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Vector Geometry Problem, Reverse Curves with Tangents

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nobody:
Please see attached.  I used to know how to solve this by drawing circles in autocad but I can't remember how anymore.  Anyone know how to solve this procedurally in cad?  The arcs need to be tangent on both ends with not straight segment in the middle. 

The white lines are at different bearings. Hope it makes sense.

kdub_nz:
It would be serendipitous for your construction method to work with a random middle ( common) tangent point.
By definition, for adjoining arcs, the arc centres and the common tangent point are collinear.

Lee Mac:
I'm sure there is an easier way, but the following demonstrates one possible construction:



Snapping could have been made easier, but I didn't want to change the zoom in order to keep everything in frame.

ChrisCarlson:
Would blend accomplish this task?

lamarn:
Wow! Super animation mr. Lee. :wideeyed2: It doesn't have to be lisp all the time..

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