Circle of Curvature

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The circle of curvature is a visual expression of the curvature of a curve at a given point. The circle of curvature, or osculating circle, of a curve at a point is the circle tangent to the curve with the same curvature. This Demonstration shows the circles of curvature along several curves.


For a nice animation, run the two sliders simultaneously in the back and forth mode.


Contributed by: Herbert W. Franke (March 2011)
Open content licensed under CC BY-NC-SA



H. W. Franke, Animation mit Mathematica, Berlin: Springer, 2002.

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