# Pairwise Tangent Circles Centered at the Vertices of a Triangle

Pairwise Tangent Circles Centered at the Vertices of a Triangle

Let P, Q, and R be the points of tangency of the incircle with the sides of a triangle ABC. Draw circles with centers at A, B, and C that go through P, Q, and R as in the figure. Then those three circles are pairwise tangent.