Phrase guide
Definitions and examples are grouped by meaning. Pronunciation, history, word forms, translations, descendants, synonyms, antonyms, derived terms, and related words appear whenever the source provides them.
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noun
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.
Definition source: English Wiktionary via Wiktextract
Usage: countable, uncountable
Topics: geometry, mathematics, sciences
No example sentence was provided for this meaning.
Synonyms: none provided
Antonyms: none provided
noun
A non-Euclidean geometry, that features the hyperbola as geodesic, and has constant negative curvature
Definition source: English Wiktionary via Wiktextract
Usage: countable, uncountable
Topics: geometry, mathematics, sciences
No example sentence was provided for this meaning.
Synonyms: none provided
Antonyms: none provided
noun
(mathematics) a non-Euclidean geometry in which the parallel axiom is replaced by the assumption that through any point in a plane there are two or more lines that do not intersect a given line in the plane
Definition source: Princeton WordNet 3.0
Synonyms: none provided
Antonyms: none provided
Broader terms: non-Euclidean geometry
History
The terminology was introduced in 1871 by Felix Klein, who classified some non-Euclidean geometries as hyperbolisch (“hyperbolic”), elliptisch (“elliptical”), and parabolisch (“parabolic”).
Across languages
2 source translations are retained for this English entry.
