1. CONTINUITY and INFINITY with Circles

A. Construct a circle through three points.

What do you think will happen to the center F of the circle as A moves?

What do you think will happen to the circle when A is near and on and past BC?

Watch what happens to the circle as you move point A past BC.

B. PROVE that if two minor arcs of different circles have the same chord BC, the longer arc is in the circle with the smaller radius.