Plate Carrée Map

The Plate Carrée Map is an equidistant cylindrical projection.

Quadratic Plate Carrée Map

In case of projecting onto a tangent rotation cylinder which touches the sphere in the equator, thus the equator is also mapped length-preserving and the graticule has a quadratic form.

This projection which is already known in antiquity originates from Marinos of Tyre (about 100 A.D.).

Rectangular Plate Carrée Map

In case of projecting onto a secant rotation cylinder which intersects the sphere in the two parallels of latitude v0 und -v0, thus these are also mapped length-preserving and the graticule has a rectangular form.

Marinos of Tyre determined  v0 =  / 5  because this parallel of latitude coincides nearly with the West-Eastern-midline of the then known world.

  
See also
  
 Derivation of cylindrical projections Derivation of cylindrical projections
 standard parallels standard parallels