Date: Nov 13, 2012 6:23 PM Author: Brad Cooper Subject: Curvature in Cartesian Plane I expect that this is true...
We have three points on a Cartesian x-y plane, and the circle that passes through these three points has a constant curvature of k.
If we have a doubly differentiable curve in the x-y plane that passes through these points, is there always some point on the curve which has curvature k?
I am finding it tough to prove this. Any help appreciated.