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

单词	hyperbolic geometry
释义	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 hyperbolic geometry on Wikipedia.Wikipedia
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hyperbolic geometry

English

Etymology

Noun

Synonyms

Further reading