Coordinate Frame rotation (geog2D domain)
Info source also gives a separate reverse tfm with slightly different parameter values. Given the tfm accuracy these differences are not significant and this tfm can be considered reversible.
Geodetska uprava Republike Slovenije, http://www.gu.gov.si
2009-03-12
metre
EPSG
Agency for Real Estate Cadastre (AREC), www.katastar.gov.mk
2022-03-18
Cadastre.
Macedonia State Coordinate System (CRS code 6204) with northing reduced by 4 million. Cadastral data from AREC may be delivered in this CRS.
Cartesian 2D CS. Axes: easting, northing (Y,X). Orientations: east, north. UoM: m.
42060.69 1101930.29
-8720.97 1075161.3
92478.05 1129087.27
14.47 45.7
15.73 46.12
Definition: OGC Well Known Text
PROJCS["Macedonia State Coordinate System truncated", GEOGCS["MGI 1901", DATUM["MGI_1901", SPHEROID["Bessel 1841",6377397.155,299.1528128], TOWGS84[468.63,81.389,445.221,-3.839242,-3.262525,10.566866,16.132726]], PRIMEM["Greenwich",0, AUTHORITY["EPSG","8901"]], UNIT["degree",0.0174532925199433, AUTHORITY["EPSG","9122"]], AUTHORITY["EPSG","3906"]], PROJECTION["Transverse_Mercator"], PARAMETER["latitude_of_origin",0], PARAMETER["central_meridian",21], PARAMETER["scale_factor",0.9999], PARAMETER["false_easting",500000], PARAMETER["false_northing",-4000000], UNIT["metre",1, AUTHORITY["EPSG","9001"]], AXIS["Easting",EAST], AXIS["Northing",NORTH], AUTHORITY["EPSG","9945"]]
Definition: OGC Well Known Text 2 (2019)
BOUNDCRS[ SOURCECRS[ PROJCRS["Macedonia State Coordinate System truncated", BASEGEOGCRS["MGI 1901", DATUM["MGI 1901", ELLIPSOID["Bessel 1841",6377397.155,299.1528128, LENGTHUNIT["metre",1]]], PRIMEM["Greenwich",0, ANGLEUNIT["degree",0.0174532925199433]], ID["EPSG",3906]], CONVERSION["Macedonia Gauss-Kruger truncated", METHOD["Transverse Mercator", ID["EPSG",9807]], PARAMETER["Latitude of natural origin",0, ANGLEUNIT["degree",0.0174532925199433], ID["EPSG",8801]], PARAMETER["Longitude of natural origin",21, ANGLEUNIT["degree",0.0174532925199433], ID["EPSG",8802]], PARAMETER["Scale factor at natural origin",0.9999, SCALEUNIT["unity",1], ID["EPSG",8805]], PARAMETER["False easting",500000, LENGTHUNIT["metre",1], ID["EPSG",8806]], PARAMETER["False northing",-4000000, LENGTHUNIT["metre",1], ID["EPSG",8807]]], CS[Cartesian,2], AXIS["easting (Y)",east, ORDER[1], LENGTHUNIT["metre",1]], AXIS["northing (X)",north, ORDER[2], LENGTHUNIT["metre",1]], USAGE[ SCOPE["Cadastre."], AREA["North Macedonia."], BBOX[40.85,20.45,42.36,23.04]], ID["EPSG",9945]]], TARGETCRS[ GEOGCRS["WGS 84", ENSEMBLE["World Geodetic System 1984 ensemble", MEMBER["World Geodetic System 1984 (Transit)"], MEMBER["World Geodetic System 1984 (G730)"], MEMBER["World Geodetic System 1984 (G873)"], MEMBER["World Geodetic System 1984 (G1150)"], MEMBER["World Geodetic System 1984 (G1674)"], MEMBER["World Geodetic System 1984 (G1762)"], MEMBER["World Geodetic System 1984 (G2139)"], ELLIPSOID["WGS 84",6378137,298.257223563, LENGTHUNIT["metre",1]], ENSEMBLEACCURACY[2.0]], PRIMEM["Greenwich",0, ANGLEUNIT["degree",0.0174532925199433]], CS[ellipsoidal,2], AXIS["geodetic latitude (Lat)",north, ORDER[1], ANGLEUNIT["degree",0.0174532925199433]], AXIS["geodetic longitude (Lon)",east, ORDER[2], ANGLEUNIT["degree",0.0174532925199433]], USAGE[ SCOPE["Horizontal component of 3D system."], AREA["World."], BBOX[-90,-180,90,180]], ID["EPSG",4326]]], ABRIDGEDTRANSFORMATION["Transformation from unknown to WGS84", METHOD["Position Vector transformation (geog2D domain)", ID["EPSG",9606]], PARAMETER["X-axis translation",468.63, ID["EPSG",8605]], PARAMETER["Y-axis translation",81.389, ID["EPSG",8606]], PARAMETER["Z-axis translation",445.221, ID["EPSG",8607]], PARAMETER["X-axis rotation",-3.839242, ID["EPSG",8608]], PARAMETER["Y-axis rotation",-3.262525, ID["EPSG",8609]], PARAMETER["Z-axis rotation",10.566866, ID["EPSG",8610]], PARAMETER["Scale difference",1.000016132726, ID["EPSG",8611]]]]
