Draw a circle and locate a point A outside it. (See figure at top of next page.) Now draw...

Draw a circle and locate a point A outside it. (See figure at top of next page.) Now draw any two lines through A, intersecting the circle at P, Q, R, and S. Draw lines and which determine the points of intersection U and V. Finally, draw line , which intersects the circle at B and C. Do you observe anything special about points B and C? (Draw lines and. What do you observe?) Try this experiment two more times, with point A closer to the circle, then with point A further away.