hyperbolic geometry
English
editEtymology
editThe terminology was introduced in 1871 by Felix Klein, who classified some non-Euclidean geometries as hyperbolisch (“hyperbolic”), elliptisch (“elliptical”), and parabolisch (“parabolic”).
Noun
edithyperbolic 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
editFurther reading
edit- “hyperbolic geometry”, in Merriam-Webster Online Dictionary, Springfield, Mass.: Merriam-Webster, 1996–present.
- hyperbolic geometry on Wikipedia.Wikipedia