Euclidean distance

noun

The distance between two points defined as the square root of the sum of the squares of the differences between the corresponding coordinates of the points; for example, in two-dimensional Euclidean geometry, the Euclidean distance between two points a = (aₓ, a_y) and b = (bₓ, b_y) is defined as

Meanings

nounEuclidean distance (countable and uncountable, plural Euclidean distances)

plural Euclidean distances · alternative euclidean distance

  1. countableuncountablegeometryThe distance between two points defined as the square root of the sum of the squares of the differences between the corresponding coordinates of the points; for example, in two-dimensional Euclidean geometry, the Euclidean distance between two points a = (aₓ, a_y) and b = (bₓ, b_y) is defined as
  2. The distance between two points defined as the square root of the sum of the squares of the differences between the corresponding coordinates of the points; for example, in two-dimensional Euclidean geometry, the Euclidean distance between two points a = (aₓ, a_y) and b = (bₓ, b_y) is defined as: d( textbf a, textbf b)=√(( textbf aₓ- textbf bₓ)²+( textbf a_y- textbf b_y)²)
    1. countableuncountablegeometryd( textbf a, textbf b)=√(( textbf aₓ- textbf bₓ)²+( textbf a_y- textbf b_y)²)

Synonyms & antonyms

Translations

Bulgarian евклидово разстояние
  • евклидово разстояние (evklidovo razstojanie)distance between two points defined as the square root of the sum of the squares of the differences between the corresponding coordinates of the points
Finnish euklidinen etäisyys
  • euklidinen etäisyysdistance between two points defined as the square root of the sum of the squares of the differences between the corresponding coordinates of the points
German euklidischer Abstand
  • euklidischer Abstanddistance between two points defined as the square root of the sum of the squares of the differences between the corresponding coordinates of the points
Hungarian euklideszi távolság
  • euklideszi távolságdistance between two points defined as the square root of the sum of the squares of the differences between the corresponding coordinates of the points
Italian distanza euclidea
  • distanza euclideadistance between two points defined as the square root of the sum of the squares of the differences between the corresponding coordinates of the points
Japanese ユークリッド距離
  • ユークリッド距離 (Yūkuriddo kyori)distance between two points defined as the square root of the sum of the squares of the differences between the corresponding coordinates of the points
Romanian distanță euclidiană
  • distanță euclidianădistance between two points defined as the square root of the sum of the squares of the differences between the corresponding coordinates of the points
Spanish distancia euclidiana
  • distancia euclidianadistance between two points defined as the square root of the sum of the squares of the differences between the corresponding coordinates of the points
Swedish euklidiskt avstånd
  • euklidiskt avstånddistance between two points defined as the square root of the sum of the squares of the differences between the corresponding coordinates of the points
Cite this entry
APA

Euclidean distance. (n.d.). In WatkinsX Dictionary. Retrieved November 4, 2026, from https://dictionary.watkinsx.com/word/Euclidean%20distance

MLA

“Euclidean distance.” WatkinsX Dictionary, https://dictionary.watkinsx.com/word/Euclidean%20distance. Accessed November 4, 2026.

Chicago

WatkinsX Dictionary, s.v. “Euclidean distance,” accessed November 4, 2026, https://dictionary.watkinsx.com/word/Euclidean%20distance.

Source: Euclidean distance on Wiktionary, CC BY-SA 4.0.