8.6

Part of 2024 Sharygin Geometry Olympiad

Problems(1)

locus of projections from the circumcenter - returns

Source: Sharygin Final 2024 8.6

\omega

a

b

A

B

respectively. An arbitrary tangent to the circle meets

a

b

X

Y

respectively. Points

X'

Y'

are the reflections of

X

Y

A

B

respectively. Find the locus of projections of the center of the circle to the lines

X'Y'

geometrycircumcircleSharygin Geometry OlympiadSharygin 2024reflection