Euler's rotation theorem
id:
euler-s-rotation-theorem-240-977593
title:
Euler's rotation theorem
text:
In geometry, Euler's rotation theorem states that, in three-dimensional space, any displacement of a rigid body such that a point on the rigid body remains fixed, is equivalent to a single rotation about some axis that runs through the fixed point. It also means that the composition of two rotations is also a rotation. Therefore the set of rotations has a group structure, known as a rotation group. The theorem is named after Leonhard Euler, who proved it in 1775 by means of spherical geometry. T
brand slug:
wiki
category slug:
encyclopedia
description:
Movement with a fixed point is rotation
original url:
https://en.wikipedia.org/wiki/Euler%27s_rotation_theorem
date created:
date modified:
2024-03-26T21:11:14Z
main entity:
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image:
{"content_url":"https://upload.wikimedia.org/wikipedia/commons/5/51/Euler_AxisAngle.png","width":699,"height":729}
fields total:
13
integrity:
15