### Tangent Circles

by
#### Julia Neal

#### Given two Circles, find the circle tangent
to the two circles. This exercise is interesting to look at for
the different cases.

**Case 1**: One circle is INSIDE the other. In this case, there
are actually two different circles that will be tangent to our
original circle.

**Case 2**: The circles intersect. In this case, there are still
two tangent circles.

**Case 3**: The two circles are disjoint. The result is two tangent
circles with one so large it approaches being a line.

Click **here**
to open a GSP sketch with a tool to construct the circles tangent
to two given circles.

#### Given a circle and a line, construct the circle
tangent to the circle (at an arbitrary point P) and the line.

Click **here**
to proceed to this discussion.

Click **here**
to open a GSP sketch with a tool to construct the circles tangent
to the circle and line.

Click **here**
to return to Julie's main page