from The American Heritage® Dictionary of the English Language, 5th Edition.
- noun A surface having parabolic sections parallel to a single coordinate axis and elliptic or circular sections perpendicular to that axis.
from The Century Dictionary.
- noun A solid or surface of the second degree some of whose plane-sections are parabolas.
- noun The solid generated by the revolution of a parabola about its axis; a parabolic conoid.
- noun A curve whose equation is of the form ax = y.
from the GNU version of the Collaborative International Dictionary of English.
- noun (Geom.) The solid generated by the rotation of a parabola about its axis; any surface of the second order whose sections by planes parallel to a given line are parabolas.
from Wiktionary, Creative Commons Attribution/Share-Alike License.
- noun mathematics A
surfacehaving a parabolic cross section parallelto an axis, and circularor ellipticalcross section perpendicularto the axis; especially the surface of revolutionof a parabola.
from WordNet 3.0 Copyright 2006 by Princeton University. All rights reserved.
- noun a surface having parabolic sections parallel to a single coordinate axis and elliptic sections perpendicular to that axis
Sorry, no etymologies found.
A paraboloid is a three-dimensional shape that has two terms of x, y, or z that are squared and one term of x, y, or z that is not.
When one squared term is negative and one is positive, like in the second equation, the paraboloid is a hyperbolic paraboloid (shaped like a saddle When both squared terms are positive, like in the first equation, the paraboloid is an
If you aren't quite sure what a hyperbolic paraboloid is, it's a mathematical term to describe a surface shaped like a saddle.
"Geometrically, it's a hyperbolic paraboloid, but that's not very sexy."
We're back to my hyperbolic, paraboloid, transitional floating zone.
Gaudi, of course, is the leading genius: his structural experiments took off from Catalan Gothic to produce amazing paraboloid arches; his rich details of fauna and flora in iron, stone or wildly colorful bits of tile drew on the work of the best Catalonian craftsmen.
It has 4 nester hyperboloid mirrors and 4 nested paraboloid mirrors to focus the x-rays.
It is not the scope of the synagogue that sets it apart, or the technical marvel of his hallmark hyperbolic paraboloid roofs — which he describes as being shaped something like a Pringles potato chip.
The saddle-shaped structure is also known as a hyperbolic paraboloid surface, or an anticlastic surface.
And interestingly, this turns out -- the stomatopod saddle turns out to be the first described biological hyperbolic paraboloid spring.