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euclidean

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Euclidean¹

  • /juːˈklɪd.i.ən/ UK
  • /juˈklɪd.i.ən/ Canada, US
  • [juˈklɪɾ.i.ən] Canada, US
  • /jʉːˈklɪd.i.ən/ Australia
  • /jʉːˈkləd.i.ən/ New Zealand

Rhymes with -ɪdiən

Where it comes from

Named after Euclid, who established the principles of plane geometry.

adjective Euclidian · euclidian

  1. not comparable Adhering to the principles of traditional geometry, in which parallel lines are equidistant.
  2. not comparable Of or relating to Euclid's Elements, especially to Euclidean geometry.

Opposite: non-Euclidean

Euclidean²

  • /juːˈklɪd.i.ən/ UK
  • /juˈklɪd.i.ən/ Canada, US
  • [juˈklɪɾ.i.ən] Canada, US
  • /jʉːˈklɪd.i.ən/ Australia
  • /jʉːˈkləd.i.ən/ New Zealand

Rhymes with -ɪdiən

Where it comes from

Named after the landmark U.S. Supreme Court case Village of Euclid v. Ambler Realty Co., which in turn refers to the city of Euclid, Ohio.

adjective Euclidian · euclidian

  1. not comparable Of or relating to Euclidean zoning.

euclidean³

Rhymes with -ɪdiən

adjective

  1. alternative, not comparable, rare Alternative spelling of Euclidean If (#92;alpha#95;1,#92;dots,#92;alpha#95;n) is an orthonormal basis of a euclidean space V, then for all #92;alpha,#92;beta in V#92;alpha#61;#92;sum#95;#123;i#61;1#125;ⁿ(#92;alpha#92;vert#92;alpha#95;i)#92;alpha#95;i#92;quad#92;text#123;and#125;#92;quad(#92;alpha#92;vert#92;beta)#61;#92;sum#95;#123;

Thesaurus

adjective

Opposite: non-Euclidean

Translations

Every language

adj of traditional geometry

Españoleuclidiano, euclídeo
Portuguêseuclidiano
Françaiseuclidien
Deutscheuklidisch
Italianoeuclideo
Русскийевкли́дов jevklídov

adj of Euclid's Elements

Españoleuclídeo, euclidiano
Françaiseuclidien
Italianoeuclideo
עבריתאוקלידי uklídi

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Cite this
MLA

"euclidean." Wiktionary, via Micwyn, micwyn.com/word/euclidean. Accessed 6 Nov. 2026.

APA

euclidean. (n.d.). In Wiktionary, via Micwyn. Retrieved November 6, 2026, from https://micwyn.com/word/euclidean

Chicago

"euclidean." Wiktionary, via Micwyn. Accessed November 6, 2026. https://micwyn.com/word/euclidean.

BibTeX
@misc{euclidean_2026,
  title = {euclidean},
  howpublished = {Wiktionary, via Micwyn},
  year = {2026},
  url = {https://micwyn.com/word/euclidean},
  urldate = {2026-11-06}
}