Definition: ESRI Well Known Text
PROJCS["Macedonia_State_Coordinate_System_truncated", GEOGCS["GCS_MGI_1901", DATUM["D_MGI_1901", SPHEROID["Bessel_1841",6377397.155,299.1528128]], PRIMEM["Greenwich",0.0], UNIT["Degree",0.0174532925199433]], PROJECTION["Transverse_Mercator"], PARAMETER["False_Easting",500000.0], PARAMETER["False_Northing",-4000000.0], PARAMETER["Central_Meridian",21.0], PARAMETER["Scale_Factor",0.9999], PARAMETER["Latitude_Of_Origin",0.0], UNIT["Meter",1.0]]
Definition: JSON
{ "$schema": "https://proj.org/schemas/v0.7/projjson.schema.json", "type": "BoundCRS", "source_crs": { "type": "ProjectedCRS", "name": "Macedonia State Coordinate System truncated", "base_crs": { "name": "MGI 1901", "datum": { "type": "GeodeticReferenceFrame", "name": "MGI 1901", "ellipsoid": { "name": "Bessel 1841", "semi_major_axis": 6377397.155, "inverse_flattening": 299.1528128 } }, "coordinate_system": { "subtype": "ellipsoidal", "axis": [ { "name": "Geodetic latitude", "abbreviation": "Lat", "direction": "north", "unit": "degree" }, { "name": "Geodetic longitude", "abbreviation": "Lon", "direction": "east", "unit": "degree" } ] }, "id": { "authority": "EPSG", "code": 3906 } }, "conversion": { "name": "Macedonia Gauss-Kruger truncated", "method": { "name": "Transverse Mercator", "id": { "authority": "EPSG", "code": 9807 } }, "parameters": [ { "name": "Latitude of natural origin", "value": 0, "unit": "degree", "id": { "authority": "EPSG", "code": 8801 } }, { "name": "Longitude of natural origin", "value": 21, "unit": "degree", "id": { "authority": "EPSG", "code": 8802 } }, { "name": "Scale factor at natural origin", "value": 0.9999, "unit": "unity", "id": { "authority": "EPSG", "code": 8805 } }, { "name": "False easting", "value": 500000, "unit": "metre", "id": { "authority": "EPSG", "code": 8806 } }, { "name": "False northing", "value": -4000000, "unit": "metre", "id": { "authority": "EPSG", "code": 8807 } } ] }, "coordinate_system": { "subtype": "Cartesian", "axis": [ { "name": "Easting", "abbreviation": "Y", "direction": "east", "unit": "metre" }, { "name": "Northing", "abbreviation": "X", "direction": "north", "unit": "metre" } ] }, "id": { "authority": "EPSG", "code": 9945 } }, "target_crs": { "type": "GeographicCRS", "name": "WGS 84", "datum_ensemble": { "name": "World Geodetic System 1984 ensemble", "members": [ { "name": "World Geodetic System 1984 (Transit)", "id": { "authority": "EPSG", "code": 1166 } }, { "name": "World Geodetic System 1984 (G730)", "id": { "authority": "EPSG", "code": 1152 } }, { "name": "World Geodetic System 1984 (G873)", "id": { "authority": "EPSG", "code": 1153 } }, { "name": "World Geodetic System 1984 (G1150)", "id": { "authority": "EPSG", "code": 1154 } }, { "name": "World Geodetic System 1984 (G1674)", "id": { "authority": "EPSG", "code": 1155 } }, { "name": "World Geodetic System 1984 (G1762)", "id": { "authority": "EPSG", "code": 1156 } }, { "name": "World Geodetic System 1984 (G2139)", "id": { "authority": "EPSG", "code": 1309 } } ], "ellipsoid": { "name": "WGS 84", "semi_major_axis": 6378137, "inverse_flattening": 298.257223563 }, "accuracy": "2.0", "id": { "authority": "EPSG", "code": 6326 } }, "coordinate_system": { "subtype": "ellipsoidal", "axis": [ { "name": "Geodetic latitude", "abbreviation": "Lat", "direction": "north", "unit": "degree" }, { "name": "Geodetic