{"$f":"((G8/3600)/180)*PI()","v":-3.5730768297772801E-6},"(radians)"]
[null,1,2827122.53,3369233.432,4603736.2410000004,null,{"$f":"IF(B13=\"\",\"\",B13)","v":1},{"$f":"IF(E13=\"\",\"\",$C$6+($N$13)*((C13*1)+(D13*-$N$12)+(E13*$N$11)))","v":2827106.2015960356},{"$f":"IF(E13=\"\",\"\",$C$7+($N$13)*((C13*$N$12)+(D13*1)+(E13*-$N$10)))","v":3369362.7556878221},{"$f":"IF(E13=\"\",\"\",$C$8+($N$13)*((C13*-$N$11)+(D13*$N$10)+(E13*1)))","v":4603819.1163866958},null,null,"Scale factor",{"$f":"1+(C9/1000000)","v":0.99999945099999998}]
[null,2,2827138.8583720955,3369104.1082876115,4603653.3656508531,null,{"$f":"IF(B14=\"\",\"\",B14)","v":2},{"$f":"IF(E14=\"\",\"\",$C$6+($N$13)*((C14*1)+(D14*-$N$12)+(E14*$N$11)))","v":2827122.5291913208},{"$f":"IF(E14=\"\",\"\",$C$7+($N$13)*((C14*$N$12)+(D14*1)+(E14*-$N$10)))","v":3369233.4314034847},{"$f":"IF(E14=\"\",\"\",$C$8+($N$13)*((C14*-$N$11)+(D14*$N$10)+(E14*1)))","v":4603736.2419350585}]
[null,null,null,null,null,null,"","","",""]
[null,null,null,null,null,null,"","","",""]
[null,null,null,null,null,null,"","","",""]
[null,null,null,null,null,null,"","","",""]
[null,null,null,null,null,null,"","","",""]
[null,null,null,null,null,null,"","","",""]
[null,null,null,null,null,null,"","","",""]
[null,null,null,null,null,null,"","","",""]
[null,null,null,null,null,null,"","","",""]
[null,null,null,null,null,null,"","","","",null,null,null,null,null,"NEED TO CONFIRM THE SIGN VALUE OF ROTATION"]
[null,null,null,null,null,null,"","","","",null,null,null,null,null,"General Formula:"]
[null,null,null,null,null,null,"","","","",null,null,null,null,null,"                                                                                                                                                                                                          "]
[null,null,null,null,null,null,"","","","",null,null,null,null,null,"XITRF",null,"ΔX",null,null,1,"Rz","-Ry","XAin El Abd"]
[null,null,null,null,null,null,"","","","",null,null,null,null,null,"YITRF","=","ΔY","+","(1+Sc)","-Rz","1","Rx","YAin El Abd"]
[null,null,null,null,null,null,"","","","",null,null,null,null,null,"ZITRF",null,"ΔZ",null,null,"Ry","-Rx","1","ZAin El Abd"]
[null,null,null,null,null,null,"","","",""]
[null,null,null,null,null,null,"","","",""]
[null,null,null,null,null,null,"","","","",null,null,null,null,null,"Note: before executing this formula, rotation Rx, Ry & Rz must converted into radians"]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"          (1+Sc) = 1 + (Sc / 1,000,000)   scale factor "]
[]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"ITRF Geocentric:"]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"XITRF = ΔX + (1+Sc) * ((XAin El Abd * 1) + (YAin El Abd * Rz) + (ZAin El Abd * -Ry))"]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"YITRF = ΔY + (1+Sc) * ((XAin El Abd * -Rz) + (YAin El Abd * 1) + (ZAin El Abd * Rx))"]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"ZITRF = ΔZ + (1+Sc) * ((XAin El Abd * Ry) + (YAin El Abd * -Rx) + (ZAin El Abd * 1))"]

{"sheet":"Cart_Ain el Abd to Cart_ITRF","index":48,"n_rows":32,"n_cols":22,"rows_kept":32,"cut":false,"hidden":false,"merged":[[20,13,20,14],[20,21,20,22],[10,1,10,4],[10,6,10,9],[2,7,3,7],[2,8,3,8],[8,6,8,8],[18,13,18,14],[19,21,19,22]]}
["Back to Introduction"]
[]
[null,"Note: This 7-Parameters Transformation is need a recent data.",null,null,null,null,null,null,"User's Input"]
[null,"         Just highlight the last row and drag it downward for multi-data."]
[]
[null,"Dx=",43.8,"(meters)",null,"Rx=",1.4550000000000001,"(seconds)"]
[null,"Dy=",-108.8,"(meters)",null,"Ry=",-0.76100000000000001,"(seconds)"]
[null,"Dz=",-119.6,"(meters)",null,"Rz=",0.73699999999999999,"(seconds)"]
[null,"Sc=",0.54900000000000004,"(ppm)"]
[null,null,null,null,null,null,null,null,null,null,null,null,"Rx",{"$f":"((G6/3600)/180)*PI()","v":7.0540390601437478E-6},"(radians)"]
[null,"Cartesian or Geocentric (Ain El Abd KSA)",null,null,null,null,"Cartesian or Geocentric (ITRF)",null,null,null,null,null,"Ry",{"$f":"((G7/3600)/180)*PI()","v":-3.6894321132435691E-6},"(radians)"]
[null,"pt.no","X (m)","Y (m)","Z (m)",null,"pt.no","X (m)","Y (m)","Z (m)",null,null,"Rz",{"$f":"((G8/3600)/180)*PI()","v":3.5730768297772801E-6},"(radians)"]
[null,1,2827122.53,3369233.432,4603736.2410000004,null,{"$f":"IF(B13=\"\",\"\",B13)","v":1},{"$f":"IF(E13=\"\",\"\",$C$6+($N$13)*((C13*1)+(D13*-$N$12)+(E13*$N$11)))","v":2827138.8583720955},{"$f":"IF(E13=\"\",\"\",$C$7+($N$13)*((C13*$N$12)+(D13*1)+(E13*-$N$10)))","v":3369104.1082876115},{"$f":"IF(E13=\"\",\"\",$C$8+($N$13)*((C13*-$N$11)+(D13*$N$10)+(E13*1)))","v":4603653.3656508531},null,null,"Scale factor",{"$f":"1+(C9/1000000)","v":1.0000005489999999}]
[null,2,3305692.5660000001,500000,null,null,{"$f":"IF(B14=\"\",\"\",B14)","v":2},{"$f":"IF(D14=\"\",\"\",LNorth_to_WNorth(C14,D14,E14,$J$9))","v":3305643.0743486471},{"$f":"IF(D14=\"\",\"\",LEast_to_WEast(C14,D14,E14,$J$9))","v":499764.10447807785},{"$f":"IF(E14=\"\",\"\",LH_to_WH(C14,D14,E14,$J$9))","v":""}]
[null,null,null,null,null,null,"","","",""]
[null,null,null,null,null,null,"","","","",null,null,null,"NEED TO CONFIRM THE SIGN VALUE OF ROTATION"]
[null,null,null,null,null,null,"","","","",null,null,null,"General Formula:"]
[null,null,null,null,null,null,"","","","",null,null,null,"                                                                                                                                                                                                          "]
[null,null,null,null,null,null,"","","","",null,null,null,"XITRF",null,"ΔX",null,null,1,"Rz","-Ry","XAin El Abd"]
[null,null,null,null,null,null,"","","","",null,null,null,"YITRF","=","ΔY","+","(1+Sc)","-Rz","1","Rx","YAin El Abd"]
[null,null,null,null,null,null,"","","","",null,null,null,"ZITRF",null,"ΔZ",null,null,"Ry","-Rx","1","ZAin El Abd"]
[null,null,null,null,null,null,"","","",""]
[null,null,null,null,null,null,"","","",""]
[null,null,null,null,null,null,"","","","",null,null,null,"Note: before executing this formula, rotation Rx, Ry & Rz must converted into radians"]
[null,null,null,null,null,null,"","","","",null,null,null,"          (1+Sc) = 1 + (Sc / 1,000,000)   scale factor "]
[null,null,null,null,null,null,"","","",""]
[null,null,null,null,null,null,"","","","",null,null,null,"ITRF Geocentric:"]
[null,null,null,null,null,null,"","","","",null,null,null,"XITRF = ΔX + (1+Sc) * ((XAin El Abd * 1) + (YAin El Abd * Rz) + (ZAin El Abd * -Ry))"]
[null,null,null,null,null,null,"","","","",null,null,null,"YITRF = ΔY + (1+Sc) * ((XAin El Abd * -Rz) + (YAin El Abd * 1) + (ZAin El Abd * Rx))"]
[null,null,null,null,null,null,"","","","",null,null,null,"ZITRF = ΔZ + (1+Sc) * ((XAin El Abd * Ry) + (YAin El Abd * -Rx) + (ZAin El Abd * 1))"]
[null,null,null,null,null,null,"","","",""]
[null,null,null,null,null,null,"","","",""]

