The Math Forum

Search All of the Math Forum:

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

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

Notice: We are no longer accepting new posts, but the forums will continue to be readable.

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

Advanced Search

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

Posts: 171
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.


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

[Privacy Policy] [Terms of Use]

© The Math Forum at NCTM 1994-2018. All Rights Reserved.