hyperboloid


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hyperboloid

[hī′pər·bə‚lȯid]
(mathematics)
A quadric surface given by an equation of the form (x 2/ a 2) ± (y 2/ b 2) - (z 2/ c 2) = 1; in certain cases it is a hyperboloid of revolution, which can be realized by rotating the pieces of a hyperbola about an appropriate axis.
References in periodicals archive ?
LQZ represented movable spherical steel bearing, whereas KZQZ represented movable hyperboloid spherical seismic isolated bearing.
The resulting MSS is a [C.sup.2] continuous surface defined by the convex hull of a set of shrunken spheres in [R.sup.3], which can be decomposed into sphere and hyperboloid patches using the definition of Delaunay and Voronoi complexes.
Newell, "Twisted hyperboloid (strophoid) as a model of [beta]-barrels in proteins," Journal of Molecular Biology, vol.
Surfaces of constant ellipsoidal coordinates: for the ellipsoid, [xi] = 1.2 units, red; for the hyperboloid, [eta] = [pi]/4 units, blue; for the half-plane, equatorial angle [phi] = [pi]/3 rad green.
The external and internal surfaces of the PDL may be presented with the circular hyperboloid or paraboloid
Determination of the critical pressure on the shell outlined on the surface of the hyperboloid of one sheet.
In the far-field case the hyperboloid, which is the locus of points that generates the same TDOA to a microphone pair, can be approximated with the cone whose vertex is located at the midpoint of the array.
where c and k are the parameters of the hyperboloid equation and k > 2 is a constant.
[88] designed a 3-D concentrator and coined the Square elliptical hyperboloid (SEH) to be integrated in either glazing windows or facades for photovoltaic application.
Reynolds, "Hyperbolic geometry on a hyperboloid," The American Mathematical Monthly, vol.
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.
In particular, we will focus on the surfaces of an ellipsoid, a hyperboloid of two sheets and a paraboloid.