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locus of P, ACP equilateral, C moves along a circle 1991 Kyiv City MO 7.4

Source:

July 18, 2021
geometryLocusEquilateral

Problem Statement

Given a circle, point CC on it and point AA outside the circle. The equilateral triangle ACPACP is constructed on the segment ACAC. Point CC moves along the circle. What trajectory will the point PP describe?