2004 OIM Problems/Problem 2
Problem
A circle with center 
and radius 
are considered in the plane and a point 
is considered outside of it. Let 
be a point on the circle and 
be the point diametrically opposite to
. Find the locus of the centers of the circles that pass through 
and when we vary .
~translated into English by Tomas Diaz. ~orders@tomasdiaz.com
Solution
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