The Cassini Projection§ is the transverse aspect of the Equidistant Cylindrical or Plate Carrée projection.  It is instantly recognizable by the complex curves of its parallels, which are precisely circular at the poles in its spherical form, as shown here,  becoming perfect squares at the equator.  Although the projection is neither conformal nor equal area, it boasts a unique property:  any point on the Earth may be chosen as the "pole" of the projection (here I chose 0ºN, 80ºW on the coast of Ecuador), and from that point the bearing and distance to all other points may be read directly as two rectangular coordinates. Introduced in 1745 by C. F. Cassini de Thury for the survey of France, the projection is still widely used in its more complex elliptical form, as elaborated by J. G. Soldner in the early 19th century.  Older maps of this kind are still in print in Great Britain, and current ones in Cyprus, Czechoslovakia, Denmark, Germany, and Malaysia.

Projected inside AutoCAD® by Ptolemytm map projection software by W. Murray Sexton, from the Micro World Database, available from the Central Intelligence Agency. 

§ John P. Snyder, Map Projections--A Working Manual, U.S. Geological Survey Professional Paper 1395, United States Government Printing Office, Washington D.C., 21987, pp. 92-95.

Cassini

Equatorial Cassini 80ºW © 1995 W. Murray Sexton. All rights reserved.

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