## Encyclopedia > Hyperboloid

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# Hyperboloid

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

 ${x^2 \over a^2} + {y^2 \over b^2} - {z^2 \over c^2}=1$ (hyperboloid of one sheet),

or

 ${x^2 \over a^2} + {y^2 \over b^2} - {z^2 \over c^2}=-1$ (hyperboloid of two sheets).

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