hyperboloid


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Related to hyperboloid: Hyperboloid of two sheets, Elliptic cylinder
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hyperboloid
top: hyperboloid of one sheet
bottom: hyperboloid of
two sheets

hy·per·bo·loid

 (hī-pûr′bə-loid′)
n.
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.

hy·per′bo·loid′al (-loid′l) adj.

hyperboloid

(haɪˈpɜːbəˌlɔɪd)
n
(Mathematics) 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 x2/a2 + y2/b2z2/c2 = 1 (one sheet) or x2/a2y2/b2z2/c2 = 1 (two sheets) where a, b, and c are constants

hy•per•bo•loid

(haɪˈpɜr bəˌlɔɪd)

n.
a quadric having a finite center and some of its plane sections hyperbolas. Equation: x2/a2 + y2/b2z2/c2= 1.
[1720–30]
hy•per`bo•loi′dal, adj.
ThesaurusAntonymsRelated WordsSynonymsLegend:
Noun1.hyperboloid - a quadric surface generated by rotating a hyperbola around its main axishyperboloid - a quadric surface generated by rotating a hyperbola around its main axis
quadric, quadric surface - a curve or surface whose equation (in Cartesian coordinates) is of the second degree
References in periodicals archive ?
Equation 2 is a hyperboloid in which the exponent s may represent the psychophysical and nonlinear scaling of amount and time (see Myerson & Green, 1995, for a derivation).
The normalized vector x lies on the one-sheet hyperboloid H = {x [member of] V |B(x, x) = 1}.
An open problem proposes a mathematical task for researchers to derive a formula for the volume of a pyramid whose base is a slice of a hyperboloid surface.
To overcome this problem, de Sitter found a solution by extending Einstein's cosmology in three-dimensional space to the four dimensional Minkowski space-time --a world of hyperboloid shape--and with no matter.
The Fulton Center's most prominent architectural feature is the oculus: a slanted, hyperboloid domed atrium composed of glass and steel that creates a dynamic civic space.
Determination of the critical pressure on the shell outlined on the surface of the hyperboloid of one sheet.
The upper portion has a slight hyperboloid shape, the middle part includes a decorative carved anthropomorphic figurine, and the lower section is cylindrical.
4) The reduction in thickness is possible through the use of hyperboloid surfaces, which means that the lens is flatter, which reduces the lens sag, which in turn reduces lens thickness (see the first article of this series, OT August 17, 2012).
The current point of the spatial curve placed on the hyperboloid is A([x.
The Burj Al Alam (World Tower) was a proposed 108-story, 510 m hyperboloid (an architectural structure designed with hyperbolic geometry) skyscraper in the Business Bay area of Dubai.
Polarization-sensitive in an anisotropic metamaterial with double-sheeted hyperboloid dispersion relation.
Both sections of an hyperboloid appear on the cover.