Definition:Rotation (Geometry)/Axis

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Let $r_\theta$ be a rotation in the Euclidean Space $\Gamma = \R^n$.

The set $A$ of points in $\Gamma$ such that:

$\forall P \in A: \map {r_\theta} P = P$

is called the axis of rotation of $r_\theta$.

Also known as

An axis of rotation of a rotation in the plane is usually called a center of rotation.

In British English, this is spelt centre of rotation