Stage: 4 Challenge Level: 
M is any point on the line AB. Squares of side length AM and MB are constructed and their circumcircles intersect at P (and M).
Prove that the lines AD and BE produced pass through P.
epsilons. Quadrilaterals. Shape, space & measures - generally. Circles. Circle theorems. Pythagoras' theorem. Cyclic. Dynamic geometry. Tangents. Visualising.
Published March 2001.
Copyright © 2007. University of Cambridge. All rights reserved.
NRICH is part of the family of activities in the Millennium Mathematics Project, which also includes the Plus and Motivate sites.
email: nrich@damtp.cam.ac.uk