1995 OIM Problems/Problem 5
Problem
The circle inscribed in the triangle 
is tangent to 
, 
, and 
at 
, 
, and 
respectively. Suppose that said circle cuts 
again at its midpoint 
, that is, 
. The lines 
and 
again cut the circle inscribed in 
and 
, respectively.
Prove that 
.
~translated into English by Tomas Diaz. ~orders@tomasdiaz.com
Solution
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