Grasshopper

algorithmic modeling for Rhino

I have a pretty simple script of a couple circles with tangent arcs in-between them. What is the quickest way to create the outline of the shape as a single curve? Like a Boolean join for curves?

My images show what I have and what I'm trying to achieve..

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I guess I would use the PolyArc component.

My answer might be biased because of my predilection for the PolyArc component, 
but seeing all four needed points are already there, I just added the starting direction

you could manually intersect the arcs with the circles, find the t-params of intersections, extract subcurves, or shatter and extract correct arcs - or as a cheat, you could draw a planar surface around the curves, use split surface, delete the outermost piece, join the surfaces, and extract the naked polysurface boundary with Brep edges + Join. This latter is closer in function to a "curve boolean" I would think. 

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