Let PQ be a diameter of a circle,
     A be a point on line PQ such that P lies between A and Q,
     T be a point on the circle such that line AT is tangent to the circle,
     B be the point on line QT such that line BP is perpendicular to line PQ, and
     C be the point on line PT such that line CQ is perpendicular to line PQ.

Prove that points A, B, and C are collinear.

(In reply to re: counterproof (maybe) by Charlie)

thank you, I now realize that my error had nothing to do with my geometric ability/inability but with my inability to properly read the problem :-).  I read it as BP perpendicular to PT not PQ

Posted by Daniel on 2009-12-12 16:00:17