Category:Involutes

This category contains results about Involutes.
Definitions specific to this category can be found in Definitions/Involutes.

Let $\CC$ be a curve $C$ embedded in a plane.

Definition $1$

Let $\LL$ be the locus of a fixed point on a tangent to $\CC$ as it rolls around $\CC$.

The curve $\LL$ is the involute of $\CC$.

Definition $2$

Imagine an ideal (zero thickness) cord $K$ wound round $\CC$.

The involute of $\CC$ is the locus of the end of $K$ as it is unwound from $\CC$.