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Geodetic CRS: MGI 1901
Datum: MGI 1901
Ellipsoid: Bessel 1841
Prime meridian: Greenwich
Data source: EPSG
Information source: Agency for Real Estate Cadastre, www.katastar.gov.mk
Revision date: 2026-08-05
Scope: Transformation of coordinates at 1m level of accuracy.
Remarks: Derived at 31 stations in July 2010. Residuals generally less than +/- 0.7m horizontally.
Method: Coordinate Frame rotation (geog2D domain)
Area of use: North Macedonia.
Description: (0,)
&stroke=red&width=2&path=40.85,20.45|42.36,20.45|42.36,23.04|40.85,23.04|40.85,20.45)
Definition: OGC Well Known Text 2 (2019)
COORDINATEOPERATION["MGI 1901 to ETRS89 (5)", VERSION["KAT-Mkd"], SOURCECRS[ GEOGCRS["MGI 1901", DATUM["MGI 1901", ELLIPSOID["Bessel 1841",6377397.155,299.1528128, LENGTHUNIT["metre",1]]], 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]], ID["EPSG",3906]]], TARGETCRS[ GEOGCRS["ETRS89", ENSEMBLE["European Terrestrial Reference System 1989 ensemble", MEMBER["European Terrestrial Reference Frame 1989"], MEMBER["European Terrestrial Reference Frame 1990"], MEMBER["European Terrestrial Reference Frame 1991"], MEMBER["European Terrestrial Reference Frame 1992"], MEMBER["European Terrestrial Reference Frame 1993"], MEMBER["European Terrestrial Reference Frame 1994"], MEMBER["European Terrestrial Reference Frame 1996"], MEMBER["European Terrestrial Reference Frame 1997"], MEMBER["European Terrestrial Reference Frame 2000"], MEMBER["European Terrestrial Reference Frame 2005"], MEMBER["European Terrestrial Reference Frame 2014"], MEMBER["European Terrestrial Reference Frame 2020"], MEMBER["ETRS89-DNK"], MEMBER["Estonia 1997"], MEMBER["Albanian Geodetic Reference Frame 2008"], MEMBER["Albanian Geodetic Reference Frame 2014"], MEMBER["ETRS89-AUT [2002]"], MEMBER["Belgian Reference Frame 2002"], MEMBER["Belgian Reference Frame 2011"], MEMBER["BH_ETRS89"], MEMBER["Bulgaria Geodetic System 2005"], MEMBER["Croatian Terrestrial Reference System 1996"], MEMBER["AGRS2010 (ETRF2000)"], MEMBER["CROPOS"], MEMBER["ETRF2000 Poland"], MEMBER["ETRS89/DREF91 Realization 2016"], MEMBER["ETRS89/DREF91 Realization 2025"], MEMBER["ETRS89-CZE [2007]"], MEMBER["ETRS89-ESP [REGENTE]"], MEMBER["ETRS89-ESP [ERGNSS]"], MEMBER["ETRS89-FRO [2008]"], MEMBER["Hellenic Terrestrial Reference System of 2007"], MEMBER["ETRS89-HUN [ETRF2000]"], MEMBER["ETRS89-IRE [ETRF2000]"], MEMBER["ETRS89-MKD [EUREF-MAK2010]"], MEMBER["EUREF89"], MEMBER["ETRS89-PRT [1995]"], MEMBER["ETRS89-ROU [ETRF2000]"], MEMBER["ETRS89-SVK [SKTRF09]"], MEMBER["ETRS89-SVK [SKTRF2022]"], MEMBER["EUREF-FIN"], MEMBER["Istituto Geografico Militare 1995"], MEMBER["Kosovo Reference System 2001"], MEMBER["Latvian geodetic coordinate system 1992"], MEMBER["Latvian coordinate system 2020"], MEMBER["Lithuania 1994 (ETRS89)"], MEMBER["MOLDREF99"], MEMBER["OSNet v2009"], MEMBER["Reseau Geodesique Francais 1993 v1"], MEMBER["Reseau Geodesique Francais 1993 v2"], MEMBER["Reseau Geodesique Francais 1993 v2b"], MEMBER["Rete Dinamica Nazionale 2008"], MEMBER["Serbian Reference Network 