MathDB

A,B,C,D,E

are points on a circle

O

with radius equal to

r

. Chords

AB

and

DE

are parallel to each other and have length equal to

x

. Diagonals

AC,AD,BE, CE

are drawn. If segment

XY

O

meets

AC

X

and

EC

Y

, prove that lines

BX

and

DY

meet at

Z

on the circle.

Problem Statement