He considered the horizontal strata of this hyperboloid as always in motion, while the remainder of the water was in a state of rest, and imagined that there was a kind of cataract in the middle of the fluid.
Having some property that belongs to anhyperboloid or hyperbola.
Gorge circle (Gearing), the outline of the smallest cross section of a hyperboloid of revolution.
Defn: Having some property that belongs to an hyperboloidor hyperbola.
Hyperboloid of revolution, an hyperboloid described by an hyperbola revolving about one of its axes.
Even the hyperboloidof two sheets, obtained by revolving the hyperbola about its major axis, was known to them, but probably not the hyperboloid of one sheet, which results from revolving a hyperbola about the other axis.
The simplest equations of the ellipsoid, of the hyperboloid of one sheet and of two sheets, of the elliptical and the hyperbolic paraboloid, of cones and of cylinders of the second order.
Through each point of a hyperboloid of one sheet two right lines can be drawn, whence result two systems of right-lined generatrices of the hyperboloid.
Construction of a hyperboloid of raccordement; its transformation into a paraboloid.
Hyperboloid of raccordement to a ruled surface along a generatrix; all their centers are in the same plane.
Right-lined sections of the hyperboloid of one sheet.
Identity of the hyperboloid with one of the five surfaces of the second degree studied in analytical geometry.
Determination of the osculating hyperboloid along a generatrix.
All the right lines situated on the hyperboloid being transported to the centre, remaining parallel to themselves, coincide with the surface of the asymptote cone.
An hyperboloidof revolution is a surface resembling a sheaf or a dice box, generated by the rotation of a straight line round an axis from which it is at a constant distance, and to which it is inclined at a constant angle.
Consequently a quadric surface is covered by two sets of straight lines, a pair through every point on it; these are imaginary for the ellipsoid, hyperboloid of two sheets, and elliptic paraboloid.
In the first case the surface is called an Hyperboloid of one sheet, in the second an Hyperbolic Paraboloid.
The above list will hopefully give you a few useful examples demonstrating the appropriate usage of "hyperboloid" in a variety of sentences. We hope that you will now be able to make sentences using this word.
