Circle through two points & tangent to an arc.

 From:  bemfarmer 30 Oct 2012  (3 of 17) 
5513.3 In reply to 5513.2 
Here is a method, which I have not studied yet:

http://math.stackexchange.com/questions/32386/finding-the-circles-passing-through-two-points-and-touching-a-circle?rq=1

Also attached a .3dm of the problem, from a screen image trace.