Tangent Circles

By Alicia Rosenberger

Given two circles and a point on one of the circles. Construct a circle tangent to the two circles with one point of tangency being the designated point.

This is what we will have:

Now we will have 3 cases, for which I have created script tools:

i. When one given circle lies completely inside the other:

tangent circles, one inside the other

ii. When the two given circles over lap:

tangent circles, overlapping

iii When the two given circles are disjoint:

tangent circles, disjoint