Euclidean

See also: euclidean

English

Alternative forms

• Euclidian

Pronunciation

• (UK, US) IPA^(key): /juːˈklɪd.i.ən/
• Rhymes: -ɪdiən

Etymology 1

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

Adjective

Euclidean (not comparable)

1. (geometry) Adhering to the principles of traditional geometry, in which parallel lines are equidistant.
2. Of or relating to Euclid's Elements, especially to Euclidean geometry.

Antonyms

• non-Euclidean

Coordinate terms

• hyperbolic, Minkowskian

Derived terms

• Euclidean algorithm
• Euclidean distance
• Euclidean geometry
• Euclidean group
• Euclideanness
• Euclidean relation
• Euclidean space

Translations

of traditional geometry

• Bengali: ইউক্লিডীয় (iukliḍiẏo)
• Catalan: euclidià
• Czech: euklidovský
• Danish: euklidisk
• Dutch: euclidisch (nl)
• Finnish: euklidinen (fi)
• French: euclidien (fr)
• German: euklidisch (de)
• Hungarian: euklideszi (hu)
• Italian: euclideo (it)
• Norwegian:

  Bokmål: euklidsk, evklidsk

  Nynorsk: euklidsk, evklidsk

• Persian: اقلیدسی (fa)
• Portuguese: euclidiano (pt)
• Russian: евкли́дов (ru) (jevklídov)
• Spanish: euclidiano, euclídeo
• Swedish: euklidisk (sv)

of Euclid's Elements

• Catalan: euclidià
• Finnish: euklidinen (fi)
• French: euclidien (fr)
• Hebrew: אוקלידי (uklídi)
• Italian: euclideo (it)
• Spanish: euclídeo, euclidiano
• Swedish: euklidisk (sv)

Etymology 2

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

Euclidean (not comparable)

1. Of or relating to Euclidean zoning.