{"sheet":"Geoc_ITRF to Geog_ITRF","index":49,"n_rows":26,"n_cols":28,"rows_kept":26,"cut":false,"hidden":false,"merged":[[1,16,2,16],[1,17,2,17],[4,6,4,13],[4,15,4,18],[5,7,5,9],[5,10,5,12],[1,2,2,2],[1,3,2,3],[4,1,4,4]]}
["Back to Introduction",null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"Conversion of \"Earth-centred\" Cartesian Coordinates to Geodetic Coordinates"]
[null,null,null,"User's Input"]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"Ellipsoid (GRS80)"]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"GRS80 (International Terrestrial Reference Frame - ITRF)"]
[null,"Geocentric (ITRF)",null,null,null,null,"Geographic (ITRF)",null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"Semi major axis (a)",6378137]
[null,"pt.no","X (m)","Y (m)","Z (m)",null,"pt.no","latitude",null,null,"longitude",null,null,"Ellip H",null,null,null,null,null,null,null,null,null,null,null,null,"Semi minor axis (b)",{"$f":"AB5-AB5/AB7","v":6356752.3142478326}]
[null,1,2827138.8586704154,3369104.1084746681,4603653.3655683193,null,{"$f":"IF(B7=\"\",\"\",B7)","v":1},{"$f":"IF(E7=\"\",\"\",TRUNC((ATAN((E7+$AB$10*$AB$6*(SIN(ATAN(E7*$AB$5/($AB$6*SQRT(C7^2+D7^2)))))^3)/(SQRT(C7^2+D7^2)-$AB$9*$AB$5*(COS(ATAN(E7*$AB$5/($AB$6*SQRT(C7^2+D7^2)))))^3)))*180/PI()))","v":46},{"$f":"IF(E7=\"\",\"\",TRUNC((((ATAN((E7+$AB$10*$AB$6*(SIN(ATAN(E7*$AB$5/($AB$6*SQRT(C7^2+D7^2)))))^3)/(SQRT(C7^2+D7^2)-$AB$9*$AB$5*(COS(ATAN(E7*$AB$5/($AB$6*SQRT(C7^2+D7^2)))))^3)))*180/PI())-H7)*60))","v":30},{"$f":"IF(E7=\"\",\"\",(((ATAN((E7+$AB$10*$AB$6*(SIN(ATAN(E7*$AB$5/($AB$6*SQRT(C7^2+D7^2)))))^3)/(SQRT(C7^2+D7^2)-$AB$9*$AB$5*(COS(ATAN(E7*$AB$5/($AB$6*SQRT(C7^2+D7^2)))))^3)))*180/PI())-H7-(I7/60))*3600)","v":0.32064464486438737},{"$f":"IF(E7=\"\",\"\",TRUNC((ATAN(D7/C7))*180/PI()))","v":49},{"$f":"IF(E7=\"\",\"\",TRUNC((((ATAN(D7/C7))*180/PI())-K7)*60))","v":59},{"$f":"IF(E7=\"\",\"\",(((ATAN(D7/C7))*180/PI())-K7-(L7/60))*3600)","v":55.51484073641366},{"$f":"IF(E7=\"\",\"\",SQRT(C7^2+D7^2)/COS(ATAN((E7+$AB$10*$AB$6*(SIN(ATAN(E7*$AB$5/($AB$6*SQRT(C7^2+D7^2)))))^3)/(SQRT(C7^2+D7^2)-$AB$9*$AB$5*(COS(ATAN(E7*$AB$5/($AB$6*SQRT(C7^2+D7^2)))))^3)))-($AB$5/SQRT(1-$AB$9*(SIN(ATAN((E7+$AB$10*$AB$6*(SIN(ATAN(E7*$AB$5/($AB$6*SQRT(C7^2+D7^2)))))^3)/(SQRT(C7^2+D7^2)-$AB$9*$AB$5*(COS(ATAN(E7*$AB$5/($AB$6*SQRT(C7^2+D7^2)))))^3))))^2)))","v":-46.663280910812318},null,null,null,null,null,null,null,null,null,null,null,null,"Inverse flattening (1/f)",298.25722359999997]
[null,2,2827138.8586704154,3369104.1084746681,4603653.3655683193,null,{"$f":"IF(B8=\"\",\"\",B8)","v":2},{"$f":"IF(E8=\"\",\"\",TRUNC((ATAN((E8+$AB$10*$AB$6*(SIN(ATAN(E8*$AB$5/($AB$6*SQRT(C8^2+D8^2)))))^3)/(SQRT(C8^2+D8^2)-$AB$9*$AB$5*(COS(ATAN(E8*$AB$5/($AB$6*SQRT(C8^2+D8^2)))))^3)))*180/PI()))","v":46},{"$f":"IF(E8=\"\",\"\",TRUNC((((ATAN((E8+$AB$10*$AB$6*(SIN(ATAN(E8*$AB$5/($AB$6*SQRT(C8^2+D8^2)))))^3)/(SQRT(C8^2+D8^2)-$AB$9*$AB$5*(COS(ATAN(E8*$AB$5/($AB$6*SQRT(C8^2+D8^2)))))^3)))*180/PI())-H8)*60))","v":30},{"$f":"IF(E8=\"\",\"\",(((ATAN((E8+$AB$10*$AB$6*(SIN(ATAN(E8*$AB$5/($AB$6*SQRT(C8^2+D8^2)))))^3)/(SQRT(C8^2+D8^2)-$AB$9*$AB$5*(COS(ATAN(E8*$AB$5/($AB$6*SQRT(C8^2+D8^2)))))^3)))*180/PI())-H8-(I8/60))*3600)","v":0.32064464486438737},{"$f":"IF(E8=\"\",\"\",TRUNC((ATAN(D8/C8))*180/PI()))","v":49},{"$f":"IF(E8=\"\",\"\",TRUNC((((ATAN(D8/C8))*180/PI())-K8)*60))","v":59},{"$f":"IF(E8=\"\",\"\",(((ATAN(D8/C8))*180/PI())-K8-(L8/60))*3600)","v":55.51484073641366},{"$f":"IF(E8=\"\",\"\",SQRT(C8^2+D8^2)/COS(ATAN((E8+$AB$10*$AB$6*(SIN(ATAN(E8*$AB$5/($AB$6*SQRT(C8^2+D8^2)))))^3)/(SQRT(C8^2+D8^2)-$AB$9*$AB$5*(COS(ATAN(E8*$AB$5/($AB$6*SQRT(C8^2+D8^2)))))^3)))-($AB$5/SQRT(1-$AB$9*(SIN(ATAN((E8+$AB$10*$AB$6*(SIN(ATAN(E8*$AB$5/($AB$6*SQRT(C8^2+D8^2)))))^3)/(SQRT(C8^2+D8^2)-$AB$9*$AB$5*(COS(ATAN(E8*$AB$5/($AB$6*SQRT(C8^2+D8^2)))))^3))))^2)))","v":-46.663280910812318},null,null,null,null,null,null,null,null,null,null,null,null,"f",{"$f":"1/AB7","v":3.3528106643315515E-3}]
[null,3,2827138.8586704154,3369104.1084746681,4603653.3655683193,null,3,46,30,0.32064464486438737,49,59,55.51484073641366,-46.663280910812318,null,null,null,null,null,null,null,null,null,null,null,null,"e2",{"$f":"2*AB8-AB8^2","v":6.6943799893122479E-3}]
[null,4,2827138.8586704154,3369104.1084746681,4603653.3655683193,null,4,46,30,0.32064464486438737,49,59,55.51484073641366,-46.663280910812318,null,null,null,null,null,null,null,null,null,null,null,null,"e'2",{"$f":"(AB5^2-AB6^2)/AB6^2","v":6.7394967414359701E-3}]
[null,5,2827138.8586704154,3369104.1084746681,4603653.3655683193,null,5,46,30,0.32064464486438737,49,59,55.51484073641366,-46.663280910812318]
[null,6,2827138.8586704154,3369104.1084746681,4603653.3655683193,null,6,46,30,0.32064464486438737,49,59,55.51484073641366,-46.663280910812318]
[null,7,2827138.8586704154,3369104.1084746681,4603653.3655683193,null,7,46,30,0.32064464486438737,49,59,55.51484073641366,-46.663280910812318]
[null,1,2827138.8439531489,3369104.0909360875,4603653.341447358,null,1,46,30,0.32064477511539735,49,59,55.51484073641366,-46.696537797339261]
[null,null,null,null,null,null,"","","","","","","",""]
[null,null,null,null,null,null,"","","","","","","",""]
[null,null,null,null,null,null,"","","","","","","",""]
[null,null,null,null,null,null,"","","","","","","",""]
[null,null,null,null,null,null,"","","","","","","",""]
[null,null,null,null,null,null,"","","","","","","",""]
[null,null,null,null,null,null,"","","","","","","",""]
[null,null,null,null,null,null,"","","","","","","",""]
[null,null,null,null,null,null,"","","","","","","",""]
[null,null,null,null,null,null,"","","","","","","",""]
[null,null,null,null,null,null,"","","","","","","",""]
[null,null,null,null,null,null,"","","","","","","",""]

{"sheet":"Geog_ITRF to Geoc_ITRF","index":50,"n_rows":26,"n_cols":30,"rows_kept":26,"cut":false,"hidden":false,"merged":[[5,2,5,4],[5,5,5,7],[1,11,2,11],[1,12,2,12],[4,1,4,8],[4,10,4,13]]}
["Back to Introduction"]
[null,null,null,null,null,null,null,null,null,null,null,null,"User's Input"]
[]
[]
[null,"Geographic (ITRF)",null,null,null,null,null,null,null,null,"Geocentric (ITRF)"]
[null,"pt.no","latitude",null,null,"longitude",null,null,"Ellip H",null,"pt.no","X (m)","Y (m)","Z (m)"]
[null,1,46,30,0,50,0,0,-35,null,{"$f":"IF(B7=\"\",\"\",B7)","v":1},{"$f":"IF(I7=\"\",\"\",($AD$14+I7)*COS((C7+D7/60+E7/3600)*PI()/180)*COS((F7+G7/60+H7/3600)*PI()/180))","v":2827075.3749625911},{"$f":"IF(I7=\"\",\"\",($AD$14+I7)*COS((C7+D7/60+E7/3600)*PI()/180)*SIN((F7+G7/60+H7/3600)*PI()/180))","v":3369177.2346462905},{"$f":"IF(I7=\"\",\"\",((1-$AD$13)*$AD$14+I7)*SIN((C7+D7/60+E7/3600)*PI()/180))","v":4603655.0104306266}]
[null,1,46,30,0.32064464486438737,49,59,55.51484073641366,-46.663280910812318,null,{"$f":"IF(B8=\"\",\"\",B8)","v":1},{"$f":"IF(I8=\"\",\"\",($AD$14+I8)*COS((C8+D8/60+E8/3600)*PI()/180)*COS((F8+G8/60+H8/3600)*PI()/180))","v":2827138.8439531489},{"$f":"IF(I8=\"\",\"\",($AD$14+I8)*COS((C8+D8/60+E8/3600)*PI()/180)*SIN((F8+G8/60+H8/3600)*PI()/180))","v":3369104.0909360875},{"$f":"IF(I8=\"\",\"\",((1-$AD$13)*$AD$14+I8)*SIN((C8+D8/60+E8/3600)*PI()/180))","v":4603653.341447358},null,null,null,null,null,null,null,null,null,null,null,null,null,null,"Ellipsoid (GRS 80)"]
