Phrase guide

non-Euclidean geometry

noun · 2 senses · updated from the 2026-07-25 local source snapshot

Definitions and examples are grouped by meaning. Pronunciation, history, word forms, translations, descendants, synonyms, antonyms, derived terms, and related words appear whenever the source provides them.

Sound

Pronunciation

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No pronunciation record was provided for this word.

1

noun

Meaning 1

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.

Definition source: English Wiktionary via Wiktextract

Usage: countable, uncountable

Topics: geometry, mathematics, sciences

No example sentence was provided for this meaning.

Meaning relationships

Synonyms: none provided

Antonyms: Euclidean geometry

2

noun

Meaning 2

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

Definition source: Princeton WordNet 3.0

Examples

  • non-Euclidean geometries discard or replace one or more of the Euclidean axioms

Meaning relationships

Synonyms: none provided

Antonyms: none provided

Broader terms: geometry

Narrower terms: hyperbolic geometry, elliptic geometry, Riemannian geometry

History

Etymology

No etymology was provided for this word.

Across languages

Translations

23 source translations are retained for this English entry.

  • Azerbaijani: qeyri-Evklid həndəsəsi — Any system of geometry not based on the set of axioms of Euclidean geometry
  • Bashkir: евклидтыҡы булмаған геометрия (yevklidtıqı bulmağan geometriya) — Any system of geometry not based on the set of axioms of Euclidean geometry
  • Czech: neeuklidovská geometrie — Any system of geometry not based on the set of axioms of Euclidean geometry
  • Finnish: epäeuklidinen geometria — Any system of geometry not based on the set of axioms of Euclidean geometry
  • French: géométrie non euclidienne — Any system of geometry not based on the set of axioms of Euclidean geometry
  • Georgian: არაევკლიდური გეომეტრია (araevḳliduri geomeṭria) — Any system of geometry not based on the set of axioms of Euclidean geometry
  • German: nichteuklidische Geometrie — Any system of geometry not based on the set of axioms of Euclidean geometry
  • Greek: μη-Ευκλείδεια γεωμετρία (mi-Efkleídeia geometría) — Any system of geometry not based on the set of axioms of Euclidean geometry
  • Hungarian: nemeuklideszi geometria — Any system of geometry not based on the set of axioms of Euclidean geometry
  • Icelandic: óevklíðsk rúmfræði — Any system of geometry not based on the set of axioms of Euclidean geometry
  • Indonesian: geometri non-Euklides — Any system of geometry not based on the set of axioms of Euclidean geometry
  • Italian: geometria non euclidea — Any system of geometry not based on the set of axioms of Euclidean geometry
  • Italian: metageometria — Any system of geometry not based on the set of axioms of Euclidean geometry
  • Japanese: 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
  • Kazakh: евклидтық емес геометрия (evklidtyq emes geometriä) — Any system of geometry not based on the set of axioms of Euclidean geometry
  • Korean: 비유클리드 기하학 (biyukeullideu gihahak) — Any system of geometry not based on the set of axioms of Euclidean geometry
  • Macedonian: неевклидова геометрија (neevklidova geometrija) — Any system of geometry not based on the set of axioms of Euclidean geometry
  • Persian: هندسه نااقلیدسی — Any system of geometry not based on the set of axioms of Euclidean geometry
  • Polish: geometria nieeuklidesowa — Any system of geometry not based on the set of axioms of Euclidean geometry
  • Portuguese: geometria não-euclidiana — Any system of geometry not based on the set of axioms of Euclidean geometry
  • Romanian: geometrie neeuclidiană — Any system of geometry not based on the set of axioms of Euclidean geometry
  • Russian: неевкли́дова геоме́трия (nejevklídova geométrija) — Any system of geometry not based on the set of axioms of Euclidean geometry
  • Serbo-Croatian: neeuklidska geometrija — Any system of geometry not based on the set of axioms of Euclidean geometry