MathDB
French pre-TST-2004/2005 #1

Source: Me

December 20, 2004
geometryincentercircumcirclegeometric transformationreflectionratiodilation

Problem Statement

Let II be the incenter of the triangle ABCABC, et let A′,B′,C′A',B',C' be the symmetric of II with respect to the lines BC,CA,ABBC,CA,AB respectively. It is known that BB belongs to the circumcircle of A′B′C′A'B'C'. Find ABC^\widehat {ABC}. Pierre.
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