Concept information
Preferred term
hyperbolic geometry
Definition(s)
-
In mathematics, hyperbolic geometry (also called Lobachevskian geometry or Bolyai–Lobachevskian geometry) is a non-Euclidean geometry. The parallel postulate of Euclidean geometry is replaced with : For any given line R and point P not on R, in the plane containing both line R and point P there are at least two distinct lines through P that do not intersect R.
(Wikipedia, The Free Encyclopedia, https://en.wikipedia.org/wiki/Hyperbolic_geometry)
Broader concept(s)
Narrower concept(s)
- Beltrami-Klein model
- coordinate system for the hyperbolic plane
- coquaternion
- Hilbert's arithmetic of ends
- Hilbert's theorem
- Hurwitz surface
- hyperbolic manifold
- hyperbolic metric space
- hyperbolic space
- hyperbolic triangle
- ideal polyhedron
- ideal triangle
- Klein quartic
- Lambert quadrilateral
- Margulis lemma
- Poincaré disk
- Poincaré metric
- point at infinity
- pseudosphere
- special linear group SL(2, R)
- ultraparallel theorem
Synonym(s)
- Bolyai-Lobachevskian geometry
- Lobachevskian geometry
In other languages
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French
-
géométrie de Lobatchevski
URI
http://data.loterre.fr/ark:/67375/PSR-VX20K4H9-G
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