non-Euclidean geometry

See also: noneuclidean geometry

English

Alternative forms

• noneuclidean geometry US

Noun

non-Euclidean geometry (plural non-Euclidean geometries)

1. (geometry) Any system of geometry not based on the set of axioms of Euclidean geometry, which is based on the three-dimensional space of common experience.

Antonyms

• Euclidean geometry

Translations

Any system of geometry not based on the set of axioms of Euclidean geometry

• Czech: neeuklidovská geometrie f
• Finnish: epäeuklidinen geometria (fi)
• French: géométrie non euclidienne f
• Georgian: არაევკლიდური გეომეტრია (araevḳliduri geomeṭria)
• German: nichteuklidische Geometrie f
• Hungarian: nemeuklideszi geometria (hu)
• Icelandic: óevklíðsk rúmfræði f
• Italian: geometria non euclidea f, metageometria f
• Japanese: 非ユークリッド幾何学 (ひユークリッドきかがく, hi-Yūkuriddo kikagaku)
• Macedonian: неевклидова геометрија f (neevklidova geometrija)
• Portuguese: geometria não-euclidiana f
• Romanian: geometrie neeuclidiană (ro) f
• Russian: неевкли́дова геоме́трия f (nejevklídova geométrija)
• Serbo-Croatian: neeuklidska geometrija f

See also

• absolute geometry
• elliptic geometry
• hyperbolic geometry
• parallel postulate