Under this stereographic projection the north pole itself is not associated with any point in the complex plane.
This situation is most easily visualized by using the stereographic projection described above.
The horizon line on a stereographic projection is a perfect circle.
An extremely useful way to see this is via stereographic projection.
The plane may be given a spherical geometry by using the stereographic projection.
For instance, suppose that S is given coordinates by the stereographic projection.
The extended plane can be identified with the sphere using a stereographic projection.
Under stereographic projection, it appears as ordinary translation along the real axis.
The upper sphere is projected on a plane using the stereographic projection.
The stereographic projection relates to the plane inversion in a simple way.