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
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