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hyperboloid

[hahy-pur-buh-loid] /haɪˈpɜr bəˌlɔɪd/
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
1720-1730
1720-30; hyperbol(a) + -oid
Related forms
hyperboloidal, adjective
Dictionary.com Unabridged
Based on the Random House Dictionary, © Random House, Inc. 2014.
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British Dictionary definitions for hyperboloidal

hyperboloid

/haɪˈpɜːbəˌlɔɪd/
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 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 2012 Digital Edition
© William Collins Sons & Co. Ltd. 1979, 1986 © HarperCollins
Publishers 1998, 2000, 2003, 2005, 2006, 2007, 2009, 2012
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hyperboloidal in Science
hyperboloid
  (hī-pûr'bə-loid')   
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 © 2002. Published by Houghton Mifflin. All rights reserved.
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Encyclopedia Article for hyperboloidal

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.

Learn more about hyperboloid with a free trial on Britannica.com
Encyclopedia Britannica, 2008. Encyclopedia Britannica Online.
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