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Sphere
x²/a² + y²/b² + z²/c² = r²

Cylinder
x²/a² + y²/b² = r²

Ellipsoid
x²/a² + y²/b² + z/c = r² (a, b, c are different)

Parabolic Hyperboloid
z/c = x²/a² + y²/b²

Elliptic Parabloid
z/c = x²/a² + y²/b² (a and b are different)
x²/a² + y²/b² + z²/c² = r²
Sphere

x²/a² + y²/b² = r²
Cylinder

z = +/- sqrt(x^2 + y^2
Cone

x²/a² + y²/b² + z/c = r² (a, b, c are different)
Ellipsoid

z/c = x²/a² + y²/b² (a and b are different)
Elliptic Parabloid

z/c = x²/a² - y²/b²
Saddle --parabolic hyperboloid