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Circular map (Posted on 2006-11-15) Difficulty: 5 of 5
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."

See The Solution Submitted by JLo    
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re(8): Full Proof | Comment 28 of 29 |
(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.

  Posted by JLo on 2006-12-20 14:30:50

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