Definition:Rotation (Geometry)/Axis

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 $r_\theta$.

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

Sources

• 1989: Ephraim J. Borowski and Jonathan M. Borwein: Dictionary of Mathematics ... (previous) ... (next): axis of rotation
• 1989: Ephraim J. Borowski and Jonathan M. Borwein: Dictionary of Mathematics ... (previous) ... (next): rotation
• 1998: David Nelson: The Penguin Dictionary of Mathematics (2nd ed.) ... (previous) ... (next): axis: 3. (axis of revolution or rotation)
• 1998: David Nelson: The Penguin Dictionary of Mathematics (2nd ed.) ... (previous) ... (next): rotation: 1.
• 2008: David Nelson: The Penguin Dictionary of Mathematics (4th ed.) ... (previous) ... (next): axis: 3. (axis of revolution or rotation)
• 2008: David Nelson: The Penguin Dictionary of Mathematics (4th ed.) ... (previous) ... (next): rotation: 1.