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
re(7): Full Proof by Tristan)
Congratulations, Tristan, that was some nice piece of geometric puzzling! I admit I had to do some circle-scribbling before getting my head around your post (especially the "But this is geometrically impossible"-statement), but it's a great proof.
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Posted by JLo
on 2006-12-20 14:30:50 |
re(8): Full Proof
