Below, two original
circles are highlighted in black. The common tangent circle and
the locus of its center are highlighted in red. The locus of the
midpoint of the base of the isosceles triangle formed in the construction
is displayed in light blue. Click on each link to see an animation
of the locus. Pictures of the intersecting and disjoint circle
cases can be obtained through the links.
contained in a larger one.
circle is external to common tangent circle.
circle is internal to common tangent circle.
on the animation buttons to see two different common tangents.
One of the
common tangent circles.
common tangent circle.