[null,null,null,null,null,null,null,null,null,null,"","","","",null,null,null,null,null,null,null,null,null,null,null,null,null,null,"GRS 80 (ITRF)"]
[null,null,null,null,null,null,null,null,null,null,"","","","",null,null,null,null,null,null,null,null,null,null,null,null,null,null,"Semi major axis (a)",6378137]
[null,null,null,null,null,null,null,null,null,null,"","","","",null,null,null,null,null,null,null,null,null,null,null,null,null,null,"Inverse flattening (1/f)",298.25722210100002]
[null,null,null,null,null,null,null,null,null,null,"","","","",null,null,null,null,null,null,null,null,null,null,null,null,null,null,"f",{"$f":"1/AD11","v":3.3528106811823188E-3}]
[null,null,null,null,null,null,null,null,null,null,"","","","",null,null,null,null,null,null,null,null,null,null,null,null,null,null,"e2",{"$f":"2*AD12-AD12*AD12","v":6.6943800229007869E-3}]
[null,null,null,null,null,null,null,null,null,null,"","","","",null,null,null,null,null,null,null,null,null,null,null,null,null,null,"n",{"$f":"AD10/SQRT(1-AD13*SIN((C7+D7/60+E7/3600)*PI()/180)*SIN((C7+D7/60+E7/3600)*PI()/180))","v":6389399.8367587142}]
[null,null,null,null,null,null,null,null,null,null,"","","",""]
[null,null,null,null,null,null,null,null,null,null,"","","",""]
[null,null,null,null,null,null,null,null,null,null,"","","",""]
[null,null,null,null,null,null,null,null,null,null,"","","",""]
[null,null,null,null,null,null,null,null,null,null,"","","",""]
[null,null,null,null,null,null,null,null,null,null,"","","",""]
[null,null,null,null,null,null,null,null,null,null,"","","",""]
[null,null,null,null,null,null,null,null,null,null,"","","",""]
[null,null,null,null,null,null,null,null,null,null,"","","",""]
[null,null,null,null,null,null,null,null,null,null,"","","",""]
[null,null,null,null,null,null,null,null,null,null,"","","",""]
[null,null,null,null,null,null,null,null,null,null,"","","",""]

{"sheet":"Geoc_AeA to Geog_AeA","index":51,"n_rows":26,"n_cols":28,"rows_kept":26,"cut":false,"hidden":false,"merged":[[1,17,2,17],[4,1,4,4],[4,6,4,13],[4,15,4,18],[5,7,5,9],[5,10,5,12],[1,2,2,2],[1,3,2,3],[1,16,2,16]]}
["Back to Introduction",null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"Conversion of \"Earth-centred\" Cartesian Coordinates to Geodetic Coordinates"]
[null,null,null,"User's Input"]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"Ellipsoid (International 1924)"]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"International 1924 (Ain El Abd Saudi Arabia)"]
[null,"Geocentric (Ain El Abd)",null,null,null,null,"Geographic (Ain El Abd)",null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"Semi major axis (a)",6378388]
[null,"pt.no","X (m)","Y (m)","Z (m)",null,"pt.no","latitude",null,null,"longitude",null,null,"Ellip H",null,null,null,null,null,null,null,null,null,null,null,null,"Semi minor axis (b)",{"$f":"AB5-AB5/AB7","v":6356911.9461279465}]
[null,1,2827138.8586704154,3369104.1084746681,4603653.3655683193,null,{"$f":"IF(B7=\"\",\"\",B7)","v":1},{"$f":"IF(E7=\"\",\"\",TRUNC((ATAN((E7+$AB$10*$AB$6*(SIN(ATAN(E7*$AB$5/($AB$6*SQRT(C7^2+D7^2)))))^3)/(SQRT(C7^2+D7^2)-$AB$9*$AB$5*(COS(ATAN(E7*$AB$5/($AB$6*SQRT(C7^2+D7^2)))))^3)))*180/PI()))","v":46},{"$f":"IF(E7=\"\",\"\",TRUNC((((ATAN((E7+$AB$10*$AB$6*(SIN(ATAN(E7*$AB$5/($AB$6*SQRT(C7^2+D7^2)))))^3)/(SQRT(C7^2+D7^2)-$AB$9*$AB$5*(COS(ATAN(E7*$AB$5/($AB$6*SQRT(C7^2+D7^2)))))^3)))*180/PI())-H7)*60))","v":30},{"$f":"IF(E7=\"\",\"\",(((ATAN((E7+$AB$10*$AB$6*(SIN(ATAN(E7*$AB$5/($AB$6*SQRT(C7^2+D7^2)))))^3)/(SQRT(C7^2+D7^2)-$AB$9*$AB$5*(COS(ATAN(E7*$AB$5/($AB$6*SQRT(C7^2+D7^2)))))^3)))*180/PI())-H7-(I7/60))*3600)","v":3.2761086196131828},{"$f":"IF(E7=\"\",\"\",TRUNC((ATAN(D7/C7))*180/PI()))","v":49},{"$f":"IF(E7=\"\",\"\",TRUNC((((ATAN(D7/C7))*180/PI())-K7)*60))","v":59},{"$f":"IF(E7=\"\",\"\",(((ATAN(D7/C7))*180/PI())-K7-(L7/60))*3600)","v":55.51484073641366},{"$f":"IF(E7=\"\",\"\",SQRT(C7^2+D7^2)/COS(ATAN((E7+$AB$10*$AB$6*(SIN(ATAN(E7*$AB$5/($AB$6*SQRT(C7^2+D7^2)))))^3)/(SQRT(C7^2+D7^2)-$AB$9*$AB$5*(COS(ATAN(E7*$AB$5/($AB$6*SQRT(C7^2+D7^2)))))^3)))-($AB$5/SQRT(1-$AB$9*(SIN(ATAN((E7+$AB$10*$AB$6*(SIN(ATAN(E7*$AB$5/($AB$6*SQRT(C7^2+D7^2)))))^3)/(SQRT(C7^2+D7^2)-$AB$9*$AB$5*(COS(ATAN(E7*$AB$5/($AB$6*SQRT(C7^2+D7^2)))))^3))))^2)))","v":-249.66389208566397},null,null,null,null,null,null,null,null,null,null,null,null,"Inverse flattening (1/f)",297]
[null,2,2827138.8586704154,3369104.1084746681,4603653.3655683193,null,{"$f":"IF(B8=\"\",\"\",B8)","v":2},{"$f":"IF(E8=\"\",\"\",TRUNC((ATAN((E8+$AB$10*$AB$6*(SIN(ATAN(E8*$AB$5/($AB$6*SQRT(C8^2+D8^2)))))^3)/(SQRT(C8^2+D8^2)-$AB$9*$AB$5*(COS(ATAN(E8*$AB$5/($AB$6*SQRT(C8^2+D8^2)))))^3)))*180/PI()))","v":46},{"$f":"IF(E8=\"\",\"\",TRUNC((((ATAN((E8+$AB$10*$AB$6*(SIN(ATAN(E8*$AB$5/($AB$6*SQRT(C8^2+D8^2)))))^3)/(SQRT(C8^2+D8^2)-$AB$9*$AB$5*(COS(ATAN(E8*$AB$5/($AB$6*SQRT(C8^2+D8^2)))))^3)))*180/PI())-H8)*60))","v":30},{"$f":"IF(E8=\"\",\"\",(((ATAN((E8+$AB$10*$AB$6*(SIN(ATAN(E8*$AB$5/($AB$6*SQRT(C8^2+D8^2)))))^3)/(SQRT(C8^2+D8^2)-$AB$9*$AB$5*(COS(ATAN(E8*$AB$5/($AB$6*SQRT(C8^2+D8^2)))))^3)))*180/PI())-H8-(I8/60))*3600)","v":3.2761086196131828},{"$f":"IF(E8=\"\",\"\",TRUNC((ATAN(D8/C8))*180/PI()))","v":49},{"$f":"IF(E8=\"\",\"\",TRUNC((((ATAN(D8/C8))*180/PI())-K8)*60))","v":59},{"$f":"IF(E8=\"\",\"\",(((ATAN(D8/C8))*180/PI())-K8-(L8/60))*3600)","v":55.51484073641366},{"$f":"IF(E8=\"\",\"\",SQRT(C8^2+D8^2)/COS(ATAN((E8+$AB$10*$AB$6*(SIN(ATAN(E8*$AB$5/($AB$6*SQRT(C8^2+D8^2)))))^3)/(SQRT(C8^2+D8^2)-$AB$9*$AB$5*(COS(ATAN(E8*$AB$5/($AB$6*SQRT(C8^2+D8^2)))))^3)))-($AB$5/SQRT(1-$AB$9*(SIN(ATAN((E8+$AB$10*$AB$6*(SIN(ATAN(E8*$AB$5/($AB$6*SQRT(C8^2+D8^2)))))^3)/(SQRT(C8^2+D8^2)-$AB$9*$AB$5*(COS(ATAN(E8*$AB$5/($AB$6*SQRT(C8^2+D8^2)))))^3))))^2)))","v":-249.66389208566397},null,null,null,null,null,null,null,null,null,null,null,null,"f",{"$f":"1/AB7","v":3.3670033670033669E-3}]
[null,3,2827138.8586704154,3369104.1084746681,4603653.3655683193,null,3,46,30,3.2761086196131828,49,59,55.51484073641366,-249.66389208566397,null,null,null,null,null,null,null,null,null,null,null,null,"e2",{"$f":"2*AB8-AB8^2","v":6.7226700223333219E-3}]
[null,4,2827138.8586704154,3369104.1084746681,4603653.3655683193,null,4,46,30,3.2761086196131828,49,59,55.51484073641366,-249.66389208566397,null,null,null,null,null,null,null,null,null,null,null,null,"e'2",{"$f":"(AB5^2-AB6^2)/AB6^2","v":6.768170197224155E-3}]
[null,5,2827138.8586704154,3369104.1084746681,4603653.3655683193,null,5,46,30,3.2761086196131828,49,59,55.51484073641366,-249.66389208566397]
[null,6,2827138.8586704154,3369104.1084746681,4603653.3655683193,null,6,46,30,3.2761086196131828,49,59,55.51484073641366,-249.66389208566397]
