hyperboloid

[ hahy-pur-buh-loid ]
/ haɪˈpɜr bəˌlɔɪd /
|

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.

Nearby words

  1. hyperbolic function,
  2. hyperbolic geometry,
  3. hyperbolic paraboloid,
  4. hyperbolism,
  5. hyperbolize,
  6. hyperborean,
  7. hyperboreans,
  8. hypercalcemia,
  9. hypercalciuria,
  10. hypercapnia

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. 2019

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British Dictionary definitions for hyperboloid

hyperboloid

/ (haɪˈpɜːbəˌlɔɪd) /

noun

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

Science definitions for hyperboloid

hyperboloid

[ hī-pûrbə-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 © 2011. Published by Houghton Mifflin Harcourt Publishing Company. All rights reserved.