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circumcenter construction, ruler only, given circumcircle, incenter

Source: XII All-Ukrainian Tournament of Young Mathematicians, Qualifying p2

May 27, 2021
geometryconstructionRulerincenterUkrainian TYM

Problem Statement

The figure shows a triangle, a circle circumscribed around it and the center of its inscribed circle. Using only one ruler (one-sided, without divisions), construct the center of the circumscribed circle.