[null,7,2827138.8586704154,3369104.1084746681,4603653.3655683193,null,7,46,30,3.2761086196131828,49,59,55.51484073641366,-249.66389208566397]
[null,1,2827138.8439531489,3369104.0909360875,4603653.341447358,null,1,46,30,3.2761087652374954,49,59,55.51484073641366,-249.69714897405356]
[null,null,null,null,null,null,"","","","","","","",""]
[null,null,null,null,null,null,"","","","","","","",""]
[null,null,null,null,null,null,"","","","","","","",""]
[null,null,null,null,null,null,"","","","","","","",""]
[null,null,null,null,null,null,"","","","","","","",""]
[null,null,null,null,null,null,"","","","","","","",""]
[null,null,null,null,null,null,"","","","","","","",""]
[null,null,null,null,null,null,"","","","","","","",""]
[null,null,null,null,null,null,"","","","","","","",""]
[null,null,null,null,null,null,"","","","","","","",""]
[null,null,null,null,null,null,"","","","","","","",""]
[null,null,null,null,null,null,"","","","","","","",""]

{"sheet":"Geog_A el A to Geoc_A el A","index":52,"n_rows":26,"n_cols":30,"rows_kept":26,"cut":false,"hidden":false,"merged":[[1,12,2,12],[4,10,4,13],[5,2,5,4],[5,5,5,7],[4,1,4,8],[1,11,2,11]]}
["Back to Introduction"]
[null,null,null,null,null,null,null,null,null,null,null,null,"User's Input"]
[]
[]
[null,"Geographic (Ain El Abd)",null,null,null,null,null,null,null,null,"Geocentric (Ain el Abd)"]
[null,"pt.no","latitude",null,null,"longitude",null,null,"Ellip H",null,"pt.no","X (m)","Y (m)","Z (m)"]
[null,1,46,30,0,50,0,0,-35,null,{"$f":"IF(B7=\"\",\"\",B7)","v":1},{"$f":"IF(I7=\"\",\"\",($AD$14+I7)*COS((C7+D7/60+E7/3600)*PI()/180)*COS((F7+G7/60+H7/3600)*PI()/180))","v":2827207.7464699182},{"$f":"IF(I7=\"\",\"\",($AD$14+I7)*COS((C7+D7/60+E7/3600)*PI()/180)*SIN((F7+G7/60+H7/3600)*PI()/180))","v":3369334.9888657047},{"$f":"IF(I7=\"\",\"\",((1-$AD$13)*$AD$14+I7)*SIN((C7+D7/60+E7/3600)*PI()/180))","v":4603739.4443357419}]
[null,null,null,null,null,null,null,null,null,null,{"$f":"IF(B8=\"\",\"\",B8)","v":""},{"$f":"IF(I8=\"\",\"\",($AD$14+I8)*COS((C8+D8/60+E8/3600)*PI()/180)*COS((F8+G8/60+H8/3600)*PI()/180))","v":""},{"$f":"IF(I8=\"\",\"\",($AD$14+I8)*COS((C8+D8/60+E8/3600)*PI()/180)*SIN((F8+G8/60+H8/3600)*PI()/180))","v":""},{"$f":"IF(I8=\"\",\"\",((1-$AD$13)*$AD$14+I8)*SIN((C8+D8/60+E8/3600)*PI()/180))","v":""},null,null,null,null,null,null,null,null,null,null,null,null,null,null,"Ellipsoid (International 1924)"]
[null,null,null,null,null,null,null,null,null,null,"","","","",null,null,null,null,null,null,null,null,null,null,null,null,null,null,"International 1924 (Ain El Abd)"]
[null,null,null,null,null,null,null,null,null,null,"","","","",null,null,null,null,null,null,null,null,null,null,null,null,null,null,"Semi major axis (a)",6378388]
[null,null,null,null,null,null,null,null,null,null,"","","","",null,null,null,null,null,null,null,null,null,null,null,null,null,null,"Inverse flattening (1/f)",297]
[null,null,null,null,null,null,null,null,null,null,"","","","",null,null,null,null,null,null,null,null,null,null,null,null,null,null,"f",{"$f":"1/AD11","v":3.3670033670033669E-3}]
[null,null,null,null,null,null,null,null,null,null,"","","","",null,null,null,null,null,null,null,null,null,null,null,null,null,null,"e2",{"$f":"2*AD12-AD12*AD12","v":6.7226700223333219E-3}]
[null,null,null,null,null,null,null,null,null,null,"","","","",null,null,null,null,null,null,null,null,null,null,null,null,null,null,"n",{"$f":"AD10/SQRT(1-AD13*SIN((C7+D7/60+E7/3600)*PI()/180)*SIN((C7+D7/60+E7/3600)*PI()/180))","v":6389699.0045353491}]
[null,null,null,null,null,null,null,null,null,null,"","","",""]
[null,null,null,null,null,null,null,null,null,null,"","","",""]
[null,null,null,null,null,null,null,null,null,null,"","","",""]
[null,null,null,null,null,null,null,null,null,null,"","","",""]
[null,null,null,null,null,null,null,null,null,null,"","","",""]
[null,null,null,null,null,null,null,null,null,null,"","","",""]
[null,null,null,null,null,null,null,null,null,null,"","","",""]
[null,null,null,null,null,null,null,null,null,null,"","","",""]
[null,null,null,null,null,null,null,null,null,null,"","","",""]
[null,null,null,null,null,null,null,null,null,null,"","","",""]
[null,null,null,null,null,null,null,null,null,null,"","","",""]
[null,null,null,null,null,null,null,null,null,null,"","","",""]

{"sheet":"gridITRF to geoITRF","index":53,"n_rows":30,"n_cols":10,"rows_kept":30,"cut":false,"hidden":false,"merged":[[2,7,3,7],[2,8,3,8],[6,6,6,8],[8,1,8,4],[8,6,8,9]]}
["Back to Introduction"]
[]
[null,"Note: This worksheet can be expand as much as you want.",null,null,null,null,null,null,"User's Input"]
[null,"         Just highlight the last row and drag it downward."]
[null,"*Be sure to Fill-up the required zone.",null,null,null,null,"Geographic Latitude & Longitude Format = (Degrees-Minutes-Seconds)"]
[null,"Zone =",37]
[null,"l0 =",{"$f":"-177+(6*(C6-1))-3","v":36},"to",{"$f":"-177+(6*(C6-1))+3","v":42},null,"Central Meridians of the zone =",null,null,{"$f":"-177+(6*(C6-1))","v":39}]
[]
[null,"UTM-Grid (ITRF)",null,null,null,null,"Geographic (ITRF)"]
[null,"pt.no","northing (m)","easting (m)","elev. (m)",null,"pt.no","latitude","longitude","Elev."]
[null,1,3305692.5660000001,620723.94400000002,120,null,{"$f":"IF(B11=\"\",\"\",B11)","v":1},{"$f":"IF(D11=\"\",\"\",WNorth_to_WLat(C11, D11, $J$7))","v":"29-52-33.313898"},{"$f":"IF(D11=\"\",\"\",WEast_to_WLon(C11, D11, $J$7))","v":"40-15-0.364594"},{"$f":"IF(E11=\"\",\"\",E11)","v":120}]
[null,2,3305692.5660000001,500001,0,null,{"$f":"IF(B12=\"\",\"\",B12)","v":2},{"$f":"IF(D12=\"\",\"\",WNorth_to_WLat(C12, D12, $J$7))","v":"29-52-54.629886"},{"$f":"IF(D12=\"\",\"\",WEast_to_WLon(C12, D12, $J$7))","v":"39-0-0.037282"},{"$f":"IF(E12=\"\",\"\",E12)","v":0}]
[null,null,null,null,null,null,"","","",""]
[null,1,3305692.5660000001,620723.94400000002,120,null,1,"29-52-33.313898","40-15-0.364594",120]
[null,null,null,null,null,null,"","","",""]
[null,null,null,null,null,null,"","","",""]
[null,null,null,null,null,null,"","","",""]
[null,null,null,null,null,null,"","","",""]
[null,null,null,null,null,null,"","","",""]
[null,null,null,null,null,null,"","","",""]
[null,null,null,null,null,null,"","","",""]
[null,null,null,null,null,null,"","","",""]
[null,null,null,null,null,null,"","","",""]
[null,null,null,null,null,null,"","","",""]
[null,null,null,null,null,null,"","","",""]
[null,null,null,null,null,null,"","","",""]
[null,null,null,null,null,null,"","","",""]
[null,null,null,null,null,null,"","","",""]
[null,null,null,null,null,null,"","","",""]
[null,null,null,null,null,null,"","","",""]

{"sheet":"geoITRF to gridITRF","index":54,"n_rows":30,"n_cols":10,"rows_kept":30,"cut":false,"hidden":false,"merged":[[2,7,3,7],[2,8,3,8],[6,6,6,8],[8,1,8,4],[8,6,8,9]]}
["Back to Introduction"]
[]
[null,"Note: This worksheet can be expand as much as you want.",null,null,null,null,null,null,"User's Input"]
[null,"         Just highlight the last row and drag it downward."]
[null,"*Be sure to Fill-up the required zone."]
