Hey guys!

Point O belongs to the interior af a triangleABC. LinesAO, BO, COcut the sides of a triangleBC, CA, ABrespectively in points:K, L, M. Prove that:

$\displaystyle \frac{|AM|}{|MB|}* \frac{|BK|}{|KC|}* \frac{|CL|}{|LA|}=1$

Thank You in advance!