hyperbolic geometry

Noun

Meaning

(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

Source: WordNet

Synonyms

analysis mathematics arithmetic trigonometry affine geometry differential topology computational geometry descriptive geometry algebraic geometry algebraic topology differential geometry Euclid's fifth axiom absolute geometry conformal geometry Klein geometry
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Hypernyms

non-Euclidean geometry

Examples

Karl Gauss pioneered hyperbolic geometry Source: Internet

Consequently, hyperbolic geometry is called Bolyai-Lobachevskian geometry, as both mathematicians, independent of each other, are the basic authors of non-Euclidean geometry. Source: Internet

The relevant structure is now called the hyperboloid model of hyperbolic geometry. Source: Internet

However, by throwing out Euclid's fifth postulate we get theories that have meaning in wider contexts, hyperbolic geometry for example. Source: Internet

The geometrization conjecture His later work, starting around the mid-1970s, revealed that hyperbolic geometry played a far more important role in the general theory of 3-manifolds than was previously realised. Source: Internet

First edition in German, 1908) pg. 176 He was referring to his own work which today we call hyperbolic geometry. Source: Internet

Close letter words and terms

hyperbolic cotangent hyperbolic dodecahedron hyperbolic function hyperbolic homology hyperbolic logarithm hyperbolic navigation system