1.) Make a script for construction of the tangent circles. Tangent Circle.gsp

2.) Examine the isosceles triangle formed.

Look at this sketch with GSP. Isoceles Triangle.gsp

3. ) Examine the ellipse (the trace of the locus of the center)

The ellipse represents the locus of the centers of the tangent circles. The ellipse has its focus at the center of the given circles.

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