2003 OIM Problems/Problem 2
Problem
Let 
and 
be two points on the semicircle of diameter 
such that 
and are in different semiplanes with respect to the line 
. Let 
, 
and 
denote the midpoints of 
, 
and 
, respectively. Let 
and 
be the circumcenters of the triangles 
and 
. Show that the lines 
and 
are parallel.
~translated into English by Tomas Diaz. ~orders@tomasdiaz.com
Solution
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