Zusammenfassung
Summary
Carl Friedrich Gauss is especially known in geodesy for the Gauss-Krüger map projection, which is in official use in many countries and is sometimes known as the transverse Mercator projection. Gauss also investigated other variants of conformal mappings of a rotational ellipsoid to a sphere and of a sphere and an ellipsoid into a plane. In this paper, we deal with a conformal mapping of an ellipsoid to a sphere in which the selected meridian on the ellipsoid is mapped onto the sphere without distortions. Such a mapping allows us to interpret the Gauss-Krüger projection as a double mapping that has not been recognised so far.