http://mathworld.wolfram.com/Circle-CircleIntersection.html

I'm having a hard time getting from 7 to 8.

My next goal is to derive the equation for intersecting circle and ellipse

http://mathworld.wolfram.com/Circle-EllipseIntersection.html

and then do some thinkin' and see if I can figure out the equation for an
ellipse intersecting another ellipse.



THEN, if I haven't blown a mental gasket,  figure out how to expand that into
3D, and intersect spheres, oblate and prolate spheroids.

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