Construction of Tangent Circle

(smaller given circle internal to tangent)

by

Rita Meyers

To start the construction of a Tangent Circle,
we have 2 given circles
We then construct a line through an
arbitrary point (we'll call point A) on the large circle and the
center of the given circle.
Next construct a circle with the point
A being the center and the radius equal to the radius of the smaller
circle.

Construct a point (we'll call point B) where the
new circle intersects the line internal to the large given circle.
Now construct a line segment from the
center of the small given circle to point B. Then take the midpoint
of this segment and construct the perpendicular bisector of the
segment.
The point (we'll call point C) where
the perpendicular bisector intersects the line drawn through point
A is the center of the circle tangent to both circles where the
smaller circle is external to the tangent circle.
Constructing the circle through point
A with point C being the center gives you your tangent circle.

**Return to Assign 7**