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单词 hyperboloid
释义

hyperboloid

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

noun Mathematics.

a quadric surface having a finite center and some of its plane sections hyperbolas. Equation: x2/a2 + y2/b2z2/c2 = 1.

Origin of hyperboloid

First recorded in 1720–30; hyperbol(a) + -oid

OTHER WORDS FROM hyperboloid

hy·per·bo·loi·dal, adjective

Words nearby hyperboloid

hyperbolic function, hyperbolic geometry, hyperbolic paraboloid, hyperbolism, hyperbolize, hyperboloid, Hyperborean, hypercalcemia, hypercalciuria, hypercapnia, hypercatalectic
Dictionary.com UnabridgedBased on the Random House Unabridged Dictionary, © Random House, Inc. 2020

Example sentences from the Web for hyperboloid

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

    Encyclopaedia Britannica, 11th Edition, Volume 11, Slice 6|Various
  • 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

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

Scientific 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.
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更新时间:2025/1/9 6:47:29