In geometry, a paraboloid is a quadric surface that has exactly one axis of symmetry and no center of symmetry. The term "paraboloid" is derived from...

A parabolic (or paraboloid or paraboloidal) reflector (or dish or mirror) is a reflective surface used to collect or project energy such as light, sound...

paraboloid domes have circular bases and horizontal sections and are a type of "circular dome" for that reason. Because of their shape, paraboloid domes...

contain circles except parabolic and hyperbolic cylinders and hyperbolic paraboloids. If a quadric contains a circle, then every intersection of the quadric...

Gallery of hyperbolic paraboloid structures A hyperbolic paraboloid saddle roof: Church Army Chapel, Blackheath A hyperbolic paraboloid saddle roof: The Scotiabank...

surface dimpled in the w direction according to the equation (Flamm's paraboloid) w = 2 r s ( r − r s ) . {\displaystyle w=2{\sqrt...

there are two distinct lines that lie on the surface. The hyperbolic paraboloid and the hyperboloid of one sheet are doubly ruled surfaces. The plane...

inscribed paraboloid. Therefore, the volume of the flipped paraboloid is equal to the volume of the cylinder part outside the inscribed paraboloid. In other...

surfaces in the Euclidean space are second order surfaces, the hyperbolic paraboloid z = x 2 − y 2 {\displaystyle z=x^{2}-y^{2}} (which is often referred to...

which have concave surfaces that are segments of axially symmetrical paraboloids. Usually, the objects are made of glass. The furnace makes use of the...

hyperbolic paraboloid is a doubly ruled surface so it may be used to construct a saddle roof from straight beams. The hyperbolic paraboloid is a doubly...

Join the paraboloids y = xz and x = yz. The result is shown in Figure 1. The paraboloid y = x z is shown in blue and orange. The paraboloid x = y z is...

Hyperboloid of one sheet Hyperboloid of two sheets Hyperbolic paraboloid (a ruled surface) Paraboloid Dini's surface Pseudosphere Cayley cubic Barth sextic Clebsch...

about the symmetry axis of the parabolae produces a set of confocal paraboloids, the coordinate system of tridimensional parabolic coordinates. Expressed...

are easier to manufacture than mirrors with a surface described by a paraboloid or ellipsoid. They suffer from spherical aberration and coma, but do not...

elliptical paraboloid, hyperbolic paraboloid, hyperboloid of one sheet, hyperboloid of two sheets. Elliptic cone Parabolic cylinder Elliptic paraboloid Hyperbolic...

Newton noted that the free surface of a rotating liquid forms a circular paraboloid and can therefore be used as a telescope, but he could not build one because...

is the basis for the use of this kind of reflector for solar cooking. Paraboloids are compound curves, which are more difficult to make with simple equipment...

one sheet Hyperboloid of two sheets Elliptic cone Elliptic paraboloid Hyperbolic paraboloid The degenerate quadric surfaces are the empty set, a single...

a solid hemisphere, the center of gravity of a frustum of a circular paraboloid, and the area of a region bounded by a parabola and one of its secant...

free surface will assume a parabolic surface of revolution known as a paraboloid. The free surface at each point is at a right angle to the force acting...

construction and the better mathematical understanding of hyperbolic paraboloids allowed very thin, strong vaults to be constructed with previously unseen...

cross section) and c 2 {\displaystyle c_{2}} is a line. The elliptic paraboloid z = x 2 + y 2 {\displaystyle \;z=x^{2}+y^{2}\;} can be generated by  ...

A paraboloid, the graph of squared Euclidean distance from the origin...

constructional systems, known as hyperboloids of revolution and hyperbolic paraboloids. The steel gridshells of the exhibition pavilions of the 1896 All-Russian...

of an ellipse, the area under a parabola, the volume of a segment of a paraboloid of revolution, the volume of a segment of a hyperboloid of revolution...

hyperbolas). In three-dimensional space, quadrics include ellipsoids, paraboloids, and hyperboloids. More generally, a quadric hypersurface (of dimension...

saddle-shape of Pringles chips is mathematically known as a hyperbolic paraboloid. However, Baur could not figure out how to make the chips palatable, and...

Winplot A hyperbolic paraboloid plotted with Winplot Original author(s) Richard "Rick" Parris Developer(s) Rick Parris Initial release 1985; 40 years ago (1985)...

commonly monolithic domes, but may also take the form of hyperbolic paraboloids, ellipsoids, cylindrical sections, or some combination thereof. The first...