Assignment 7: Circle Tangent to Two Circles

by Shawn Broderick

This is the assignment with the tangent circles. Which means that we are exploring the construction of a circle that is tangent to two circles:

What we want to do is construct a circle that is tangent to both of the circles. Like the red circle in this diagram:

After we make the construction, we investigate the locus of animating the point of tangency on top of the red circle and the large circle. In order to see what happens, click on the GSP file below!

The next situation that I investigated was the circle tangent to two circles and the small circle was outside of the large circle as in this diagram:

We want a tangent circle to the large and small circles like in this diagram: