# hyperboloid

## hyperboloid

[hahy-pur-buh-loid]
noun Mathematics.
a quadric surface having a finite center and some of its plane sections hyperbolas. Equation: x 2 / a 2 + y 2 / b 2z 2 / c 2 = 1.

Origin:
1720–30; hyperbol(a) + -oid

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Based on the Random House Dictionary, © Random House, Inc. 2014.
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World English Dictionary
 hyperboloid (haɪˈpɜːbəˌlɔɪd) —n a geometric surface consisting of one sheet, or of two sheets separated by a finite distance, whose sections parallel to the three coordinate planes are hyperbolas or ellipses. Equations x²/a² + y²/b² -- z²/c² = 1 (one sheet) or x²/a² -- y²/b² -- z²/c² = 1 (two sheets) where a, b, and c are constants

Collins English Dictionary - Complete & Unabridged 10th Edition
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American Heritage
Science Dictionary
 hyperboloid   (hī-pûr'bə-loid')  Pronunciation Key  Either of two surfaces generated by rotating a hyperbola about either of its main axes and having a finite center, with certain plane sections that are hyperbolas and others that are ellipses or circles.
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Encyclopedia Britannica
Encyclopedia

hyperboloid

the open surface generated by revolving a hyperbola (q.v.) about either of its axes. If the tranverse axis of the surface lies along the x axis and its centre lies at the origin and if a, b, and c are the principal semi-axes, then the general equation of the surface is expressed as x2/a2 y2/b2 - z2/c2 = 1.

Encyclopedia Britannica, 2008. Encyclopedia Britannica Online.
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Example sentences
The hyperboloid kernel, with no statistical meaning or stochastic interpretation, is a good contrary example.
Collision starts from a spherical droplet, and conserving volume between a tangent hyperboloid and the sphere.
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