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Curvature in Cartesian Plane
Posted:
Nov 13, 2012 6:23 PM


I expect that this is true...
We have three points on a Cartesian xy 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 xy 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.
Cheers, Brad



