I have the equation of a hyper-Paraboloid of revolution:
$2cw=x^2+y^2+z^2$
and the equation of a hyperplane:
$Ax+ By+ Cz+ Dw+E=0$
These do intersect by my construction. How do I find the surface resulting from their intersection?
(which I assume will be a hyper-conic)
I need this surface of intersection in order to take 4 points and define 4 new hyperplanes.