[null,"Zone =",37]
[null,"l0 =",{"$f":"-177+(6*(C6-1))-3","v":36},"to",{"$f":"-177+(6*(C6-1))+3","v":42},null,"Central Meridians of the zone =",null,null,{"$f":"-177+(6*(C6-1))","v":39}]
["Input this format dd-mm-ss (sample 29-01-00) or minutes must be 2-digits"]
[null,"Geographic (ITRF)",null,null,null,null,"UTM-Grid (ITRF)"]
[null,"pt.no","latitude","longitude","Elev.",null,"pt.no","northing (m)","easting (m)","elev. (m)"]
[null,1,"29-52-31.756126","40-15-0.152258",120,null,{"$f":"IF(B11=\"\",\"\",B11)","v":1},{"$f":"IF(D11=\"\",\"\",WLat_to_WNorth(C11,D11,$J$7))","v":3305644.5509522236},{"$f":"IF(D11=\"\",\"\",WLon_to_WEast(C11,D11,$J$7))","v":620718.76876298571},{"$f":"IF(E11=\"\",\"\",E11)","v":120}]
[null,2,"29-52-53.070374","39-00-00.93728",0,null,{"$f":"IF(B12=\"\",\"\",B12)","v":2},{"$f":"IF(D12=\"\",\"\",WLat_to_WNorth(C12,D12,$J$7))","v":3305644.5650793305},{"$f":"IF(D12=\"\",\"\",WLon_to_WEast(C12,D12,$J$7))","v":500025.14049353817},{"$f":"IF(E12=\"\",\"\",E12)","v":0}]
[null,null,null,null,null,null,"","","",""]
[null,null,null,null,null,null,"","","",""]
[null,null,null,null,null,null,"","","",""]
[null,null,null,null,null,null,"","","",""]
[null,null,null,null,null,null,"","","",""]
[null,null,null,null,null,null,"","","",""]
[null,null,null,null,null,null,"","","",""]
[null,null,null,null,null,null,"","","",""]
[null,null,null,null,null,null,"","","",""]
[null,null,null,null,null,null,"","","",""]
[null,null,null,null,null,null,"","","",""]
[null,null,null,null,null,null,"","","",""]
[null,null,null,null,null,null,"","","",""]
[null,null,null,null,null,null,"","","",""]
[null,null,null,null,null,null,"","","",""]
[null,null,null,null,null,null,"","","",""]
[null,null,null,null,null,null,"","","",""]
[null,null,null,null,null,null,"","","",""]

{"sheet":"Intersection","index":55,"n_rows":33,"n_cols":29,"rows_kept":33,"cut":false,"hidden":false,"merged":[[3,4,3,6],[3,10,3,12],[4,4,4,6],[4,10,4,12],[9,4,9,6],[9,10,9,12],[5,4,5,6],[5,10,5,12],[8,4,8,6],[8,10,8,12]]}
["Target Intersection Calculations"]
[null," "," "]
[null,null,null,null,null,"Station No:",null,null,null,null,null,"Station No:"]
[null,null,null,"Easting (m) ",null,null,null,null,null,"Easting (m) ",null,null,null,null,"Job No: ",null,null,null,null,null,"Rads","Deg"]
[null,null,null,"Northing (m) ",null,null,null,null,null,"Northing (m) ",null,null,null,null,"Job Title: ",null,null,null,null,"LRO",{"$f":"ATAN((LSE-LRE)/(LSN-LRN))","v":{"$error":"#DIV/0!"}},{"$f":"LRO*180/PI()","v":{"$error":"#DIV/0!"}}]
[null,null,null,"Height (m) ",null,null,null,null,null,"Height (m) ",null,null,null,null,"File: ",null,null,null,null,"RRO",{"$f":"ATAN((RSE-RRE)/(RSN-RRN))","v":{"$error":"#DIV/0!"}},{"$f":"RRO*180/PI()","v":{"$error":"#DIV/0!"}}]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,"Date: "]
[null,null,null,null,null,"RO Stn No:",null,null,null,null,null,"RO Stn No:",null,null,"Observer: ",null,null,null,null,null," "]
[null,null,null,"Easting (m) ",null,null,null,null,null,"Easting (m) ",null,null,null,null,"Assistant: "]
[null,null,null,"Northing (m) ",null,null,null,null,null,"Northing (m) ",null,null,null,null,"Instrument: "]
[null,null,null,null,null,null,null,null,null,null,null,null,null," "]
[" ",null,null,null,null,"Observations From Station:",{"$f":"IF(G3<>\"\",G3,\"\")","v":""},null,null,null,null,"Observations From Station:",{"$f":"IF(M3<>\"\",M3,\"\")","v":""},null,"Intersected Co-ordinates",null,"Skew",null,null,null,null,null,null," "]
["Point",null,"Horizontal Angle",null,null,"Vertical Angle",null,null,"Horizontal Angle",null,null,"Vertical Angle",null,"Easting","Northing","Height","Error",null,null," "," "," "," "]
["No.","Deg","Min","Sec","Deg","Min","Sec","Deg","Min","Sec","Deg","Min","Sec","(m)","(m)","(m)","(mm)",null,null,"LAZ","LVA","RAZ","RVA","LDIST","RDIST","LZ","RZ","MZ","DZ"]
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{"sheet":"bearing","index":56,"n_rows":7,"n_cols":9,"rows_kept":7,"cut":false,"hidden":false,"merged":[]}
[]
[null,"Point 1",null,"Point 2",null,"Bearing",null,"Bearing"]
[null,"Easting","Northing","Easting","Northing","Degrees","Deg","Min","Sec"]
[null,0,0,100,0,{"$f":"DEGREES(ATAN2(E4-C4,D4-B4))+IF(D4-B4<0,360)","v":90},{"$f":"INT(F4)","v":90},{"$f":"INT((F4-G4)*60)","v":0},{"$f":"((F4-G4)-(H4/60))*3600","v":0}]
[null,0,0,0,-100,{"$f":"DEGREES(ATAN2(E5-C5,D5-B5))+IF(D5-B5<0,360)","v":180},{"$f":"INT(F5)","v":180},{"$f":"INT((F5-G5)*60)","v":0},{"$f":"((F5-G5)-(H5/60))*3600","v":0}]
[null,0,0,-100,0,{"$f":"DEGREES(ATAN2(E6-C6,D6-B6))+IF(D6-B6<0,360)","v":270},{"$f":"INT(F6)","v":270},{"$f":"INT((F6-G6)*60)","v":0},{"$f":"((F6-G6)-(H6/60))*3600","v":0}]
[null,0,0,0,100,{"$f":"DEGREES(ATAN2(E7-C7,D7-B7))+IF(D7-B7<0,360)","v":0},{"$f":"INT(F7)","v":0},{"$f":"INT((F7-G7)*60)","v":0},{"$f":"((F7-G7)-(H7/60))*3600","v":0}]

{"sheet":"3Pts resection","index":57,"n_rows":29,"n_cols":11,"rows_kept":29,"cut":false,"hidden":false,"merged":[[4,3,4,4],[4,7,4,9],[5,7,5,9]]}
[]
[]
[]
[null,null,null,null,null,null,"USER INPUT"]
[null,null,null,"Coordinates",null,null,null,"False Reading"]
[null,null,null,"Northing","Easting",null,null,"Instrument Azimuth"]
[null,null,"Point A",2.847,5.1070000000000002,null,"Occ to A",0,0,0,{"$f":"ABS(H7)+(ABS(I7)/60)+ABS(J7)/3600","v":0}]
[null,null,"Point B",5.4450000000000003,6.6070000000000002,null,"Occ to B",120,0,0,{"$f":"ABS(H8)+(ABS(I8)/60)+ABS(J8)/3600","v":120}]
[null,null,"Point C",2.847,8.1069999999999993,null,"Occ to C",240,0,0,{"$f":"ABS(H9)+(ABS(I9)/60)+ABS(J9)/3600","v":240}]
[]
[]
[]
[]
[null,null,null,"Northing","Easting"]
[null,null,"Coordinates Occ.",{"$f":"((C27*D7)+(C28*D8)+(C29*D9))/(C27+C28+C29)","v":3.7208951094446543},{"$f":"((C27*E7)+(C28*E8)+(C29*E9))/(C27+C28+C29)","v":6.6070000000001325}]
[]
[null,"Line","Azim Inverse","Line","Angle"]
[null,"A-B",{"$f":"DEGREES(ATAN2(D8-D7,E8-E7))+IF(E8-E7<0,360)","v":30.000727780827372},"C-A-B",{"$f":"C19-C18","v":59.999272219172624}]
[null,"A-C",{"$f":"DEGREES(ATAN2(D9-D7,E9-E7))+IF(E9-E7<0,360)","v":90},"A-B-C",{"$f":"C23-C22","v":60.001455561654723}]
[null,"C-A",{"$f":"DEGREES(ATAN2(D7-D9,E7-E9))+IF(E7-E9<0,360)","v":270},"B-C-A",{"$f":"C21-C20","v":59.999272219172667}]
[null,"C-B",{"$f":"DEGREES(ATAN2(D8-D9,E8-E9))+IF(E8-E9<0,360)","v":329.99927221917267},"A-Occ-B",{"$f":"IF(K8-K7<0,360+K8-K7,K8-K7)","v":120}]
[null,"B-C",{"$f":"DEGREES(ATAN2(D9-D8,E9-E8))+IF(E9-E8<0,360)","v":149.99927221917264},"B-Occ-C",{"$f":"IF(K9-K8<0,360+K9-K8,K9-K8)","v":120}]
[null,"B-A",{"$f":"DEGREES(ATAN2(D7-D8,E7-E8))+IF(E7-E8<0,360)","v":210.00072778082736},"C-Occ-A",{"$f":"IF(K7-K9<0,360+K7-K9,K7-K9)","v":120}]
[]
[]
[]
[null,"K1=",{"$f":"1/(1/TAN(E18)-1/TAN(E22))","v":0.57797652278569978}]
[null,"K2=",{"$f":"1/(1/TAN(E19)-1/TAN(E23))","v":0.58591662189836236}]
[null,"K3=",{"$f":"1/(1/TAN(E20)-1/TAN(E21))","v":0.57797652278585387}]

