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Euler's rotation theorem

Euler's rotation theorem proper noun: a theorem which states that, in 3-dimensional space, any displacement of a rigid body such that some point on it remains fixed is equivalent to a single rotation about some axis that runs through said point.

Proper noun

Euler's rotation theorem

  1. A theorem which states that, in 3-dimensional space, any displacement of a rigid body such that some point on it remains fixed is equivalent to a single rotation about some axis that runs through said point.
    • Otherwise, this approach will be valid subject to the previous rotation of the axes according to Euler's Rotation Theorem.2003, On the Move to Meaningful Internet Systems 2003: CoopIS, DOA, and ODBASE, Proceedings, page 136
    • According to Euler's rotation theorem, any finite rotation transformations may be described using only three angles defined as Euler angles.2005, JSME International Journal: Mechanical systems, machine elements and manufacturing, Volume 48, Issue 4, Japan Society of Mechanical Engineers, page 501

Origin of Euler's rotation theorem

Named after Swiss mathematician Leonhard Euler (1707–1783), who proved the theorem in 1775.

Questions about Euler's rotation theorem

What does Euler's rotation theorem mean?
Euler's rotation theorem means a theorem which states that, in 3-dimensional space, any displacement of a rigid body such that some point on it remains fixed is equivalent to a single rotation about some axis that runs through said point.
What part of speech is Euler's rotation theorem?
Euler's rotation theorem is a proper noun.

Words near Euler's rotation theorem in the dictionary

  1. Euler's formula
  2. Euler's identity
  3. Euler's method
  4. Euler's number
  5. Euler's polyhedron formula
  6. Euler's rotation theorem
  7. Euler's totient function
  8. Euler-Fokker genus
  9. Euler-Lagrange equation
  10. Euler-Lagrange equations
  11. Euler-Maclaurin formula

Source and license

Adapted from Wiktionary: Euler's rotation theorem (page history and authors). Text available under the Creative Commons Attribution-ShareAlike 4.0 license. Word.ws reformatted the entry and added links. Wiktionary data of 2026-09-02.

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