Quadradic surfaces

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Last updated 1:19 AM on 9/22/26
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12 Terms

1
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<p>x^2+y^2+z^2=r^2</p>

x^2+y^2+z^2=r^2

Sphere

2
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<p>x^2-y^2-z^2=1</p>

x^2-y^2-z^2=1

Hyperboloid of two sheets

3
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y^2=z

Parabolic cylinder

4
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<p>z=3x^2+y^2</p>

z=3x^2+y^2

Elliptic paraboloid

5
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<p>x^2+y^2=4</p>

x^2+y^2=4

Circular cylinder

6
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y=sin(x)

Sinusoidal cylinder

7
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<p>z=x^2-y^2</p>

z=x^2-y^2

Hyperbolic paraboloid

8
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(x^2/4)+(y^2/1)+(z^2/9)=1

Ellipsoid

9
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z=sin(x)

Sinusodial cylinder

10
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<p>x^2+y^2-z^2=1</p>

x^2+y^2-z^2=1

Hyperboloid of one sheet

11
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z^2=x

Parabolic cylinder

12
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<p>z=√x^2+y^2</p>

z=√x^2+y^2

Upper half of a cone