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hyperbolic geometry vs non-Euclidean geometry

non-Euclidean geometry vs hyperbolic geometry

hyperbolic geometry and non-Euclidean geometry both are nouns.

Word NounAdjectiveVerbAdverb
hyperbolic geometry Yes No No No
non-Euclidean geometry Yes No No No
As nouns, non-Euclidean geometry is a hypernym of hyperbolic geometry; that is, non-Euclidean geometry is a word with a broader meaning than hyperbolic geometry:
  • 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
  • non-Euclidean geometry: (mathematics) geometry based on axioms different from Euclid's
hyperbolic geometry (noun) non-Euclidean geometry (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 (mathematics) geometry based on axioms different from Euclid's
Difference between hyperbolic geometry and non-Euclidean geometry

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