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Problem
1100: Triangle, Circle, Centers, Vertex, Radius, Angle. Level: High School, SAT Prep, College
Geometry
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In a triangle ABC (see the figure below)
circle of center B meets AB and BC at B1 and B2, respectively,
and circle of center C meets AC and BC at C1 and C2,
respectively. B1B2 and C1C2 meet at D. Prove that .
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