Last Updated :2025/12/06

Euler's rotation theorem

Proper noun
Japanese Meaning
オイラーの回転定理(幾何学):3次元空間において、ある点が固定された剛体の任意の変位は、その固定点を通るある軸周りの単一の回転と同等であるという定理。
What is this buttons?

講義で教授は、オイラーの回転定理が、空間である点を固定したままの剛体の変位がある軸のまわりの単一の回転として表せることを保証する、と説明した。

Quizzes for review

(geometry) 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.

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Euler's rotation theorem

In his lecture, the professor explained how Euler's rotation theorem guarantees that any fixed-point displacement in space can be represented as a single rotation about some axis.

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In his lecture, the professor explained how Euler's rotation theorem guarantees that any fixed-point displacement in space can be represented as a single rotation about some axis.

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