MathDB

Around the triangle

ABC

the circle is circumscribed, and at the vertex

{C}

tangent

{t}

to this circle is drawn. The line

{p}

, which is parallel to this tangent intersects the lines

{BC}

and

{AC}

at the points

{D}

and

{E}

, respectively. Prove that the points

A,B,D,E

belong to the same circle.
(Montenegro)

Problem Statement