Word Pronunciation & Dictionary

euler's rotation theorem

Word Rarity Very rare

Frequency: Zipf frequency 1.72 in modern English

Syllables: eu-ler's ro-ta-tion the-o-rem
IPA

26

Scrabble Score

21

Letters

6

Syllables

12

Unique Chars

Meaning

name

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.

Example Sentences

"Otherwise, this approach will be valid subject to the previous rotation of the axes according to Euler's Rotation Theorem."
"2005, JSME International Journal: Mechanical systems, machine elements and manufacturing, Volume 48, Issue 4, Japan Society of Mechanical Engineers, page 501, According to Euler's rotation theorem, any finite rotation transformations may be described using only three angles defined as Euler angles."
"From Euler's rotation theorem we know that an arbitrary rotation in three dimensions can be parameterized by three independent variables called the Euler angles, each rotating around an orthogonal axis."

Etymology

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

Phrases

Euler angle Euler pole

Frequently Paired Words

Euler angle Euler pole

Questions

What does euler's rotation theorem mean?: 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.
Where does euler's rotation theorem come from?: Named after Swiss mathematician Leonhard Euler (1707–1783), who proved the theorem in 1775.

How to pronounce euler's rotation theorem

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