MathDB
fixed concurrency point as line passing through a point varies

Source: Polish second round 1993 p2

January 19, 2020
geometryfixedconcurrencyconcurrentFixed point

Problem Statement

Let be given a circle with center OO and a point PP outside the circle. A line ll passes through PP and cuts the circle at AA and BB. Let CC be the point symmetric to AA with respect to OPOP, and let mm be the line BCBC. Prove that all lines mm have a common point as ll varies.
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