Question 84
All $O$ An inner point of the sharp triangle $ABC$. . circles centered in the means of the sides of the triangle and passing through $O$, intersects the second time in $K$, $L$ şi $M$. . Prove that $O$ is the center of the circle inscribed in the triangle $KLM$ If and only if $O$ is the center of the circumscribed circle of the triangle $ABC$.