In a triangle ABC, the cevians AA1,
BB1, and CC1 are concurrent at D (see figure below).
The circumcircle of the triangle A1B1C1
cuts BC, AC, and AB at A2, B2, and C2,
respectively. Prove that the cevians AA2, BB2,
and CC2 are concurrent.
![Geometry Problem 1235: Triangle, Cevians, Concurrency, Circle, Circumcircle.](p1235-triangle-cevian-concurrent-circle.gif)
Geometry Problem 1233 in Motion
Click on the figure below.
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