MathDB

Given two circles with one of the centers of the circle is on the other circle. The two circles intersect at two points

C

and

D

. The line through

D

intersects the two circles again at

A

and

B

. Let

H

be the midpoint of the arc

AC

that does not contain

D

and the segment

HD

intersects circle that does not contain

H

at point

E

. Show that

E

is the center of the incircle of the triangle

ACD

Problem Statement