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What does hyperboloid mean?

Looking for the meaning or definition of the word hyperboloid? Here's what it means.

Noun
  1. A particular surface in three-dimensional Euclidean space, the graph of a quadratic with all three variables squared and their coefficients not all of the same sign.
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There are flat infinities, hunchback infinities, bubbling infinities, hyperboloid infinities.
To compare this funny word with something more familiar, a hyperboloid is a two-dimensional pseudosphere.
In the first case the surface is called an hyperboloid of one sheet, in the second an Hyperbolic Paraboloid.
In 1826 he generalised his theorem to a hyperboloid of revolution, rather than a cone.
At the top it is gathered into a dome in the form of a hyperboloid, pierced near the vertex with an aperture 12 feet in diameter.
To calculate atomic volumes, the Voronoi cell procedure using hyperboloid interfaces between atoms was applied.

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