Let A and B be different points on a circle with center O. With only a straightedge and a compass, can you construct a straight line through O meeting the segment AB at C, C strictly between A and B, and meeting the circle at D, so that C is between O and D and the segments AC and AD have the same length?

(In reply to solution by Charlie)

Just lovely, Charlie!  I will change my solution to yours, crediting you with the solution.

 

Posted by McWorter on 2005-07-21 00:08:57