1998"], MEMBER["Serbian Spatial Reference System 2000"], MEMBER["Slovenia Geodetic Datum 1996"], MEMBER["SWEREF 99"], MEMBER["ETRS89-LUX [2020]"], MEMBER["Nordic Geodetic Commission ETRF14"], MEMBER["ETRS89-LUX [2025]"], MEMBER["Swiss Terrestrial Reference System 1995"], ELLIPSOID["GRS 1980",6378137,298.257222101, LENGTHUNIT["metre",1]], ENSEMBLEACCURACY[0.1]], 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]], ID["EPSG",4258]]], METHOD["Coordinate Frame rotation (geog2D domain)", ID["EPSG",9607]], PARAMETER["X-axis translation",517.4399, LENGTHUNIT["metre",1], ID["EPSG",8605]], PARAMETER["Y-axis translation",228.7318, LENGTHUNIT["metre",1], ID["EPSG",8606]], PARAMETER["Z-axis translation",579.7954, LENGTHUNIT["metre",1], ID["EPSG",8607]], PARAMETER["X-axis rotation",-4.045, ANGLEUNIT["arc-second",4.84813681109536E-06], ID["EPSG",8608]], PARAMETER["Y-axis rotation",-4.304, ANGLEUNIT["arc-second",4.84813681109536E-06], ID["EPSG",8609]], PARAMETER["Z-axis rotation",15.612, ANGLEUNIT["arc-second",4.84813681109536E-06], ID["EPSG",8610]], PARAMETER["Scale difference",-8.312, SCALEUNIT["parts per million",1E-06], ID["EPSG",8611]], OPERATIONACCURACY[1.0], USAGE[ SCOPE["Transformation of coordinates at 1m level of accuracy."], AREA["North Macedonia."], BBOX[40.85,20.45,42.36,23.04]], ID["EPSG",6205], REMARK["Derived at 31 stations in July 2010. Residuals generally less than +/- 0.7m horizontally."]]
Definition: PROJ.4
+proj=pipeline +step +proj=axisswap +order=2,1 +step +proj=unitconvert +xy_in=deg +xy_out=rad +step +proj=push +v_3 +step +proj=cart +ellps=bessel +step +proj=helmert +x=517.4399 +y=228.7318 +z=579.7954 +rx=-4.045 +ry=-4.304 +rz=15.612 +s=-8.312 +convention=coordinate_frame +step +inv +proj=cart +ellps=GRS80 +step +proj=pop +v_3 +step +proj=unitconvert +xy_in=rad +xy_out=deg +step +proj=axisswap +order=2,1
Definition: JavaScript (Proj4js)
proj4.defs("EPSG:6205","+proj=pipeline +step +proj=axisswap +order=2,1 +step +proj=unitconvert +xy_in=deg +xy_out=rad +step +proj=push +v_3 +step +proj=cart +ellps=bessel +step +proj=helmert +x=517.4399 +y=228.7318 +z=579.7954 +rx=-4.045 +ry=-4.304 +rz=15.612 +s=-8.312 +convention=coordinate_frame +step +inv +proj=cart +ellps=GRS80 +step +proj=pop +v_3 +step +proj=unitconvert +xy_in=rad +xy_out=deg +step +proj=axisswap +order=2,1");
Definition: JSON
{ "$schema": "https://proj.org/schemas/v0.7/projjson.schema.json", "type": "Transformation", "name": "MGI 1901 to ETRS89 (5)", "source_crs": { "type": "GeographicCRS", "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 }, "remarks": "Adopted in 1924 replacing MGI (Ferro) (CRS code 4805). Densified in 1948. In Slovenia replaced by D96 (CRS code 4765). In Croatia replaced by HTRS96 (CRS code 4761). In Serbia replaced by SREF98 and then by SRB_ETRS89 (STRS00) (CRS codes 4075 and 8691)." }, "target_crs": { "type": "GeographicCRS", "name": "ETRS89", "datum_ensemble": { "name": "European Terrestrial Reference System 1989 ensemble", "members": [ { "name": "European Terrestrial Reference Frame 1989", "id": { "authority": "EPSG", "code": 1178 } }, { "name": "European Terrestrial Reference Frame 1990", "id": { "authority": "EPSG", "code": 1179 } }, { "name": "European Terrestrial Reference Frame 1991", "id": { "authority": "EPSG", "code": 1180 } }, { "name": "European Terrestrial Reference Frame 1992", "id": { "authority": "EPSG", "code": 1181 } }, { "name": "European Terrestrial Reference Frame 1993", "id": { "authority": "EPSG", "code": 1182 } }, { "name": "European Terrestrial Reference Frame 1994", "id": { "authority": "EPSG", "code": 1183 } }, { "name": "European Terrestrial Reference Frame 1996", "id": { "authority": "EPSG", "code": 1184 } }, { "name": "European Terrestrial Reference Frame 1997", "id": { "authority": "EPSG", "code": 1185 } }, { "name": "European Terrestrial Reference Frame 2000", "id": { "authority": "EPSG", "code": 1186 } }, { "name": "European Terrestrial Reference Frame 2005", "id": { "authority": "EPSG", "code": 1204 } }, { "name": "European Terrestrial Reference Frame 2014", "id": { "authority": "EPSG", "code": 1206 } }, { "name": "European Terrestrial Reference Frame 2020", "id": { "authority": "EPSG", "code": 1382 } }, { "name": "ETRS89-DNK", "id": { "authority": "EPSG", "code": 1412 } }, { "name": "Estonia 1997", "id": { "authority": "EPSG", "code": 6180 } }, { "name": "Albanian Geodetic Reference Frame 2008", "id": { "authority": "EPSG", "code": 1429 } }, { "name": "Albanian Geodetic Reference Frame 2014", "id": { "authority": "EPSG", "code": 1430 } }, { "name": "ETRS89-AUT [2002]", "id": { "authority": "EPSG", "code": 1431 } }, { "name": "Belgian Reference Frame 2002", "id": { "authority": "EPSG", "code": 1432 } }, { "name": "Belgian Reference Frame 2011", "id": { "authority": "EPSG", "code": 1447 } }, { "name": "BH_ETRS89", "id": { "authority": "EPSG", "code": 1358 } }, { "name": "Bulgaria Geodetic System 2005", "id": { "authority": "EPSG", "code": 1167 } }, { "name": "Croatian Terrestrial Reference System 1996", "id": { "authority": "EPSG", "code": 6761 } }, { "name": "AGRS2010 (ETRF2000)", "id": { "authority": "EPSG", "code": 1427 } }, { "name": "CROPOS", "id": { "authority": "EPSG", "code": 1445 } }, { "name": "ETRF2000 Poland", "id": { "authority": "EPSG", "code": 1305 } }, { "name": "ETRS89/DREF91 Realization 2016", "id": { "authority": "EPSG", "code": 1353 } }, { "name": "ETRS89/DREF91 Realization 2025", "id": { "authority": "EPSG", "code": 1446 } }, { "name": "ETRS89-CZE [2007]", "id": { "authority": "EPSG", "code": 1433 } }, { "name": "ETRS89-ESP [REGENTE]", "id": { "authority": "EPSG", "code": 1441 } }, { "name": "ETRS89-ESP [ERGNSS]", "id": { "authority": "EPSG", "code": 1442 } }, { "name": "ETRS89-FRO [2008]", "id": { "authority": "EPSG", "code": 1436 } }, { "name": "Hellenic Terrestrial Reference System of 2007", "id": { "authority": "EPSG", "code": 1437 } }, { "name": "ETRS89-HUN [ETRF2000]", "id": { "authority": "EPSG", "code": 1444 } }, { "name": "ETRS89-IRE [ETRF2000]", "id": { "authority": "EPSG", "code": 6173 } }, { "name": "ETRS89-MKD [EUREF-MAK2010]", "id": { "authority": "EPSG", "code": 1438 } }, { "name": "EUREF89", "id": { "authority": "EPSG", "code": 