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x² + y² = 1
cylinder

x²/a² + y²/b² + z²/c² = 1
ellipsoid

x²/a² + y²/b² = z/c
elliptic parabola

x²/a² - y²/b² = z/c
hyperbolic paraboloid

x²/a² + y²/b² = z²/c²
cone

x²/a² + y²/b² - z²/c² = 1
Hyperboloid of one sheet

-x²/a² - y²/b² + z²/c² = 1
Hyperboloid of two sheets
