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non-Euclidean geometry vs hyperbolic geometry

hyperbolic geometry vs non-Euclidean geometry

non-Euclidean geometry and hyperbolic geometry both are nouns.

Word NounAdjectiveVerbAdverb
non-Euclidean geometry Yes No No No
hyperbolic geometry Yes No No No
As nouns, hyperbolic geometry is a hyponym of non-Euclidean geometry; that is, hyperbolic geometry is a word with a more specific, narrower meaning than non-Euclidean geometry:
  • non-Euclidean geometry: (mathematics) geometry based on axioms different from Euclid's
  • hyperbolic geometry: (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
Other hyponyms of non-Euclidean geometry include elliptic geometry, Riemannian geometry.
non-Euclidean geometry (noun) hyperbolic geometry (noun)
(mathematics) geometry based on axioms different from Euclid's (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
Difference between non-Euclidean geometry and hyperbolic geometry

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