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hyperboloid

[hahy-pur-buh-loid]
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noun Mathematics.
  1. 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 of hyperboloid

First recorded in 1720–30; hyperbol(a) + -oid
Related formshy·per·bo·loi·dal, adjective
Dictionary.com Unabridged Based on the Random House Unabridged Dictionary, © Random House, Inc. 2018

Examples from the Web for hyperboloid

Historical Examples

  • 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.

    Old and New London

    Walter Thornbury

  • In the first case the surface is called an Hyperboloid of one sheet, in the second an Hyperbolic Paraboloid.


British Dictionary definitions for hyperboloid

hyperboloid

noun
  1. 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 x ²/ a ² + y ²/ b ² – z ²/ c ² = 1 (one sheet) or x ²/ a ² – y ²/ b ² – z ²/ c ² = 1 (two sheets) where a, b, and c are constants
Collins English Dictionary - Complete & Unabridged 2012 Digital Edition © William Collins Sons & Co. Ltd. 1979, 1986 © HarperCollins Publishers 1998, 2000, 2003, 2005, 2006, 2007, 2009, 2012

hyperboloid in Science

hyperboloid

[hī-pûrbə-loid′]
  1. 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.
The American Heritage® Science Dictionary Copyright © 2011. Published by Houghton Mifflin Harcourt Publishing Company. All rights reserved.