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locus of circumcenters of AMN wanted, variable secant

Source: Spanish Mathematical Olympiad 1970 P6

December 4, 2022

geometryLocusCircumcenter

Problem Statement

Given a circle

\gamma

and two points

A

and

B

in its plane. By

B

passes a variable secant that intersects

\gamma

at two points

M

and

N

. Determine the locus of the centers of the circles circumscribed to the triangle

AMN