MathDB
locus, point moves along arc

Source: Bulgaria 1978 P2

June 17, 2021
circlesLocusgeometry

Problem Statement

k1k_1 denotes one of the arcs formed by intersection of the circumference kk and the chord ABAB. CC is the middle point of k1k_1. On the half line (ray) PCPC is drawn the segment PMPM. Find the locus formed from the point MM when PP is moving on k1k_1.
G. Ganchev