Crossword clues for paraboloid
The Collaborative International Dictionary
Conoid \Co"noid\ (k[=o]"noid), n. [Gr. kwnoeidh`s conical; kw^nos cone + e'i^dos form: cf. F. cono["i]de.]
Anything that has a form resembling that of a cone.
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(Geom.)
A solid formed by the revolution of a conic section about its axis; as, a parabolic conoid, elliptic conoid, etc.; -- more commonly called paraboloid, ellipsoid, etc.
A surface which may be generated by a straight line moving in such a manner as always to meet a given straight line and a given curve, and continue parallel to a given plane.
--Math. Dict.
Wiktionary
n. (context mathematics English) A surface having a parabolic cross section parallel to an axis, and circular or elliptical cross section perpendicular to the axis; especially the surface of revolution of a parabola.
WordNet
n. a surface having parabolic sections parallel to a single coordinate axis and elliptic sections perpendicular to that axis
Wikipedia
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 suitable coordinate system with three axes , , and , it can be represented by the equation
$$\frac{z}{c} = \frac{x^2}{a^2} + \frac{y^2}{b^2}.$$
where and are constants that dictate the level of curvature in the and planes respectively. This is an elliptic paraboloid which opens upward for and downward for .
The hyperbolic paraboloid (not to be confused with a hyperboloid) is a doubly ruled surface shaped like a saddle. In a suitable coordinate system, a hyperbolic paraboloid can be represented by the equation
$$\frac{z}{c} = \frac{y^2}{b^2} - \frac{x^2}{a^2}.$$
For , this is a hyperbolic paraboloid that opens down along the -axis and up along the -axis (i.e., the parabola in the plane opens upward and the parabola in the plane y=0 opens downward).
Usage examples of "paraboloid".
X-rays bounced off the nest of paraboloid reflectors and hit the scanning focus.
The reflector family: single, dual, paraboloid, spherical, cylindrical, off-set, multi-beam, contoured, hybrid, tracking .
Beyond the flattened ramps and pads it was studded with paraboloid hills and balanced spheres of matter.
He entered a perfectly circular room with vitreous walls and a high paraboloid dome.
Two paraboloid dishes sprouted from its top, one round for radio and microwave, the other elongated, for radar.
Half an hour later, shielded from the wind by a paraboloid force field, Svetz was streaking down the road at sixty miles per hour.
Lacus Solis came to a focus: a marble-white amphitheatre, with a perfect paraboloid floor which reflected the light back up against the icy sky in an almost solid-looking column.
He passed a group of technicians, not quickly enough to avoid hearing the reason for the scene: the hyperbolic paraboloid dome of the new church had a refractory habit of throwing down tinny echoes, as if a whiny, adenoidal God were parodically repeating everything said.
He lay, head and shoulders circled by the intense halo of a paraboloid reading light.
In reality he was almost completely lost in a soundless, sardonic glee over the triangular death-struggle which was nearing its climax beyond the inner wall of his studio, and which was magnified in his remarkable mind to an incredible degree by the paraboloid mirror of the illuminator.
A few months ago, however, it was announced that Russian engineers had developed a cheap and simple method for constructing paraboloid mirrors of large size, capable of producing superheated steam and even of melting iron.
Gateway, and below their giant twin paraboloid zeniths a gemmed altar that demands, recorded, to let it give you a break.
They'd tried, among other methods, a rocket-fuel flame thrower, an electric-arc furnace, and a large, sunlight-concentrating, paraboloid mirror.
They moved on to the first chemistry exhibit, which showed the paraboloid bowl at the bottom of the well, with a translucent electric-blue bell-shape superimposed over it: the lepton wave in its lowest-energy, ground state.
A chain of small pink hills, hyperbolic paraboloid saddles precisely separating members, seemed to grow up out of nothing in the middle distance.