a map projection in which quadrilaterals formed by meridians and parallels have an area on the map proportional to their area on the globe

Preserves area, distorts other properties.

In cartography, a conformal map projection is one in which every angle between two curves that cross each other on Earth (a sphere or an ellipsoid) is preserved in the image of the projection; that is, the projection is a conformal map in the mathematical sense.

Orthographic projection in cartography has been used since antiquity.

The stereographic projection, also known as the planisphere projection or the azimuthal conformal projection, is a conformal map projection whose use dates back to antiquity.

A polyhedral map projection is a map projection based on a spherical polyhedron.