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Math Forum » Discussions » sci.math.* » sci.math.independent

Topic: Curvature in Cartesian Plane
Replies: 6   Last Post: Nov 15, 2012 8:53 AM

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Brad Cooper

Posts: 167
Registered: 12/8/04
Curvature in Cartesian Plane
Posted: Nov 13, 2012 6:23 PM
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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.

Cheers,
Brad

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