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Hyperboloid
x²/a² + y²/b² +z²/c²=1
Elliptic Paraboloid
z/c = x²/a² + y²/b²
Hyperbolic Paraboloid
z/c = x²/a² - y²/b²
Elliptic Cylinder
x²/a² + y²/b² = 1
Hyperbolic Cylinder
x²/a² - y²/b² = -1
Parabolic Cylinder
An equation where a plane is missing
Cone
z²/c² = x²/a² + y²/b²
Ellipsoid
x²/a² + y²/b² +z²/c² = 1