hyperbolic geometry
English
Etymology
The terminology was introduced in 1871 by Felix Klein, who classified some non-Euclidean geometries as hyperbolisch (“hyperbolic”), elliptisch (“elliptical”), and parabolisch (“parabolic”).
Noun
hyperbolic geometry (countable and uncountable, plural hyperbolic geometries)
- (geometry) A type of geometry that rejects the parallel postulate. Given a straight line L and a point P not on the line, more than one straight line can be drawn through P without intersecting L.
- (mathematics) A non-Euclidean geometry, that features the hyperbola as geodesic, and has constant negative curvature
Synonyms
- Lobachevsky-Bolyai-Gauss geometry
Further reading
- “hyperbolic geometry”, in Merriam-Webster Online Dictionary, Springfield, Mass.: Merriam-Webster, 1996–present.
- hyperbolic geometry on Wikipedia.Wikipedia
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