non-Euclidean geometry

Noun

Meaning

(mathematics) geometry based on axioms different from Euclid's

Source: WordNet

Synonyms

algebra calculus analytic geometry affine geometry computational geometry descriptive geometry algebraic geometry algebraic topology Euclid's fifth axiom absolute geometry conformal geometry coordinate geometry Klein geometry complex geometry noneuclidean geometry
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Antonyms

Euclidean geometry

Hypernyms

geometry

Hyponyms

Riemannian geometry hyperbolic geometry elliptic geometry

Examples

non-Euclidean geometries discard or replace one or more of the Euclidean axioms Source: Internet

19th and early 20th century It took the simultaneous 19th century developments of non-Euclidean geometry and Abelian integrals in order to bring the old algebraic ideas back into the geometrical fold. Source: Internet

After his habilitation, Hausdorff wrote another work on optics, on non-Euclidean geometry, and on hypercomplex number systems, as well as two papers on probability theory. Source: Internet

Circa 1813, Carl Friedrich Gauss and independently around 1818, the German professor of law Ferdinand Karl Schweikart In a letter of December 1818, Ferdinand Karl Schweikart (1780-1859) sketched a few insights into non-Euclidean geometry. Source: Internet

Ball, p. 485 Since non-Euclidean geometry is provably relatively consistent with Euclidean geometry, the parallel postulate cannot be proved from the other postulates. Source: Internet

Carnap, R, An introduction to the philosophy of science, p. 148 Since Euclidean geometry is simpler than non-Euclidean geometry, he assumed the former would always be used to describe the 'true' geometry of the world. Source: Internet

Close letter words and terms

non-esterifying non-Estonian non-Euclidean non-European non-evaporable non-evaporative