Gauss-Schreiber

Description

This projection is sometimes used as an intermediate step to the ellipsoidal transverse Mercator. It is a “double projection”, in that the ellipsoid is first projected conformally onto the sphere, and then the sphere is projected conformally onto the plane. The latter projection is the spherical transverse Mercator projection.

Classifications

cylindric
conformal

Aspect

One possible transverse development for the ellipsoidal transverse Mercator.

Graticule

Meridians: Central meridian is straight; others are complex curves.
Parallels: Complex curves, unequally spaced along the central meridian.

Scale

Infinite at the top/bottom extremities. The full map cannot be shown.

Distortion

Low near the central meridian, increasing away from it.

Similar projections

The ellipsoidal transverse Mercator is finite and has parallels correctly (but not evenly) spaced along the central meridian.
Wallis 1 transverse Mercator is similar until reaching the extremities.

Origin

Oskar Schreiber developed the projection around 1880 for use in the Prussian land surveys. Louis Krüger developed these further in 1912 in developing high accuracy mathematical series for the ellipsoidal transverse Mercator.

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