Let P be a point on a curve. Let C be the center of tangent circle at P. Now, the locus of the vector C-P is the radial of the curve C.
The idea of a radial curve is analogous to the Gauss Map for surfaces.
The radial curve is very much related to curvature of a curve, in that it gives a visual map of a curve's curvature change.
See also: evolute, Curvature.
|equiangular spiral||equiangular spiral|
|cycloid||Kampyle of Eudoxus|
See: Websites on Plane Curves, Printed References On Plane Curves.
Robert Yates: Curves and Their Properties.blog comments powered by Disqus