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Math: Geometry Problem 1008:
Three Equal Tangent Circles, Sum of Tangent Lines,
Tangency Points. Level: School, College.
Three equal circles A, B, and C are
tangent externally (Fig. below). P is a point on the circle O
that is tangent to the three previous circles. PA1, PB1, and PC1
are tangent to circles A, B, and C, respectively. Prove that PA1
= PB1 + PC1.