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Paraboloid

In mathematics, a paraboloid is a quadric, a type of surface in three dimensions, described by the equation:

<math>
\left( \frac{x}{a} \right) ^2 + \left( \frac{y}{b} \right) ^2 + 2z = 0 </math> (elliptic paraboloid),

or

<math>
\left( \frac{x}{a} \right) ^2 - \left( \frac{y}{b} \right) ^2 + 2z = 0 </math> (hyperbolic paraboloid).

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