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The hyperbola when revolved about either axis forms a hyperboloid.
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These entrance buildings are an example of Gaudí at the height of his powers, with Catalan vaults that form a parabolic hyperboloid.
Wolter optics are formed by grazing incidence reflections from two concentric conic sections (for example, a paraboloid and a hyperboloid).
If one of the coefficients is negative, the surface is a hyperboloid of one sheet; if two of the coefficients are negative, the surface is a hyperboloid of two sheets.
The individual 1.8-metre- (71-inch) diameter segments form a mosaic, with each segment continually positioned by three highly precise, computer-controlled actuators such that the entire mirror surface conforms to a hyperboloid with a focal length of 17.5 metres (689 inches).
A hyperboloid of one sheet has a saddle point (a point on a curved surface shaped like a saddle at which the curvatures in two mutually perpendicular planes are of opposite signs, just like a saddle is curved up in one direction and down in another).
Open image in new window Fig. 8 A series of strips approximating a hyperboloid surface.
The minimal circle in a hyperboloid is totally convex, but a single point is not.
The signal sender is on a hyperboloid of one receiver and different receivers have a constant range difference.
Moreover, such novel definition is used to examine various dynamic isotropy conditions as functions of the coefficients of a hyperboloid.
where the equation describes the de Sitter geometry[10]; note that with H−2 > 0, it is the equation of a hyperboloid.
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