Phrase guide

Euler angle

noun · 1 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

Any one of three angles which together describe the orientation of a rigid body with respect to a fixed three-dimensional coordinate system, according to a formalism introduced by Leonhard Euler.

Definition source: English Wiktionary via Wiktextract

Topics: geometry, mathematics, sciences

Examples

  • Euler angles can also represent the orientation of a mobile frame of reference in physics or the orientation of a basis in 3-dimensional linear algebra.

Meaning relationships

Synonyms: none provided

Antonyms: none provided

History

Etymology

Named after Swiss mathematician Leonhard Euler (1707–1783).

Across languages

Translations

4 source translations are retained for this English entry.

  • German: eulerscher Winkel — any one of three angles that describe orientation in a 3-d coordinate system
  • German: Euler-Winkel — any one of three angles that describe orientation in a 3-d coordinate system
  • Italian: angolo di Eulero — any one of three angles that describe orientation in a 3-d coordinate system
  • Romanian: unghi Euler — any one of three angles that describe orientation in a 3-d coordinate system