1407 } }, { "name": "ETRS89-PRT [1995]", "id": { "authority": "EPSG", "code": 1439 } }, { "name": "ETRS89-ROU [ETRF2000]", "id": { "authority": "EPSG", "code": 1440 } }, { "name": "ETRS89-SVK [SKTRF09]", "id": { "authority": "EPSG", "code": 1434 } }, { "name": "ETRS89-SVK [SKTRF2022]", "id": { "authority": "EPSG", "code": 1435 } }, { "name": "EUREF-FIN", "id": { "authority": "EPSG", "code": 1391 } }, { "name": "Istituto Geografico Militare 1995", "id": { "authority": "EPSG", "code": 6670 } }, { "name": "Kosovo Reference System 2001", "id": { "authority": "EPSG", "code": 1251 } }, { "name": "Latvian geodetic coordinate system 1992", "id": { "authority": "EPSG", "code": 6661 } }, { "name": "Latvian coordinate system 2020", "id": { "authority": "EPSG", "code": 1356 } }, { "name": "Lithuania 1994 (ETRS89)", "id": { "authority": "EPSG", "code": 6126 } }, { "name": "MOLDREF99", "id": { "authority": "EPSG", "code": 1032 } }, { "name": "OSNet v2009", "id": { "authority": "EPSG", "code": 1425 } }, { "name": "Reseau Geodesique Francais 1993 v1", "id": { "authority": "EPSG", "code": 6171 } }, { "name": "Reseau Geodesique Francais 1993 v2", "id": { "authority": "EPSG", "code": 1312 } }, { "name": "Reseau Geodesique Francais 1993 v2b", "id": { "authority": "EPSG", "code": 1313 } }, { "name": "Rete Dinamica Nazionale 2008", "id": { "authority": "EPSG", "code": 1132 } }, { "name": "Serbian Reference Network 1998", "id": { "authority": "EPSG", "code": 1034 } }, { "name": "Serbian Spatial Reference System 2000", "id": { "authority": "EPSG", "code": 1214 } }, { "name": "Slovenia Geodetic Datum 1996", "id": { "authority": "EPSG", "code": 6765 } }, { "name": "SWEREF 99", "id": { "authority": "EPSG", "code": 6619 } }, { "name": "ETRS89-LUX [2020]", "id": { "authority": "EPSG", "code": 1453 } }, { "name": "Nordic Geodetic Commission ETRF14", "id": { "authority": "EPSG", "code": 1403 } }, { "name": "ETRS89-LUX [2025]", "id": { "authority": "EPSG", "code": 1463 } }, { "name": "Swiss Terrestrial Reference System 1995", "id": { "authority": "EPSG", "code": 6151 } } ], "ellipsoid": { "name": "GRS 1980", "semi_major_axis": 6378137, "inverse_flattening": 298.257222101 }, "accuracy": "0.1", "id": { "authority": "EPSG", "code": 6258 } }, "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": 4258 }, "remarks": "Has been realized through ETRF89, ETRF90, ETRF91, ETRF92, ETRF93, ETRF94, ETRF96, ETRF97, ETRF2000, ETRF2005 and ETRF2014. This 'ensemble' covers any or all of these realizations without distinction." }, "method": { "name": "Coordinate Frame rotation (geog2D domain)", "id": { "authority": "EPSG", "code": 9607 } }, "parameters": [ { "name": "X-axis translation", "value": 517.4399, "unit": "metre", "id": { "authority": "EPSG", "code": 8605 } }, { "name": "Y-axis translation", "value": 228.7318, "unit": "metre", "id": { "authority": "EPSG", "code": 8606 } }, { "name": "Z-axis translation", "value": 579.7954, "unit": "metre", "id": { "authority": "EPSG", "code": 8607 } }, { "name": "X-axis