Circle of Curvature
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.
Details
Details
H. W. Franke, Animation mit Mathematica, Berlin: Springer, 2002.
External Links
External Links
Permanent Citation
Permanent Citation
Herbert W. Franke
"Circle of Curvature"
http://demonstrations.wolfram.com/CircleOfCurvature/
Wolfram Demonstrations Project
Published: March 7, 2011