Meanings
nounEuclidean space (countable and uncountable, plural Euclidean spaces)
plural Euclidean spaces · alternative Euclidian space
- countableuncountableOrdinary n-dimensional space, characterized by an infinite extent along each dimension and a constant distance between any pair of parallel lines.
Synonyms: Cartesian space
- countableuncountablemathematicsAny real vector space on which a real-valued inner product (and, consequently, a metric) is defined.
Synonyms & antonyms
nounOrdinary n-dimensional space, characterized by an infinite extent along each dimension and a constant distance between any pair of parallel lines.
Similar
Translations
Chinese Mandarin 歐幾里得空間 /欧几里得空间
- 歐幾里得空間 /欧几里得空间 (Ōujǐlǐdé kòngjiān)ordinary space
Czech euklidovský prostor
- euklidovský prostorordinary space
Danish euklidisk rum
- euklidisk rumordinary space
Finnish euklidinen avaruus
- euklidinen avaruusordinary space
French espace euclidien
- espace euclidienordinary space
Greek Ευκλείδειος χώρος
- Ευκλείδειος χώρος (Efkleídeios chóros)ordinary space
Hungarian euklideszi tér
- euklideszi térordinary space
Japanese ユークリッド空間
- ユークリッド空間 (Yūkuriddo kūkan)ordinary space
Korean 유클리드 공간, 유클리드 공간
- 유클리드 공간 (yukeullideu gonggan)ordinary space
- 유클리드 공간 (yukeullideu gonggan)type of vector space
Polish przestrzeń euklidesowa, przestrzeń euklidesowa
- przestrzeń euklidesowaordinary space
- przestrzeń euklidesowatype of vector space
Portuguese espaço euclidiano
- espaço euclidianoordinary space
Romanian spațiu euclidian
- spațiu euclidianordinary space
Russian евкли́дово простра́нство
- евкли́дово простра́нство (jevklídovo prostránstvo)ordinary space
Spanish espacio euclídeo, espacio euclidiano
- espacio euclídeoordinary space
- espacio euclidianoordinary space
Swedish euklidiskt rum
- euklidiskt rumordinary space
Thai ปริภูมิแบบยุคลิด
- ปริภูมิแบบยุคลิดordinary space
Cite this entry
APA
Euclidean space. (n.d.). In WatkinsX Dictionary. Retrieved November 4, 2026, from https://dictionary.watkinsx.com/word/Euclidean%20space
MLA
“Euclidean space.” WatkinsX Dictionary, https://dictionary.watkinsx.com/word/Euclidean%20space. Accessed November 4, 2026.
Chicago
WatkinsX Dictionary, s.v. “Euclidean space,” accessed November 4, 2026, https://dictionary.watkinsx.com/word/Euclidean%20space.
Source: Euclidean space on Wiktionary, CC BY-SA 4.0.