rotation", "value": -4.045, "unit": { "type": "AngularUnit", "name": "arc-second", "conversion_factor": 4.84813681109536e-06 }, "id": { "authority": "EPSG", "code": 8608 } }, { "name": "Y-axis rotation", "value": -4.304, "unit": { "type": "AngularUnit", "name": "arc-second", "conversion_factor": 4.84813681109536e-06 }, "id": { "authority": "EPSG", "code": 8609 } }, { "name": "Z-axis rotation", "value": 15.612, "unit": { "type": "AngularUnit", "name": "arc-second", "conversion_factor": 4.84813681109536e-06 }, "id": { "authority": "EPSG", "code": 8610 } }, { "name": "Scale difference", "value": -8.312, "unit": { "type": "ScaleUnit", "name": "parts per million", "conversion_factor": 1e-06 }, "id": { "authority": "EPSG", "code": 8611 } } ], "accuracy": "1.0", "scope": "Transformation of coordinates at 1m level of accuracy.", "area": "North Macedonia.", "bbox": { "south_latitude": 40.85, "west_longitude": 20.45, "north_latitude": 42.36, "east_longitude": 23.04 }, "id": { "authority": "EPSG", "code": 6205 }, "remarks": "Derived at 31 stations in July 2010. Residuals generally less than +/- 0.7m horizontally." }
Definition: MapServer - MAPfile
PROJECTION "proj=pipeline" "step" "proj=axisswap" "order=2,1" "step" "proj=unitconvert" "xy_in=deg" "xy_out=rad" "step" "proj=push" "v_3" "step" "proj=cart" "ellps=bessel" "step" "proj=helmert" "x=517.4399" "y=228.7318" "z=579.7954" "rx=-4.045" "ry=-4.304" "rz=15.612" "s=-8.312" "convention=coordinate_frame" "step" "inv" "proj=cart" "ellps=GRS80" "step" "proj=pop" "v_3" "step" "proj=unitconvert" "xy_in=rad" "xy_out=deg" "step" "proj=axisswap" "order=2,1" END
Definition: Mapnik
<?xml version="1.0" encoding="utf-8"?> <Map srs="+proj=pipeline +step +proj=axisswap +order=2,1 +step +proj=unitconvert +xy_in=deg +xy_out=rad +step +proj=push +v_3 +step +proj=cart +ellps=bessel +step +proj=helmert +x=517.4399 +y=228.7318 +z=579.7954 +rx=-4.045 +ry=-4.304 +rz=15.612 +s=-8.312 +convention=coordinate_frame +step +inv +proj=cart +ellps=GRS80 +step +proj=pop +v_3 +step +proj=unitconvert +xy_in=rad +xy_out=deg +step +proj=axisswap +order=2,1"> <Layer srs="+proj=pipeline +step +proj=axisswap +order=2,1 +step +proj=unitconvert +xy_in=deg +xy_out=rad +step +proj=push +v_3 +step +proj=cart +ellps=bessel +step +proj=helmert +x=517.4399 +y=228.7318 +z=579.7954 +rx=-4.045 +ry=-4.304 +rz=15.612 +s=-8.312 +convention=coordinate_frame +step +inv +proj=cart +ellps=GRS80 +step +proj=pop +v_3 +step +proj=unitconvert +xy_in=rad +xy_out=deg +step +proj=axisswap +order=2,1"> </Layer> </Map>
Definition: SQL (PostGIS)
INSERT into spatial_ref_sys (srid, auth_name, auth_srid, proj4text, srtext) values ( 6205, 'EPSG', 6205, '+proj=pipeline +step +proj=axisswap +order=2,1 +step +proj=unitconvert +xy_in=deg +xy_out=rad +step +proj=push +v_3 +step +proj=cart +ellps=bessel +step +proj=helmert +x=517.4399 +y=228.7318 +z=579.7954 +rx=-4.045 +ry=-4.304 +rz=15.612 +s=-8.312 +convention=coordinate_frame +step +inv +proj=cart +ellps=GRS80 +step +proj=pop +v_3 +step +proj=unitconvert +xy_in=rad +xy_out=deg +step +proj=axisswap +order=2,1', 'None');
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