Summer Tuggle

Assignment
7

Constructing
a tangent circle to two existing circles

We will construct a tangent circle to two existing
circles one that is contained in the other.

The point B lines on line BC

We will construct a radius of circle A and use it to mark
off a circle of the same radius from point C.

We will then construct line segment AD and mark its
midpoint.

From this midpoint we will draw a perpendicular line
bisector. The point E where this bisector intersects with the original line
that contains point B of the larger circle will become the center of our
tangent circle. This circle will have a radius of EC

Click here
for a GSP sketch that you can manipulate.
A tool is also provided on this script.