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angle bisector wanted, 2 internally tangent circles

Source: Polish MO Recond Round 1981 p2

September 9, 2024
geometryangle bisectorcircles

Problem Statement

Two circles touch internally at point PP. A line tangent to one of the circles at point AA intersects the other circle at points BB and CC. Prove that the line PA PA is the bisector of the angle BPC BPC .
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