MathDB

Consider parallelogram

ABCD

, with acute angle at

A

AC

and

BD

intersect at

E

. Circumscribed circle of triangle

ACD

intersects

AB

BC

and

BD

K

L

and

P

(in that order). Then, circumscribed circle of triangle

CEL

intersects

BD

M

. Prove that:

KD*KM=KL*PC

Problem Statement