{"sheet":"H-curve_bearing & station given","index":58,"n_rows":24,"n_cols":21,"rows_kept":24,"cut":false,"hidden":false,"merged":[[15,19,16,19],[17,0,17,17],[18,0,18,17],[19,0,19,17],[13,1,13,6],[14,1,14,6],[14,11,14,15],[15,11,15,15],[5,1,5,16],[11,11,11,15],[12,1,12,6],[12,11,12,15],[0,0,0,17],[2,1,2,16],[3,1,3,16],[4,1,4,16]]}
["Horizontal Curve Computations from Stationing"]
[]
["Project:","M-136 in St. Clair County"]
["Control Section:","77041, 77091"]
["Job number:","55662A",null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,{"$f":"IF(AND(B11=\"N\",I11=\"E\"),1,IF(AND(B11=\"S\",I11=\"E\"),2,IF(AND(B11=\"S\",I11=\"W\"),3,IF(AND(B11=\"N\",I11=\"W\"),4,\"NA\"))))","v":3},"<= Quadrant of Direction into the Curve"]
["Curve #:","Survey Centerline w/ PC=Sta 401+71.85",null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,{"$f":"IF(AND(B12=\"N\",I12=\"E\"),1,IF(AND(B12=\"S\",I12=\"E\"),2,IF(AND(B12=\"S\",I12=\"W\"),3,IF(AND(B12=\"N\",I12=\"W\"),4,\"NA\"))))","v":4},"<= Quadrant of Direction out of the Curve"]
[]
["Known Variables:",null,null,null,null,null,null,null,null,null,"Calculated Variables:"]
["Curve Deflection and Stationing:",null,null,null,null,null,null,null,null,null,"Variable Calculations:",null,null,null,null,null,null,null,{"$f":"L13*TAN(RADIANS(S16)/2)","v":258.00596866871024},"<= Calculated T Value"]
[]
["Bearing into the Curve:","S",60,null,51,"'",45,"\"","W",null,"∆ =",{"$f":"INT(S11)","v":53},"°",{"$f":"INT((S11-L11)*60)","v":30},"'",{"$f":"(S11-L11-N11/60)*3600","v":53.999999999950887},"\"",{"$f":"IF(S6-S5=1,\"Rt.\",IF(S6-S5=-1,\"Lt.\",IF(S6-S5=3,\"Lt.\",IF(S6-S5=-3,\"Rt.\",IF(AND(0<S13-S12,S13-S12<180),\"Rt.\",\"Lt.\")))))","v":"Rt."},{"$f":"IF(ABS(S5-S6)=1,ABS(S12-S13),IF(ABS(S5-S6)=3,360-ABS(S12-S13),IF(ABS(S12-S13)<180,ABS(S12-S13),360-ABS(S12-S13))))","v":53.514999999999986},"<= Delta (Deflection Angle of the Curve)",{"$f":"+C11+E11/60+G11/3600","v":60.862500000000004}]
["Bearing Out of the Curve:","N",65,"°",37,"'",21,"\"","W",null,"T =",{"$f":"+B14-B13","v":258},null,null,null,null,null,{"$f":"IF(ABS(L12-S9)<0.01,\"\",\"No Match\")","v":""},{"$f":"IF(S5=1,U11,IF(S5=2,180-U11,IF(S5=3,180+U11,360-U11)))","v":240.86250000000001},"<= Azmuth in Degrees into the Curve",{"$f":"+C12+E12/60+G12/3600","v":65.622499999999988}]
["P.C. =",40171.85,null,null,null,null,null,null,null,null,"R =",{"$f":"+L12/TAN(RADIANS(S11)/2)","v":511.69596056792045},null,null,null,null,null,null,{"$f":"IF(S6=1,U12,IF(S6=2,180-U12,IF(S6=3,180+U12,360-U12)))","v":294.3775},"<= Azmuth in Degrees out of the Curve"]
["P.I. =",{"$f":"+B13+258","v":40429.85},null,null,null,null,null,null,null,null,"D =",{"$f":"INT(S14)","v":11},"°",{"$f":"INT((S14-L14)*60)","v":11},"'",{"$f":"(S14-L14-N14/60)*3600","v":50.046569660431054},"\"",null,{"$f":"5729.58/L13","v":11.197235158239009},"<= Degree of Curve"]
["P.T. =",40649.79,null,null,null,null,null,null,null,null,"L =",{"$f":"+S11*L13/57.2958","v":477.93048233539378},null,null,null,null,null,{"$f":"IF(ABS(L15-S15)<0.01,\"\",\"No Match\")","v":""},{"$f":"+B15-B13","v":477.94000000000233},"<= Length of Curve from length from P.C. to P.T."]
[null,null,null,null,null,null,null,null,null,null,"E =",{"$f":"+L12*TAN(RADIANS(S11)/4)","v":61.363160345032824},null,null,null,null,null,null,{"$f":"+S15/L13*57.2958","v":53.51606571528778},"<= Calculated Deflection Angle (Should match Delta calculated from bearings into and out of the curve.)"]
["Input known variables in shaded boxes."]
["* If \"No Match\" appears beside the calculated length of curve, or the T Length, there is a bust in the data for this curve."]
["Use this spreadsheet to check curve data, or to calculate curve variables based upon the Bearings into and out of the Curve, and the known P.C., P.I., and P.T. Stations."]
["All units are English Units."]
[{"$f":"IF(OR(B11=\"N\",B11=\"S\"),\"\",\"Please make sure the bearing into the curve is either North or South\")","v":""}]
[{"$f":"IF(OR(B12=\"N\",B12=\"S\"),\"\",\"Please make sure the bearing out of the curve is either North or South\")","v":""}]
[{"$f":"IF(OR(I11=\"E\",I11=\"W\"),\"\",\"Please make sure the bearing into the curve is either East or West\")","v":""}]
[{"$f":"IF(OR(I12=\"E\",I12=\"W\"),\"\",\"Please make sure the bearing out of the curve is either East or West\")","v":""}]

{"sheet":"H-curve_delta,PC,Radius","index":59,"n_rows":21,"n_cols":19,"rows_kept":21,"cut":false,"hidden":false,"merged":[[19,0,19,16],[20,0,20,16],[13,1,13,5],[13,11,13,15],[15,11,15,15],[16,0,17,8],[16,11,16,15],[17,11,17,15],[9,0,9,7],[11,11,11,15],[12,1,12,5],[12,11,12,15],[18,0,18,8],[0,0,1,16],[3,5,3,13],[4,5,4,13],[5,5,5,13],[6,5,6,13]]}
["Horizontal Curve Computations from Curve Deflection Angle, and Radius"]
[]
[]
["Project:",null,null,null,null,"US-12 Lenawee & Washtenaw Co's."]
["Control Section:",null,null,null,null,"81031, 46101"]
["Job number:",null,null,null,null,"60172B"]
["Curve #:",null,null,null,null,"Proposed Curve at Sta 287+55.23"]
[]
["Known Variables:",null,null,null,null,null,null,null,null,null,"Calculated Variables:"]
["Curve Deflection; P.C., P.I., or P.T.; and Radius:",null,null,null,null,null,null,null,null,null,"Variable Calculations:"]
[]
["∆ =",2,"°",38,"'",48,"\"",null,null,null,"P.C. =",{"$f":"IF(A19=\"\",IF(OR(A13=\"PC\",A13=\"P.C.\"),B13,IF(OR(A13=\"PT\",A13=\"P.T.\"),+L14-L17,L13-L16)),\"NA\")","v":28347.97},null,null,null,null,null,{"$f":"+B12+D12/60+F12/3600","v":2.6466666666666665},"<= Delta (Deflection Angle of the Curve)"]
["PC",28347.97,null,null,null,null,null,null,null,null,"P.I. =",{"$f":"IF(A19=\"\",IF(OR(A13=\"PI\",A13=\"P.I.\"),B13,L12+L16),\"NA\")","v":28755.234134877275}]
["R =",17630,null,null,null,null,null,null,null,null,"P.T. =",{"$f":"IF(A19=\"\",IF(OR(A13=\"PT\",A13=\"P.T.\"),B13,L12+L17),\"NA\")","v":29162.35313686751}]
[null,null,null,null,null,null,null,null,null,null,"D =",{"$f":"INT(R15)","v":0},"°",{"$f":"INT((R15-L15)*60)","v":19},"'",{"$f":"(R15-L15-N15/60)*3600","v":29.965286443562135},"\"",{"$f":"5729.58/B14","v":0.32499035734543391},"<= Degree of Curvature"]
["Input known variables in shaded boxes.",null,null,null,null,null,null,null,null,null,"T =",{"$f":"B14*TAN(RADIANS(R12)/2)","v":407.26413487727518}]
["Input whether the station used is the P.C., the P.I., or the P.T.",null,null,null,null,null,null,null,null,null,"L =",{"$f":"R12*B14/57.2958","v":814.38313686750735}]
[null,null,null,null,null,null,null,null,null,null,"E =",{"$f":"+L16*TAN(RADIANS(R12)/4)","v":4.7034019729783312}]
[{"$f":"IF(OR(A13=\"PC\",A13=\"P.C.\",A13=\"PI\",A13=\"P.I.\",A13=\"PT\",A13=\"P.T.\"),\"\",\"Please enter whether the Station used is the P.C., P.I., or the P.T.\")","v":""}]
["Use this spreadsheet to calculate curve variables based upon the Deflection Angle (∆), the Station of the P.C., P.I., or the P.T. and the Radius of the Curve."]
["All units are English Units."]

