Non-Euclidean geometry

id: non-euclidean-geometry-161-11552630
title: Non-Euclidean geometry
text: In mathematics, non-Euclidean geometry consists of two geometries based on axioms closely related to those that specify Euclidean geometry. As Euclidean geometry lies at the intersection of metric geometry and affine geometry, non-Euclidean geometry arises by either replacing the parallel postulate with an alternative, or relaxing the metric requirement. In the former case, one obtains hyperbolic geometry and elliptic geometry, the traditional non-Euclidean geometries. When the metric requiremen
brand slug: wiki
category slug: encyclopedia
description: Two geometries based on axioms closely related to those specifying Euclidean geometry
original url: https://en.wikipedia.org/wiki/Non-Euclidean_geometry
date created: 2001-11-01T01:47:48Z
date modified: 2024-08-27T21:22:31Z
main entity: {"identifier":"Q233858","url":"https://www.wikidata.org/entity/Q233858"}
image:
fields total: 13
integrity: 15

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