1
(x^2/a^2) + (y^2/b^2) + (z^2/c^2) = 1
Ellipsoid
*All signs are positive
*Always =1
2
(x^2/a^2) + (y^2/b^2) - (z^2/c^2) = 1
Hyperboloid of one sheet
*Two signs are positive, one is negative
*Always =1
3
(x^2/a^2) - (y^2/b^2) - (z^2/c^2) = 1
Hyperboloid of two sheets
*One sign is positive, two are negative
*Always =1
4
(x^2/a^2) + (y^2/b^2) - (z^2/c^2) = 0
Elliptic Cone
*Two signs are positive, one is negative
*Always =0
5
z = (x^2/a^2) + (y^2/b^2)
Elliptic Paraboloid
*Both signs are either positive or negative
*Z is always a single variable
6
z = (x^2/a^2) - (y^2/b^2)
Hyperbolic Paraboloid
*One sign is positive, the other is negative
*Z is always a single variable