Meanings
euclidean1
- alternativenot comparablerareAlternative spelling of Euclidean.
1 more example
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;i#61;1#125;ⁿ(#92;alpha#92;vert#92;alpha#95;i)(#92;beta#92;vert#92;alpha#95;i).We turn now to a somewhat more profound matter. Suppose that we partially order by inclusion the collection of all orthonormal sets of vectors in a euclidean space V. A maximal element of this set is called a maximal orthonormal set.
1968, Robert R. Stoll, Edward T. Wong, Linear Algebra, London: Academic Press, →LCCN, page 76
Euclidean2
alternative Euclidian · alternative euclidian
- not comparablegeometryAdhering to the principles of traditional geometry, in which parallel lines are equidistant.
- not comparableOf or relating to Euclid's Elements, especially to Euclidean geometry.
Euclidean3
alternative Euclidian · alternative euclidian
- not comparableOf or relating to Euclidean zoning.
Synonyms & antonyms
adjectiverelating to geometry as developed by Euclid
Synonym sets from Open English WordNet, CC BY 4.0.
Origin
Euclidean · adjective
Named after Euclid, who established the principles of plane geometry.
Full word history & related roots →Euclidean · adjective
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.
Full word history & related roots →Translations
Bengali ইউক্লিডীয়
- ইউক্লিডীয় (iukliḍiẏo)of traditional geometry
Catalan euclidià, euclidià
- euclidiàof traditional geometry
- euclidiàof Euclid's Elements
Czech euklidovský
- euklidovskýof traditional geometry
Danish euklidisk
- euklidiskof traditional geometry
Dutch euclidisch
- euclidischof traditional geometry
Finnish euklidinen, euklidinen
- euklidinenof traditional geometry
- euklidinenof Euclid's Elements
French euclidien, euclidien
- euclidienof traditional geometry
- euclidienof Euclid's Elements
German euklidisch
- euklidischof traditional geometry
Hebrew אוקלידי
- אוקלידי (uklídi)of Euclid's Elements
Hungarian euklideszi
- euklidesziof traditional geometry
Italian euclideo, euclideo
- euclideoof traditional geometry
- euclideoof Euclid's Elements
Norwegian Bokmål euklidsk, evklidsk
- euklidskof traditional geometry
- evklidskof traditional geometry
Persian اقلیدسی
- اقلیدسیof traditional geometry
Polish euklidesowy, euklidesowy
- euklidesowyof traditional geometry
- euklidesowyof Euclid's Elements
Portuguese euclidiano
- euclidianoof traditional geometry
Russian евкли́дов
- евкли́дов (jevklídov)of traditional geometry
Spanish euclidiano, euclídeo
- euclidianoof traditional geometry
- euclídeoof traditional geometry
- euclídeoof Euclid's Elements
- euclidianoof Euclid's Elements
Swedish euklidisk, euklidisk
- euklidiskof traditional geometry
- euklidiskof Euclid's Elements
Welsh Ewclidaidd
- Ewclidaiddof traditional geometry
Rhymes & wordplay
Rhymes with euclidean
Cite this entry
euclidean. (n.d.). In WatkinsX Dictionary. Retrieved November 3, 2026, from https://dictionary.watkinsx.com/word/euclidean
“euclidean.” WatkinsX Dictionary, https://dictionary.watkinsx.com/word/euclidean. Accessed November 3, 2026.
WatkinsX Dictionary, s.v. “euclidean,” accessed November 3, 2026, https://dictionary.watkinsx.com/word/euclidean.
Source: euclidean on Wiktionary, CC BY-SA 4.0.