Talk:Euler's theorem (rotation): Difference between revisions

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imported>Paul Wormer
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imported>Jitse Niesen
(what is a rotation?)
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== What is a rotation? ==
As I understand the first sentence, a rotation is defined to be "a motion of the rigid body that leaves at least one point of the body in place", but what is a rigid body motion? I think SE(3), i.e., all transformations of the form
:<math> \bold{x} \mapsto \bold{Rx} + \bold{b} </math>
with '''R''' in SO(3), however that does not seem to be what is meant in the article. -- [[User:Jitse Niesen|Jitse Niesen]] 10:50, 14 May 2009 (UTC)

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 Definition In three-dimensional space, any rotation of a rigid body is around an axis, the rotation axis. [d] [e]
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What is a rotation?

As I understand the first sentence, a rotation is defined to be "a motion of the rigid body that leaves at least one point of the body in place", but what is a rigid body motion? I think SE(3), i.e., all transformations of the form

with R in SO(3), however that does not seem to be what is meant in the article. -- Jitse Niesen 10:50, 14 May 2009 (UTC)