6

Problems(1)

locus of circumcenters of AMN wanted, variable secant

Source: Spanish Mathematical Olympiad 1970 P6

12/4/2022

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

geometryLocusCircumcenter