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**bcdave** Greetings all. I appreciate in advance any assistance you can provide. This is a real world problem for which I am able to construct a solution in a CAD system, however, I need to figure out how to determine this mathmatically. I am normally pretty confident with trig, but this one has me stumped. This has become a fairly common scenario in my line of work and neither myself, nor my coworkers have been able to figure out a solution without the use of snap tangent in a CAD system.

Reference the attached CAD drawing. Known values are B, D, W, X, Y, C1 and R1. Points A and C are arbitrary extensions of a line originating at B and D respectively. With the given information, I need to construct an arc which is tangent to arc XY and line CD.

I have been trying to determine a method that would give me the distance from D to Z, R2 and degrees of turn. However, I have not come up with anything even close to a workable solution. Again, any assistance is very much appreciated. Thanks.