Definition:Involute

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Definition

Consider a curve $C$ embedded in a plane.

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

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


Also see


Historical Note

The concept of the involute of a curve in the plane was first introduced by Christiaan Huygens during his analysis of the cycloid in his $1673$ treatise Horologium Oscillatorium sive de Motu Pendularium.


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