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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