Let
f be a
onetoone 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."
If A and B are distinct points, then they determine a line m. f(A) and f(B) are distinct points that determine a line n. When you say that f maps lines to lines do you mean
n = { f(P)  P in m }
or
{ f(P)  P in m } is a subset of n ?
Edited on November 16, 2006, 5:41 pm

Posted by Bractals
on 20061116 17:37:48 