Quadratic Surfaces

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Last updated 1:16 AM on 9/1/26
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6 Terms

1
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Ellipsoid

x²/a² + y²/b² + z²/c² =1

<p>x²/a² + y²/b² + z²/c² =1</p>
2
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<p>Elliptic Parabaloid</p>

Elliptic Parabaloid

z=x²/a² + y²/b²

3
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<p>Hyperbolic paraboloid</p>

Hyperbolic paraboloid

z= -x²/a² +y²/b²

4
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<p>Hyperboloid of 1 sheet</p>

Hyperboloid of 1 sheet

x²/a² + y²/b² -z²/c² = 1

5
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<p>Hyperboloid of 2 sheets</p>

Hyperboloid of 2 sheets

-x²/a² -y²/b² +z²/c² = 1

6
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<p>Elliptic Cone</p>

Elliptic Cone

x²/a² +y²/b² - z²/c² = 0