Drexel dragonThe Math ForumDonate to the Math Forum


Math Forum
 Ask Dr. Math
 Discussions
 Internet Newsletter
 MathTools
 Problems of the Week
 Teacher2Teacher
 Teacher Exchange
 Workshops

Search All of the Math Forum:
Browse our Internet Mathematics Library

Views expressed in these public forums are not endorsed by Drexel University or The Math Forum.


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

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

Advanced Search
Reply to this Topic Reply to this Topic

Back to Topic List Back to Topic List Jump to Tree View Jump to Tree View   Messages: [ Previous | Next ]
Brad Cooper

Posts: 167
Registered: 12/8/04
Curvature in Cartesian Plane
Posted: Nov 13, 2012 6:23 PM
  Click to see the message monospaced in plain text Plain Text   Click to reply to this topic Reply

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

Point your RSS reader here for a feed of the latest messages in this topic.

[Privacy Policy] [Terms of Use]

© Drexel University 1994-2015. All Rights Reserved.
The Math Forum is a research and educational enterprise of the Drexel University School of Education.