Let f be a one-to-one correspondence of the points in a plane. Prove or disprove the following statement:

"If f maps circles to circles, then it maps straight lines to straight lines."

(In reply to A thought by Bernie Hunt)

It's supposed to be a 1-to-1 correspondence.  Sending everything to point P is many-to-1.

Posted by Charlie on 2006-11-16 10:42:11