hyperbolic paraboloid
noun Date: 1842 a saddle-shaped quadric surface whose sections by planes parallel to one coordinate plane are hyperbolas while those sections by planes parallel to the other two are parabolas if proper orientation of the coordinate axes is assumed

New Collegiate Dictionary. 2001.

Look at other dictionaries:

  • hyperbolic paraboloid — Geom. a paraboloid that can be put into a position such that its sections parallel to one coordinate plane are hyperbolas, with its sections parallel to the other two coordinate planes being parabolas. Cf. elliptic paraboloid. [1835 45] * * * …   Universalium

  • hyperbolic paraboloid — hyperbol′ic parab′oloid n. math. a paraboloid that can be put into a position such that its sections parallel to one coordinate plane are hyperbolas, with its sections parallel to the other two coordinate planes being parabolas • Etymology:… …   From formal English to slang

  • hyperbolic paraboloid — noun : a saddle shaped quadric surface whose sections by planes parallel to one coordinate plane are hyperbolas while those sections by planes parallel to the other two are parabolas if proper orientation of the coordinate axes is assumed …   Useful english dictionary

  • hyperbolic paraboloid of strain — Смотри Параболоид гиперболический деформации …   Энциклопедический словарь по металлургии

  • Paraboloid — of revolution In mathematics, a paraboloid is a quadric surface of special kind. There are two kinds of paraboloids: elliptic and hyperbolic. The elliptic paraboloid is shaped like an oval cup and can have a maximum or minimum point. In a… …   Wikipedia

  • paraboloid — [pə rab′əloid΄] n. a surface or solid formed so that sections parallel to the plane of symmetry are parabolas and sections perpendicular to it are ellipses (elliptic paraboloid), hyperbolas (hyperbolic paraboloid), or circles (paraboloid of… …   English World dictionary

  • paraboloid — paraboloidal /peuh rab euh loyd l, par euh beuh /, adj. /peuh rab euh loyd /, n. Geom. a surface that can be put into a position such that its sections parallel to at least one coordinate plane are parabolas. Cf. elliptic paraboloid, hyperbolic… …   Universalium

  • Hyperbolic geometry — Lines through a given point P and asymptotic to line R. A triangle immersed in a saddle shape plane (a hyperbolic paraboloid), as well as two diverging ultraparall …   Wikipedia

  • elliptic paraboloid — Geom. a paraboloid that can be put into a position such that its sections parallel to one coordinate plane are ellipses, while its sections parallel to the other two coordinate planes are parabolas. Cf. hyperbolic paraboloid. * * * …   Universalium

  • elliptic paraboloid — Geom. a paraboloid that can be put into a position such that its sections parallel to one coordinate plane are ellipses, while its sections parallel to the other two coordinate planes are parabolas. Cf. hyperbolic paraboloid …   Useful english dictionary

Share the article and excerpts

Direct link
Do a right-click on the link above
and select “Copy Link”