MathDB

M

is midpoint of

BC

P

is an arbitary point on

BC

C_{1}

is tangent to big circle.Suppose radius of

C_{1}

r_{1}

Radius of

C_{4}

is equal to radius of

C_{1}

and

C_{4}

is tangent to

BC

at P.

C_{2}

and

C_{3}

are tangent to big circle and line

BC

and circle

C_{4}

. http://aycu01.webshots.com/image/4120/2005120338156776027_rs.jpg Prove :

r_{1}+r_{2}+r_{3}=R

(

R

radius of big circle)

Problem Statement