> Although I posed this as a stand-alone question, the actual work I am 
> doing is checking if a line segment intersects a triangle.

So let me understand this, you are constructing two circles, one around the 
line and one around the triangle, then seeing the circles intersect, and if 
they do proceeding to check if the line actually intersects the triangle?

Wouldn't it be faster to just directly check the line against the triangle?

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