(x²/a²) + (y²/b²) + (z²/c²) = 1
Ellipsoid
(x²/a²) + (y²/b²) - (z²/c²) = 1
Hyperboloid of One Sheet
-(x²/a²) - (y²/b²) + (z²/c²) = 1
Hyperboloid of Two Sheets
(x²/a²) + (y²/b²) = (z²/c²)
Elliptic Cone
z = (x²/a²) + (y²/b²)
Elliptic Paraboloid
z = (x²/a²) - (y²/b²)
Hyperbolic Paraboloid