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Your transformation omits the offset between the Bessel and the WGS84 Ellipsoid. The full WKT would be: PROJCS["DHDN / 3-degree Gauss-Kruger zone 3", GEOGCS["DHDN", DATUM["Deutsches_Hauptdreiecksnetz", SPHEROID["Bessel 1841",6377397.155,299.1528128, AUTHORITY["EPSG","7004"]], ...



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