noun
Meaning 1
A function that maps a sphere onto a plane; especially, the map generated by projecting each point of the sphere from the sphere's (designated) north pole to a point on the plane tangent to the south pole.
Definition source: English Wiktionary via Wiktextract
Qualifier: projective geometry
Topics: cartography, complex-analysis, geography, mathematics, natural-sciences, sciences
Examples
- 1974 [Prentice-Hall], Richard A. Silverman, Complex Analysis with Applications, Dover, 1984, Unaltered republication, page 19, Thus we see that stereographic projection establishes a one-to-one correspondence between the extended complex plane and the Riemann sphere.
- 1991, E. J. F. Primrose (translator), Simeon Ivanov (editor of translation), A. T. Fomenko, A. A. Tuzhilin, Elements of the Geometry and Topology of Minimal Surfaces in Three-Dimensional Space, American Mathematical Society, page 67, Proposition 2. The stereographic projection π_N:S2→Oxy of the sphere S2 onto the xy-plane from the North Pole N preserves the angles between tangent vectors. Thus, the coordinates specified on S2⧵N by the stereographic projection π_N are isothermal.
Meaning relationships
Synonyms: none provided
Antonyms: none provided