3D Conics

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14 Terms

1
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Parabola

x² = 4py

2
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Ellipse

x²/a² + y²/b² = 1

3
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Hyperbola

x²/a² - y²/b² = 1

4
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Ellipsoid

x²/a² + y²/b² + z²/c² = 1

5
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Elliptical Paraboloids

x²/a² + y²/b² = z/c

6
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Hyperbolic Paraboloids

x²/a² - y²/b² = z/c

7
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Elliptical Cones 

x²/a² + y²/b² = z²/c²

8
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Hyperboloid of 1 Sheet

x²/a² + y²/b² - z²/c² = 1

9
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Hyperboloid of 2 Sheets

x²/a² - y²/b² - z²/c² = 1

10
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Elliptical Paraboloid

y = x²+z²

11
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Hyperboloid of 2 Sheets

y² = x² + z² + 1

12
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Hyperboloid of 1 Sheet

y² = x² + z² - 1

13
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Hyperbolic Paraboloid

y = x² - z²

14
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Elliptical Paraboloid

z = 25 - x² - y²