# Definition:Rotation (Geometry)/Axis

< Definition:Rotation (Geometry)(Redirected from Definition:Axis of Rotation)

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## Definition

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 $r_\theta$.

## Sources

- 1989: Ephraim J. Borowski and Jonathan M. Borwein:
*Dictionary of Mathematics*... (previous) ... (next): Entry:**axis of rotation** - 2014: Christopher Clapham and James Nicholson:
*The Concise Oxford Dictionary of Mathematics*(5th ed.) ... (previous) ... (next): Entry:**axis of rotation**