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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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Some Thoughts Sticking by my guns | Comment 1 of 29
When this problem was in the queue, I suggested that if straight lines are considered as circles of infinite curvature, the problem is obvious.

Of course, JLo shot my idea down, but I still like it!

  Posted by Federico Kereki on 2006-11-15 18:02:49
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