Definitions

from The American Heritage® Dictionary of the English Language, 5th Edition.

  • noun Either of two quadric 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.

from The Century Dictionary.

  • noun A quadric surface having a center not at infinity, and some of its plane sections hyperbolas.
  • noun A hyperbola of a higher order.

from the GNU version of the Collaborative International Dictionary of English.

  • noun (Geom.) A surface of the second order, which is cut by certain planes in hyperbolas; also, the solid, bounded in part by such a surface.
  • noun an hyperboloid described by an hyperbola revolving about one of its axes. The surface has two separate sheets when the axis of revolution is the transverse axis, but only one when the axis of revolution is the conjugate axis of the hyperbola.
  • adjective (Geom.) Having some property that belongs to an hyperboloid or hyperbola.

from Wiktionary, Creative Commons Attribution/Share-Alike License.

  • noun A particular surface in three-dimensional Euclidean space, the graph of a quadratic with all three variables squared and their coefficients not all of the same sign.

from WordNet 3.0 Copyright 2006 by Princeton University. All rights reserved.

  • noun a quadric surface generated by rotating a hyperbola around its main axis

Etymologies

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Examples

  • It has 4 nester hyperboloid mirrors and 4 nested paraboloid mirrors to focus the x-rays.

    Podcast: Steampunk Panel at ReaderCon maryrobinette 2008

  • Figure 3 by taking Σ to be the indicated spacelike hyperboloid of (1 + 1) - dimensional Minkowski spacetime.

    Time Machines Earman, John 2004

  • Inside the hyperboloid will be this cylinder of tritium-enriched lithium deuteride. '

    The Sum of all Fears Clancy, Tom, 1947- 1991

  • The big milling machine was working on the final large beryllium component, a large metallic hyperboloid about fifty centimeters in length, with a maximum width of twenty.

    The Sum of all Fears Clancy, Tom, 1947- 1991

  • Armed with this and with the running data from instruments he set out to calculate the hyperboloid by which he intended to pass the Sun.

    The Past Through Tomorrow Heinlein, Robert A. 1967

  • Armed with this and with the running data from instruments he set out to calculate the hyperboloid by which he intended to pass the Sun.

    Methuselah's Children Heinlein, Robert A. 1958

  • They would pass very close to Earth in an hyperboloid at better than five miles per second, Earth relative.

    The Rolling Stones Heinlein, Robert A. 1952

  • The Valkyrie blasted away to shape a fast, almost flat, hyperboloid orbit; she would arrive as soon or sooner than the Nautilus.

    Between Planets Heinlein, Robert A. 1951

  • He put on his control machine the equation of a hyperboloid of two branches, and changed the constants gradually till the two branches came close.

    Invaders from the Infinite John Wood Campbell 1940

  • PRAGUE - Architect Karel Hubacek, whose bold hyperboloid design for an elegant mountain-top hotel was named the most significant Czech building of the 20th century, has died.

    Yahoo! News: Business - Opinion 2011

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