General Quadratic Surfaces

Some special cases to note
[list][*]oblique elliptical [math]\text{x^2-2xz+z^2+y^2-1=0}[/math][/*][*]oblique parabolic [math]\text{y^2+x+z+1=0}[/math] or [math]\text{x^2+z^2-2yz+x=0}[/math][/*][*]oblique hyperbolic [math]\text{x^2+y^2+z^2-2xy+1=0}[/math] or [math]\text{-x^2+y^2-z^2+2xy+1=0}[/math][br][/*][/list]

Information: General Quadratic Surfaces