{"sheet":"H-curve_coordinates & station","index":60,"n_rows":21,"n_cols":27,"rows_kept":21,"cut":false,"hidden":false,"merged":[[19,0,19,23],[20,0,20,23],[16,25,17,27],[17,7,17,11],[18,0,18,4],[18,25,18,27],[12,7,12,11],[13,7,13,11],[14,7,14,11],[15,0,16,4],[16,7,16,11],[10,7,10,11],[10,16,10,19],[11,7,11,11],[5,3,5,15],[8,0,8,4],[8,6,8,13],[9,1,9,2],[0,0,0,23],[2,3,2,15],[3,3,3,15],[4,3,4,15],[9,16,9,19]]}
["Horizontal Curve Calculations from Coordinates"]
[]
["Project:",null,null,"US-12 City of Wayne"]
["Control Section:",null,null,82061]
["Job number:",null,null,"60447B",null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,{"$f":"IF(AND(Q13=\"N\",X13=\"E\"),1,IF(AND(Q13=\"S\",X13=\"E\"),2,IF(AND(Q13=\"S\",X13=\"W\"),3,IF(AND(Q13=\"N\",X13=\"W\"),4,\"NA\"))))","v":1},"<= Quadrant of Direction into the Curve"]
["Curve #:",null,null,"Const Cntl. Curve @ Sta 40+96.36",null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,{"$f":"IF(AND(Q14=\"N\",X14=\"E\"),1,IF(AND(Q14=\"S\",X14=\"E\"),2,IF(AND(Q14=\"S\",X14=\"W\"),3,IF(AND(Q14=\"N\",X14=\"W\"),4,\"NA\"))))","v":1},"<= Quadrant of Direction into the Curve"]
[]
["Known Variables:",null,null,null,null,null,"Calculated Variables:"]
["Station of P.C., P.I., or P.T.; and P.C., P.I., and P.T. Coordinates:",null,null,null,null,null,"Curve Data:",null,null,null,null,null,null,null,null,"Distances:"]
["pc",10796,null,null,null,null,"∆ =",{"$f":"INT(Y10)","v":4},"°",{"$f":"INT((Y10-H10)*60)","v":21},"'",{"$f":"(Y10-H10-J10/60)*3600","v":50.644245598661051},"\"",{"$f":"IF(Y6-Y5=1,\"Rt.\",IF(Y6-Y5=-1,\"Lt.\",IF(Y6-Y5=3,\"Lt.\",IF(Y6-Y5=-3,\"Rt.\",IF(AND(0<Y14-Y13,Y14-Y13<180),\"Rt.\",\"Lt.\")))))","v":"Lt."},null,"P.C. to P.I. =",{"$f":"SQRT((E13-E12)^2+(C13-C12)^2)","v":593.78769690695617},null,null,null,null,null,null,null,{"$f":"IF(ABS(Y5-Y6)=1,ABS(Y13-Y14),IF(ABS(Y5-Y6)=3,360-ABS(Y13-Y14),IF(ABS(Y13-Y14)<180,ABS(Y13-Y14),360-ABS(Y13-Y14))))","v":4.364067845999628},"° <= Delta Angle"]
["P.C., P.I., & P.T. Coordinates",null,null,null,null,null,"P.C. =",{"$f":"IF(A19=\"\",IF(OR(A10=\"PC\",A10=\"P.C.\"),B10,IF(OR(A10=\"PT\",A10=\"P.T.\"),+H13-H17,H12-H14)),\"NA\")","v":10796},null,null,null,null,null,null,null,"P.I. to P.T. =",{"$f":"SQRT((E14-E13)^2+(C14-C13)^2)","v":593.78751031060335},null,null,null,{"$f":"IF(ABS(Q10-Q11)<0.01,\"\", \"No Match\")","v":""}]
["P.C.","N =",203571.17,"E =",13159021.550000001,null,"P.I. =",{"$f":"IF(A19=\"\",IF(OR(A10=\"PI\",A10=\"P.I.\"),B10,H11+H14),\"NA\")","v":11389.787696906957},null,null,null,null,null,null,null,"Bearings of Approaches to Curve:"]
["P.I.","N =",203646.5,"E =",13159610.539999999,null,"P.T. =",{"$f":"IF(A19=\"\",IF(OR(A10=\"PT\",A10=\"P.T.\"),B10,H11+H17),\"NA\")","v":11983.001198474207},null,null,null,null,null,null,null,"P.C. to P.I. =",{"$f":"IF(C13>C12,\"N\",\"S\")","v":"N"},{"$f":"INT(AA13)","v":82},"°",{"$f":"INT((AA13-R13)*60)","v":42},"'",{"$f":"(AA13-R13-T13/60)*3600","v":41.814980593482161},"\"",{"$f":"IF(E13>E12,\"E\",\"W\")","v":"E"},{"$f":"IF(Y5=1,AA13,IF(Y5=2,180-AA13,IF(Y5=3,180+AA13,360-AA13)))","v":82.711615272387078},"<= Azmuth in Degrees into the Curve",{"$f":"ABS(DEGREES(ATAN((E13-E12)/(C13-C12))))","v":82.711615272387078}]
["P.T.","N =",203766.43,"E =",13160192.09,null,"T =",{"$f":"+Q10","v":593.78769690695617},null,null,null,null,null,null,null,"P.I. to P.T. =",{"$f":"IF(C14>C13,\"N\",\"S\")","v":"N"},{"$f":"INT(AA14)","v":78},"°",{"$f":"INT((AA14-R14)*60)","v":20},"'",{"$f":"(AA14-R14-T14/60)*3600","v":51.170734994821096},"\"",{"$f":"IF(E14>E13,\"E\",\"W\")","v":"E"},{"$f":"IF(Y6=1,AA14,IF(Y6=2,180-AA14,IF(Y6=3,180+AA14,360-AA14)))","v":78.34754742638745},"<= Azmuth in Degrees out of the Curve",{"$f":"ABS(DEGREES(ATAN((E14-E13)/(C14-C13))))","v":78.34754742638745}]
[null,null,null,null,null,null,"R =",{"$f":"+H14/TAN(Y10*PI()/360)","v":15584.120446680252}]
["Input whether the station used is the P.C., the P.I., or the P.T.",null,null,null,null,null,"D =",{"$f":"INT(Y16)","v":0},"°",{"$f":"INT((Y16-H16)*60)","v":22},"'",{"$f":"(Y16-H16-J16/60)*3600","v":3.5580455484659268},"\"",null,null,null,null,null,null,null,null,null,null,null,{"$f":"5729.58/H15","v":0.36765501265235162},"° <= Degree of Curve"]
[null,null,null,null,null,null,"L =",{"$f":"PI()*Y10*H15/180","v":1187.0011984742073}]
[null,null,null,null,null,null,"E =",{"$f":"+H14*TAN(RADIANS(Y10)/4)","v":11.308176016706899}]
[{"$f":"IF(OR(A10=\"PC\",A10=\"P.C.\",A10=\"PI\",A10=\"P.I.\",A10=\"PT\",A10=\"P.T.\"),\"\",\"Please enter whether the Station used is the P.C., P.I., or the P.T.\")","v":""}]
["If the Distances from the P.C. to the P.I. and from the P.I. to the P.T. do not match, you will receive a warning next to the Distance from P.I. to P.T. that states \"No Match\"."]
["Use this spreadsheet to check curve data, or to calculate curve variables based upon the Coordinates of the P.C., P.I., and P.T."]

