Phrase guide

Euclidean distance

noun · 2 senses · updated from the 2026-07-25 local source snapshot

Definitions and examples are grouped by meaning. Pronunciation, history, word forms, translations, descendants, synonyms, antonyms, derived terms, and related words appear whenever the source provides them.

Sound

Pronunciation

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1

noun

Meaning 1

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

Definition source: English Wiktionary via Wiktextract

Usage: countable, uncountable

Topics: geometry, mathematics, sciences

No example sentence was provided for this meaning.

Meaning relationships

Synonyms: none provided

Antonyms: none provided

2

noun

Meaning 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)=√

d( textbf a, textbf b)=√

Definition source: English Wiktionary via Wiktextract

Usage: countable, uncountable

Topics: geometry, mathematics, sciences

No example sentence was provided for this meaning.

Meaning relationships

Synonyms: none provided

Antonyms: none provided

History

Etymology

No etymology was provided for this word.

Across languages

Translations

9 source translations are retained for this English entry.

  • Bulgarian: 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 — 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
  • German: euklidischer Abstand — 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
  • Hungarian: euklideszi távolság — 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
  • Italian: distanza euclidea — 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
  • Japanese: 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 — 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
  • Spanish: distancia euclidiana — 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
  • Swedish: euklidiskt avstånd — 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