Evolutes of Some Basic Curves

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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.

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

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


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