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x^2 + y^2 + z^2 = 1
Sphere
x^2 + y^2 - c = z
Paraboloid
ax + by + cz = d
Plane
x^2/a^2 + y^2/b^2 + z^2/c^2 = 1
Ellipsoid
x^2 + y^2 = r^2
Cylinder
z^2/c^2 = x^2/a^2 + y^2/b^2
Cone
z/c = x^2/a^2 + y^2/b^2
Elliptic Paraboloid
x^2 + y^2 - z^2 = 1
One sheeted Hyperboloid
x^2 - y^2 + z = 1
Hyperbolic Paraboloid
x^2 + y^2 - z^2 = -1
Two sheeted Hyperboloid