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Forum URL: http://www.cut-the-knot.org/cgi-bin/dcforum/forumctk.cgi
Forum Name: This and that
Topic ID: 86
Message ID: 2
#2, RE: reflection in a curve?
Posted by alexb on Feb-02-01 at 00:16 AM
In response to message #1
LAST EDITED ON Feb-02-01 AT 00:18 AM (EST)

If I may modify my previous post, the situation is probably a little more complex than that.

Instead of saying "Right, this is what you do," I should have said "You are within your rights to do that." Yours may not be the only possible definition of the reflection in a curve. The well known "reflection" in a circle is inversion.

Two points P and Q are inversions of each other in a circle with center O and radius r iff the three points O, P, Q are colinear and OP·OQ = r2.