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set of midpoints where ends lie on different arcs AB of the same circle

Source: Sharygin 2005 Finals 9.3

August 26, 2019
Locusmidpointsgeometryarc

Problem Statement

Given a circle and points A,BA, B on it. Draw the set of midpoints of the segments, one of the ends of which lies on one of the arcs ABAB, and the other on the second.