A Minimum-Error Equal-Area Pseudocylindrical Map Projection

Abstract

The point pole of a pseudocylindrical map projection may be expanded to a line to alleviate distortions in the map at high latitudes. The ratio between the length of the pole line and the length of the equator may be determined so as to give a minimum-error pseudocylindrical map projection. A variation of the minimum-error technique, as proposed by Sir George Airy, is applied to the sinusoidal projection to demonstrate the method.