MathDB

suppose that

O

is the circumcenter of acute triangle

ABC

. we have circle with center

O

that is tangent too

BC

that named

w

suppose that

X

and

Y

are the points of intersection of the tangent from

A

w

with line

BC

(

X

and

B

are in the same side of

AO

)

T

is the intersection of the line tangent to circumcirle of

ABC

B

and the line from

X

parallel to

AC

S

is the intersection of the line tangent to circumcirle of

ABC

C

and the line from

Y

parallel to

AB

. prove that

ST

is tangent

ABC

Problem Statement