Circle of Curvature

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.


  • [Snapshot]
  • [Snapshot]
  • [Snapshot]


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

Embed Interactive Demonstration New!

Just copy and paste this snippet of JavaScript code into your website or blog to put the live Demonstration on your site. More details »

Files require Wolfram CDF Player or Mathematica.