Meaning of Euler's rotation theorem | Babel Free

Definitions

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.

Equivalents

Examples

“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.”

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