MathDB

Circle

C

(the center is

C

.) is inside the

\angle XOY

and it is tangent to the two sides of the angle. Let

C_1

be the circle that passes through the center of

C

and tangent to two sides of angle and let

A

be one of the endpoint of diameter of

C_1

that passes through

C

and

B

be the intersection of this diameter and circle

C.

Prove that the cirlce that

A

is the center and

AB

is the radius is also tangent to the two sides of

\angle XOY.

Problem Statement