#7, RE: A geometry problem from N.A. Court
Posted by hs on Nov-27-08 at 11:48 AM
In response to message #1
Alex, For the problem from Court you used a property of inversion
that Tvarhegyi didn't know. It wasn't necessary. Let A be the point
and S_{0} the circle with centre O. Take any diameter BC not assing
through A and draw the circle S_{1} through A,B,C. Any circle that
goes through A and the intersection of S_{1} with AO produced will
meet S_{0} in diametrically opposite points because the three radical axes meet at O.
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