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hyperboloid

[ hahy-pur-buh-loid ]

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 2 z 2 / c 2 = 1.


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 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

/ 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.


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Other Words From

  • hy·perbo·loidal adjective
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Word History and Origins

Origin of hyperboloid1

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

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.

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

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hyperbolizeHyperborean