Evolutes of Some Basic Curves

Initializing live version
Download to Desktop

Requires a Wolfram Notebook System

Interact on desktop, mobile and cloud with the free Wolfram Player or other Wolfram Language products.

The line of best fit to a curve at a point is the tangent at the point. The circle of best fit at a point is called the osculating circle. Its center traces out a new curve called the evolute.


The original curve is shown in blue, the evolute in green, and the osculating circle in orange.


Contributed by: Edda Eich-Soellner (March 2011)
Open content licensed under CC BY-NC-SA




Feedback (field required)
Email (field required) Name
Occupation Organization
Note: Your message & contact information may be shared with the author of any specific Demonstration for which you give feedback.