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geometry config in a circle

Source: Mongolia MO 2001 Teachers P5

April 12, 2021

geometry

Problem Statement

Chords

AC

and

BD

of a circle

w

intersect at

E

. A circle that is internally tangent to

w

at a point

F

also touches the segments

DE

and

EC

. Prove that the bisector of

\angle AFB

passes through the incenter of

\triangle AEB

.

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