The stereographic projection presents the quadric hypersurface as a rational hypersurface. This spherical problem can be rendered into a corresponding planar problem using stereographic projection. There is also an equal-angle hemispherical projection defined by stereographic projection. Nautical charts using stereographic and orthographic projections date back to the second century BC. The upper sphere is projected on a plane using the stereographic projection. The plane may be given a spherical geometry by using the stereographic projection. The map is called stereographic projection. This circle maps to a circle under stereographic projection. They are the projection lines of the stereographic projection. The parametrization to be used is the inverse of "hyperbolic stereographic projection". These surfaces are cylindrical (e.g. Mercator), conic (e.g. Albers), and plane (e.g. stereographic). The stereographic projection relates to the plane inversion in a simple way. The horizon line on a stereographic projection is a perfect circle. There are various forms of transverse or oblique stereographic projections of ellipsoids. This forms the basis for stereographic projection.