

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 B_{1} and B_{2}, respectively,
and circle of center C meets AC and BC at C_{1} and C_{2},
respectively. B_{1}B_{2} and C_{1}C_{2} meet at D. Prove that.







