non-Euclidean geometry

noun

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.

Opposite
Euclidean geometry
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Meanings

nounnon-Euclidean geometry (countable and uncountable, plural non-Euclidean geometries)

plural non-Euclidean geometries · alternative US noneuclidean geometry

  1. countableuncountablegeometryAny 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

Synonyms & antonyms

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

Opposite
Euclidean geometry

Translations

Czech neeuklidovská geometrie
  • neeuklidovská geometrieAny system of geometry not based on the set of axioms of Euclidean geometry
Finnish epäeuklidinen geometria
  • epäeuklidinen geometriaAny system of geometry not based on the set of axioms of Euclidean geometry
French géométrie non euclidienne
  • géométrie non euclidienneAny system of geometry not based on the set of axioms of Euclidean geometry
German nichteuklidische Geometrie
  • nichteuklidische GeometrieAny system of geometry not based on the set of axioms of Euclidean geometry
Greek μη-Ευκλείδεια γεωμετρία
  • μη-Ευκλείδεια γεωμετρία (mi-Efkleídeia geometría)Any system of geometry not based on the set of axioms of Euclidean geometry
Hungarian nemeuklideszi geometria
  • nemeuklideszi geometriaAny system of geometry not based on the set of axioms of Euclidean geometry
Icelandic óevklíðsk rúmfræði
  • óevklíðsk rúmfræðiAny system of geometry not based on the set of axioms of Euclidean geometry
Indonesian geometri non-Euklides
  • geometri non-EuklidesAny system of geometry not based on the set of axioms of Euclidean geometry
Italian geometria non euclidea, metageometria
  • geometria non euclideaAny system of geometry not based on the set of axioms of Euclidean geometry
  • metageometriaAny system of geometry not based on the set of axioms of Euclidean geometry
Japanese 非ユークリッド幾何学
  • 非ユークリッド幾何学 (hi-Yūkuriddo kikagaku)Any system of geometry not based on the set of axioms of Euclidean geometry
Korean 비유클리드 기하학
  • 비유클리드 기하학 (biyukeullideu gihahak)Any system of geometry not based on the set of axioms of Euclidean geometry
Persian هندسه نااقلیدسی
  • هندسه نااقلیدسیAny system of geometry not based on the set of axioms of Euclidean geometry
Polish geometria nieeuklidesowa
  • geometria nieeuklidesowaAny system of geometry not based on the set of axioms of Euclidean geometry
Portuguese geometria não-euclidiana
  • geometria não-euclidianaAny system of geometry not based on the set of axioms of Euclidean geometry
Romanian geometrie neeuclidiană
  • geometrie neeuclidianăAny system of geometry not based on the set of axioms of Euclidean geometry
Russian неевкли́дова геоме́трия
  • неевкли́дова геоме́трия (nejevklídova geométrija)Any system of geometry not based on the set of axioms of Euclidean geometry
Cite this entry
APA

non-Euclidean geometry. (n.d.). In WatkinsX Dictionary. Retrieved November 4, 2026, from https://dictionary.watkinsx.com/word/non-Euclidean%20geometry

MLA

“non-Euclidean geometry.” WatkinsX Dictionary, https://dictionary.watkinsx.com/word/non-Euclidean%20geometry. Accessed November 4, 2026.

Chicago

WatkinsX Dictionary, s.v. “non-Euclidean geometry,” accessed November 4, 2026, https://dictionary.watkinsx.com/word/non-Euclidean%20geometry.

Source: non-Euclidean geometry on Wiktionary, CC BY-SA 4.0.