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Details

Quadric Surface Equations
r=1 equations with a constant on the righthand side, matched with graph names
6
Mathematics
Undergraduate 2
12/06/2010

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Cards

Term
x^2 + y^2 + z^2 = 1
Definition
Ellipsoid
Term
x^2 + y^2 - z^2 = 0
Definition
Cone (around z axis)
Term
x^2 + y^2 - z = 0
Definition
Elliptic Paraboloid (around z axis)
Term
x^2 + y^2 - z^2 = 1
Definition
Hyperboloid of One Sheet (around z axis)
Term
x^2 - y^2 - z = 0
Definition
Hyperbolic Paraboloid (saddle with z as person, y as horse)
Term
- x^2 - y^2 + z^2 = 1
Definition
Hyperboloid of Two Sheets (x and y axes open)
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