{"sheet":"H-curve_delta,direction,PC & PT","index":61,"n_rows":23,"n_cols":22,"rows_kept":23,"cut":false,"hidden":false,"merged":[[22,0,22,17],[16,11,16,15],[17,0,18,8],[17,19,18,22],[19,19,20,22],[20,0,20,8],[13,11,13,15],[14,2,14,6],[15,2,15,6],[15,11,15,15],[10,11,10,15],[11,11,11,15],[12,1,12,4],[12,11,12,15],[5,6,5,16],[8,0,9,8],[8,10,8,17],[9,11,9,15],[0,0,0,17],[2,6,2,16],[3,6,3,16],[4,6,4,16]]}
["Horizontal Curve Calculations from P.C. & P.T. Coordinates and the Curve Deflection Angle"]
[]
["Project:"]
["Control Section:"]
["Job number:"]
["Curve #:"]
[]
["Known Variables:",null,null,null,null,null,null,null,null,null,"Calculated Variables:"]
["Curve Deflection Angle; Station of P.C., P.I., or P.T.; and P.C. & P.T. Coordinates",null,null,null,null,null,null,null,null,null,"Curve Data:"]
[null,null,null,null,null,null,null,null,null,null,"P.C. =",{"$f":"IF(A21=\"\",IF(OR(A13=\"PC\",A13=\"P.C.\"),B13,IF(OR(A13=\"PT\",A13=\"P.T.\"),+L12-L16,L11-L13)),\"NA\")","v":2444.34},null,null,null,null,null,null,{"$f":"SQRT((C16-C15)^2+(I16-I15)^2)","v":64989.889403014888},"<= Length of Chord"]
["∆ =",6,"°",27,"'",9,"\"",null,null,null,"P.I. =",{"$f":"IF(A21=\"\",IF(OR(A13=\"PI\",A13=\"P.I.\"),B13,L10+L13),\"NA\")","v":34990.868187646018},null,null,null,null,null,null,{"$f":"+B11+D11/60+F11/3600","v":6.4525000000000006},"° <= Delta Angle"]
["Curve Direction (Lt. or Rt.?)",null,null,null,null,null,null,null,"Rt",null,"P.T. =",{"$f":"IF(A21=\"\",IF(OR(A13=\"PT\",A13=\"P.T.\"),B13,L10+L16),\"NA\")","v":67468.585671836277},null,null,null,null,null,null,{"$f":"90-S11/2","v":86.773750000000007},"° <= Angle of inside Chord"]
["PC",2444.34,null,null,null,null,null,null,null,null,"T =",{"$f":"+L14*TAN(RADIANS(S11)/2)","v":32546.528187646021},null,null,null,null,null,null,{"$f":"+S11/2","v":3.2262500000000003},"° <= Angle of outside Chord"]
["P.C., P.I., & P.T. Coordinates",null,null,null,null,null,null,null,null,null,"R =",{"$f":"+S10/SQRT((1-COS(RADIANS(S11)))*2)","v":577390.9094177495},null,null,null,null,null,null,{"$f":"DEGREES(ATAN((I16-I15)/(C16-C15)))","v":89.969178889719885},"° <= Bearing Angle of the Arc Chord",{"$f":"ABS(S14)","v":89.969178889719885}]
["P.C.","N =",286300,null,null,null,null,"E =",13321260.449999999,null,"D =",{"$f":"INT(S16)","v":0},"°",{"$f":"INT((S16-L15)*60)","v":0},"'",{"$f":"(S16-L15-N15/60)*3600","v":35.723610579182989},"\"",null,{"$f":"IF(OR(AND(OR(S17=1,S17=3),OR(I12=\"Lt.\",I12=\"Lt\")),AND(OR(S17=2,S17=4),OR(I12=\"Rt.\",I12=\"Rt\"))),S14+S13,S14-S13)","v":86.742928889719877},"° <= Bearing Angle from P.C. to P.I.",{"$f":"IF(ABS(S15)>90,180-ABS(S15),ABS(S15))","v":86.742928889719877},{"$f":"IF(U15=S15,1,0)","v":1}]
["P.T.","N =",286334.96000000002,null,null,null,null,"E =",13386250.33,null,"L =",{"$f":"PI()*S11*L14/180","v":65024.245671836274},null,null,null,null,null,null,{"$f":"5729.58/L14","v":9.9232251608841627E-3},"° <= Degree of Curve",null,{"$f":"IF(U15>90,0,1)","v":1}]
[null,null,null,null,null,null,null,null,null,null,"E =",{"$f":"+L13*TAN(RADIANS(S11)/4)","v":916.56829227029777},null,null,null,null,null,null,{"$f":"IF(AND(K19=\"N\",R19=\"E\"),1,IF(AND(K19=\"N\",R19=\"W\"),4,IF(AND(K19=\"S\",R19=\"E\"),2,3)))","v":1},"<= Quadrant of the Curve Chord"]
["Input whether the station used is the P.C., the P.I., or the P.T.",null,null,null,null,null,null,null,null,null,"Bearing of Arc Chord:"]
[null,null,null,null,null,null,null,null,null,null,{"$f":"IF(C16>C15,\"N\",\"S\")","v":"N"},{"$f":"INT(U14)","v":89},"°",{"$f":"INT((U14-L19)*60)","v":58},"'",{"$f":"(U14-L19-N19/60)*3600","v":9.0440029915850761},"\"",{"$f":"IF(I16>I15,\"E\",\"W\")","v":"E"}]
[]
[{"$f":"IF(OR(A13=\"PC\",A13=\"P.C.\",A13=\"PI\",A13=\"P.I.\",A13=\"PT\",A13=\"P.T.\"),\"\",\"Please enter whether the Station used is the P.C., P.I., or the P.T.\")","v":""}]
[{"$f":"IF(OR(I12=\"Lt.\",I12=\"Lt\",I12=\"Rt.\",I12=\"Rt\"),\"\",\"Enter whether the curve is to the Right or to the Left.\")","v":""}]
["Use this spreadsheet to check curve data, or to calculate curve variables based upon the Curve Deflection Angle and the Coordinates of the P.C. & P.T."]

{"sheet":"spiral offset staking","index":62,"n_rows":39,"n_cols":14,"rows_kept":39,"cut":false,"hidden":false,"merged":[[13,4,16,7]]}
[]
[]
[null,"L.S. =",275]
[null,"Dc (dec.) =",10,null,"NOTE: DO NOT EDIT HIGHLIGHTED BOLD ENTRIES"]
[null,"Rc =",{"$f":"(5729.578/C4)","v":572.95780000000002}]
[null,"Theta s =",{"$f":"(C3*C4)/200","v":13.75},null,"Theta s (radians) =",null,{"$f":"(C6*(PI()/180))","v":0.23998277214922031}]
[null,"Xs =",{"$f":"(C3*(1-((G6^2)/10)+((G6^4)/216)))","v":273.42045018675822}]
[null,"Ys=",{"$f":"(C3*((G6/3)-(G6^3)/42))","v":21.907925985314343},null,"Pavement Width (feet) =",null,25]
[null,"Long Ch.=",{"$f":"SQRT((C7*C7)+(C8*C8))","v":274.29673676751526},null,"Number of lanes =",null,2]
[null,"Short tan.=",{"$f":"(C8/SIN(G6))","v":92.171755634745011},null,"Individual lane width =",null,{"$f":"(G8/G9)","v":12.5}]
[null,"Long tan.=",{"$f":"(C7-(C10*(COS(G6))))","v":183.89014629018286},null,"Offset from E.P. =",null,3]
[null,"Sta. T.S.=",500,null,"Total Offset from  C/L =",null,{"$f":"G10+G11","v":15.5}]
[null,"Sta. S.C.=",{"$f":"(C12+C3)","v":775}]
[null,null,null,null,"The deflection (Phi) angle is from a line parallel with centerline tangent and at the same offset distance from centerline as the stakes to be set."]
[]
[]
[]
["STATION","L","Q","Ø","Phi, deg.","min.","sec.","x","y","Chord Length",null,null,"Chord Length"]
[null,null,"Decimal Deg.","Decimal Deg.",null,null,null,null,null,"Centerline","Curve Increment.","Diff. Increment.","Inside","Outside"]
[{"$f":"C12","v":500},0,{"$f":"((B20/$C$3)*(B20/$C$3))*$C$6","v":0},{"$f":"C20/3","v":0},{"$f":"TRUNC(D20)","v":0},{"$f":"TRUNC((D20-E20)*60)","v":0},{"$f":"ROUND((((D20-E20)*60)-F20)*60,0)","v":0},{"$f":"(B20*(1-((C20*(PI()/180)*(C20*PI()/180))/10)))","v":0},{"$f":"(B20*(C20*(PI()/180)/3))","v":0},{"$f":"SQRT(((H20-H19)*(H20-H19))+((I20-I19)*(I20-I19)))","v":0},{"$f":"PI()/180*(C20*$G$12*((B20/$C$3)^2))","v":0}]
[525,{"$f":"A21-A20","v":25},0.11363636363636365,3.787878787878788E-2,0,2,16,24.999990166018215,1.6527739128734183E-2,24.999995629342983,{"$f":"(PI()/180)*($C$6*$G$12*((B21/$C$3)^2))","v":3.0741594779445578E-2},{"$f":"K21-K20","v":3.0741594779445578E-2},{"$f":"J21-L21","v":24.969254034563537},{"$f":"J21+L21","v":25.030737224122429}]
[{"$f":"IF(A21+25<=$C$13,A21+25,$C$13)","v":550},{"$f":"A22-A20","v":50},0.45454545454545459,0.15151515151515152,0,9,5,49.999685312582862,0.13222191302987346,24.999962851233253,0.12296637911778231,9.2224784338336738E-2,24.907738066894915,25.092187635571591]
[{"$f":"IF(A22+25<=$C$13,A22+25,$C$13)","v":575},{"$f":"B22+A23-A22","v":75},1.0227272727272725,0.34090909090909083,0,20,27,74.997610342426128,0.4462489564758228,24.999897375422961,0.27667435301501014,0.15370797389722785,24.846189401525734,25.153605349320188]
[600,100,1.8181818181818183,0.60606060606060608,0,36,22,99.98993000265169,1.0577753042389877,24.999800128659142,0.49186551647112925,0.21519116345611911,24.784608965203024,25.214991292115261]
[625,125,2.8409090909090908,0.94696969696969691,0,56,49,124.96926880692041,2.0659673910917724,24.999676365553967,0.76853986948613939,0.27667435301501014,24.723002012538956,25.276350718568978]
[650,150,4.0909090909090899,1.3636363636363633,1,21,49,149.92353095763619,3.5699916518065824,24.99954576514271,1.1066974120600406,0.33815754257390118,24.66138822256881,25.337703307716609]
[675,175,5.5681818181818183,1.8560606060606062,1,51,22,174.8347202681316,5.669014521155824,24.999464991663164,1.5063381441928332,0.39964073213279261,24.599824259530372,25.399105723795955]
[700,200,7.2727272727272734,2.4242424242424243,2,25,27,199.67776008485373,8.4622024339119015,24.999570517335044,1.967462065884517,0.46112392169168381,24.538446595643361,25.460694439026728]
[725,225,9.2045454545454568,3.0681818181818188,3,4,5,224.41931320954981,12.048721824847222,25.000151446815547,2.490069177135092,0.52260711125057502,24.477544335564971,25.522758558066123]
[750,250,11.363636363636363,3.7878787878787876,3,47,16,249.01660182145301,16.527739128734179,25.001763999081774,3.0741594779445576,0.58409030080946556,24.41767369827231,25.585854299891238]
[775,275,13.75,4.583333333333333,4,35,0,273.41622739946831,21.998420780345196,25.00540113816637,3.7197329683129148,0.64557349036835721,24.359827647798014,25.650974628534726]
[775,275,13.75,4.583333333333333,4,35,0,273.41622739946831,21.998420780345196,0,3.7197329683129148,0,0,0]
[775,275,13.75,4.583333333333333,4,35,0,273.41622739946831,21.998420780345196,0,3.7197329683129148,0,0,0]
[775,275,13.75,4.583333333333333,4,35,0,273.41622739946831,21.998420780345196,0,3.7197329683129148,0,0,0]
[775,275,13.75,4.583333333333333,4,35,0,273.41622739946831,21.998420780345196,0,3.7197329683129148,0,0,0]
[775,275,13.75,4.583333333333333,4,35,0,273.41622739946831,21.998420780345196,0,3.7197329683129148,0,0,0]
[775,275,13.75,4.583333333333333,4,35,0,273.41622739946831,21.998420780345196,0,3.7197329683129148,0,0,0]
[775,275,13.75,4.583333333333333,4,35,0,273.41622739946831,21.998420780345196,0,3.7197329683129148,0,0,0]
[775,275,13.75,4.583333333333333,4,35,0,273.41622739946831,21.998420780345196,0,3.7197329683129148,0,0,0]