Paula Whitmire

Assignment 7

Tangent Circles

First we construct a small circle inside a larger circle. Then a third circle the same size as the interior circle is constructed as seen below.


Now we will construct the perpendicular bisector of the line connecting the center of the first interior circle and a point on the small circle . Then the center of the new circle is the intersection of the perpendicular line and the first line through the center of the large circle.


Now an isosoceles triangle is formed in yellow.

After animating the small circles , all of my resulting triangles were isosceles. here is one example.



This was a very challenging problem for me.