Definition of Hyperboloid of revolution. Meaning of Hyperboloid of revolution. Synonyms of Hyperboloid of revolution

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Definition of Hyperboloid of revolution

Hyperboloid of revolution
Hyperboloid Hy*per"bo*loid, n. [Hyperbola + -oid: cf. F. hyperbolo["i]de.] (Geom.) A surface of the second order, which is cut by certain planes in hyperbolas; also, the solid, bounded in part by such a surface. Hyperboloid of revolution, an hyperboloid described by an hyperbola revolving about one of its axes. The surface has two separate sheets when the axis of revolution is the transverse axis, but only one when the axis of revolution is the conjugate axis of the hyperbola.

Meaning of Hyperboloid of revolution from wikipedia

- geometry, a hyperboloid of revolution, sometimes called a circular hyperboloid, is the surface generated by rotating a hyperbola around one of its prin****l...
- Hyperboloid structures are architectural structures designed using a hyperboloid in one sheet. Often these are tall structures, such as towers, where the...
- area 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...
- quadrics) and five non-degenerate quadrics (ellipsoid, paraboloids and hyperboloids), which are detailed in the following tables. The eight remaining quadrics...
- satellites) is a hyperbola on a plane and a hyperboloid of revolution (more specifically, a two-sheeted hyperboloid) in 3D space (see Multilateration). Thus...
- of a segment of a paraboloid of revolution, the volume of a segment of a hyperboloid of revolution, and the area of a spiral. A similar method was independently...
- defined on an oblate spheroid or a hyperboloid of revolution. For example, they pla**** an important role in the calculation of the Perrin friction factors,...
- diameter of the circular area were visible. Niemeyer's and Cardozo's project of Cathedral of Brasília is based in the hyperboloid of revolution which sections...
- The hyperboloid model of hyperbolic geometry provides a representation of events one temporal unit into the ****ure in Minkowski space, the basis of special...
- pitch surface is neither cylindrical nor conical but a portion of a hyperboloid of revolution. Such gears are called hypoid for short. Hypoid gears are most...