Math 2.0

Differential geometry Curves in the plane and in space Concept

Evolute

Summary

The evolute of a plane curve is the curve traced by its centres of curvature. Equivalently, it is the envelope of the normal lines of the curve. The evolute stops moving, and typically has a cusp, at the vertices of the curve, the points where the derivative of the curvature vanishes.

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Further reading

  1. Web https://en.wikipedia.org/wiki/Evolute
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Changed2 November 2026

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