Hidden Thinking

Hidden world Circles and tangents Construct the two tangents to these circles. Please enable Java for an interactive construction (with Cinderella). Please enable Java for an interactive construction (with Cinderella). Please enable Java for an interactive construction (with Cinderella). This diagram shows three circles and their mutual tangents. The point of intersection of each pair of tangents is also given. What property do these three points have? What happens when you move all three circles within each other? Please enable Java for an interactive construction (with Cinderella).