hyperbolic geometry en · NOUN
Etymology
The terminology was introduced in 1871 by Felix Klein, who classified some non-Euclidean geometries as hyperbolisch (“hyperbolic”), elliptisch (“elliptical”), and parabolisch (“parabolic”).
Meanings
- (countable, uncountable) A type of geometry that rejects the parallel postulate. Given a straight line L and a point p not on L, more than one straight line can be drawn through p without intersecting L.
- (countable, uncountable) A non-Euclidean geometry, that features the hyperbola as geodesic, and has constant negative curvature
Forms
| Spelling | Features | Labels | Source |
|---|---|---|---|
| hyperbolic geometries | Number=Plur | lexicographic |
Relateds
hyperbolic space · hyperbolic function
Synonyms
Lobachevsky-Bolyai-Gauss geometry
Translations (4)
ar هَنْدَسَة زَائِدِيّة (type of geometry) · fr géométrie hyperbolique (type of geometry) · hu hiperbolikus geometria (type of geometry) · pl geometria hiperboliczna (type of geometry)