longitude", "abbreviation": "Lon", "direction": "east", "unit": "degree" } ] }, "id": { "authority": "EPSG", "code": 4326 } }, "transformation": { "name": "Transformation from unknown to WGS84", "method": { "name": "Position Vector transformation (geog2D domain)", "id": { "authority": "EPSG", "code": 9606 } }, "parameters": [ { "name": "X-axis translation", "value": 468.63, "unit": "metre", "id": { "authority": "EPSG", "code": 8605 } }, { "name": "Y-axis translation", "value": 81.389, "unit": "metre", "id": { "authority": "EPSG", "code": 8606 } }, { "name": "Z-axis translation", "value": 445.221, "unit": "metre", "id": { "authority": "EPSG", "code": 8607 } }, { "name": "X-axis rotation", "value": -3.839242, "unit": { "type": "AngularUnit", "name": "arc-second", "conversion_factor": 4.84813681109536e-06 }, "id": { "authority": "EPSG", "code": 8608 } }, { "name": "Y-axis rotation", "value": -3.262525, "unit": { "type": "AngularUnit", "name": "arc-second", "conversion_factor": 4.84813681109536e-06 }, "id": { "authority": "EPSG", "code": 8609 } }, { "name": "Z-axis rotation", "value": 10.566866, "unit": { "type": "AngularUnit", "name": "arc-second", "conversion_factor": 4.84813681109536e-06 }, "id": { "authority": "EPSG", "code": 8610 } }, { "name": "Scale difference", "value": 16.132726, "unit": { "type": "ScaleUnit", "name": "parts per million", "conversion_factor": 1e-06 }, "id": { "authority": "EPSG", "code": 8611 } } ] } }
Definition: GeoServer
9945=PROJCS["Macedonia State Coordinate System truncated",GEOGCS["MGI 1901",DATUM["MGI_1901",SPHEROID["Bessel 1841",6377397.155,299.1528128],TOWGS84[468.63,81.389,445.221,-3.839242,-3.262525,10.566866,16.132726]],PRIMEM["Greenwich",0,AUTHORITY["EPSG","8901"]],UNIT["degree",0.0174532925199433,AUTHORITY["EPSG","9122"]],AUTHORITY["EPSG","3906"]],PROJECTION["Transverse_Mercator"],PARAMETER["latitude_of_origin",0],PARAMETER["central_meridian",21],PARAMETER["scale_factor",0.9999],PARAMETER["false_easting",500000],PARAMETER["false_northing",-4000000],UNIT["metre",1,AUTHORITY["EPSG","9001"]],AXIS["Easting",EAST],AXIS["Northing",NORTH],AUTHORITY["EPSG","9945"]]
Definition: Mapnik
<?xml version="1.0" encoding="utf-8"?> <Map srs="+proj=tmerc +lat_0=0 +lon_0=21 +k=0.9999 +x_0=500000 +y_0=-4000000 +ellps=bessel +towgs84=468.63,81.389,445.221,-3.839242,-3.262525,10.566866,16.132726 +units=m +no_defs +type=crs"> <Layer srs="+proj=tmerc +lat_0=0 +lon_0=21 +k=0.9999 +x_0=500000 +y_0=-4000000 +ellps=bessel +towgs84=468.63,81.389,445.221,-3.839242,-3.262525,10.566866,16.132726 +units=m +no_defs +type=crs"> </Layer> </Map>
Definition: SQL (PostGIS)
INSERT into spatial_ref_sys (srid, auth_name, auth_srid, proj4text, srtext) values ( 9945, 'EPSG', 9945, '+proj=tmerc +lat_0=0 +lon_0=21 +k=0.9999 +x_0=500000 +y_0=-4000000 +ellps=bessel +towgs84=468.63,81.389,445.221,-3.839242,-3.262525,10.566866,16.132726 +units=m +no_defs +type=crs', 'PROJCS["Macedonia State Coordinate System truncated",GEOGCS["MGI 1901",DATUM["MGI_1901",SPHEROID["Bessel 1841",6377397.155,299.1528128],TOWGS84[468.63,81.389,445.221,-3.839242,-3.262525,10.566866,16.132726]],PRIMEM["Greenwich",0,AUTHORITY["EPSG","8901"]],UNIT["degree",0.0174532925199433,AUTHORITY["EPSG","9122"]],AUTHORITY["EPSG","3906"]],PROJECTION["Transverse_Mercator"],PARAMETER["latitude_of_origin",0],PARAMETER["central_meridian",21],PARAMETER["scale_factor",0.9999],PARAMETER["false_easting",500000],PARAMETER["false_northing",-4000000],UNIT["metre",1,AUTHORITY["EPSG","9001"]],AXIS["Easting",EAST],AXIS["Northing",NORTH],AUTHORITY["EPSG","9945"]]');