Definition of Paraboloids. Meaning of Paraboloids. Synonyms of Paraboloids

Here you will find one or more explanations in English for the word Paraboloids. Also in the bottom left of the page several parts of wikipedia pages related to the word Paraboloids and, of course, Paraboloids synonyms and on the right images related to the word Paraboloids.

Definition of Paraboloids

Paraboloid
Paraboloid Pa*rab"o*loid (-loid), n. [Parabola + -oid: cf. F. parabolo["i]de.] (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. Note: The term paraboloid has sometimes been applied also to the parabolas of the higher orders. --Hutton.
paraboloid
Conoid Co"noid, n. [Gr. ? conical; ? cone + ? from: cf. F. cono["i]de.] 1. Anything that has a form resembling that of a cone. 2. (Geom.) (a) 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. (b) 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.

Meaning of Paraboloids from wikipedia

- paraboloid is a conoid. These properties characterize hyperbolic paraboloids and are used in one of the oldest definitions of hyperbolic paraboloids:...
- parallel beam to a point. Archimedes in the third century BCE studied paraboloids as part of his study of hydrostatic equilibrium, and it has been claimed...
- surface dimpled in the w direction according to the equation (Flamm's paraboloid) w=2rs(r−rs).{\displaystyle w=2{\sqrt {r_{\mathrm {s} }\left(r-r_{\mathrm...
- inscribed paraboloid. Therefore, the volume of the flipped paraboloid is equal to the volume of the cylinder part outside the inscribed paraboloid. In other...
- parametrization). Let there be these three hyperbolic paraboloids: x = yz, y = zx, z = xy. These three hyperbolic paraboloids intersect externally along the six edges...
- construction and the better mathematical understanding of hyperbolic paraboloids allowed very thin, strong vaults to be constructed with previously unseen...
- about the symmetry axis of the parabolae produces a set of confocal paraboloids, the coordinate system of tridimensional parabolic coordinates. Expressed...
- spinning liquid is a concave paraboloid, identical to the shape of a reflecting telescope's primary focusing mirror. Paraboloids can be used in various ways...
- Tower Anticlastic hyperboloid s**** S****: Hyperbolic paraboloids (hypar) Hyperbolic Paraboloids & Concrete S**** Special Structures Rainer Graefe: “Vladimir...
- paraboloid domes have circular bases and horizontal sections and are a type of "circular dome" for that reason. Because of their shape, paraboloid domes...