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: Sticking by my guns by JLo)
Jlo is right. if you think a straight line as an infinite big circle,
the statement is only true with this notion only if the function maps infinite big circle to infinite big circle.
just by looking at the question....the function can map an infinite big circle to a small circle.....
but the idea is creative, i like that
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Posted by henry
on 2006-11-16 16:39:41 |
re(2): Sticking by my guns
