Noun:

அதிபரவளை கோளம்,

hyperboloid's Usage Examples:

The ntill-lines which are at a given distance r from a point 0 of the central axis will therefore form one system of generators of a hyperboloid of revolution; and by varying r we get a series of such hyperboloids with a common centre and axis.

Fig 14: A torus can be modeled by two truncated hyperboloids.

If two such W2 0 - - hyperboloids E, F, equal or E T unequal, be placed in the closest possible contact, as in fig.

The Cassegrain telescope differs from the Gregorian only in the substitution of a convex hyperboloidal mirror for a concave ellipsoidal mirror as the small speculum.

For spectroscopic purposes the Cassegrain form has peculiar advantages, because in consequence of the less rapid convergence of the rays after reflection from the convex hyperboloidal mirror, the equivalent focus can be made very great in comparison with the length of the tube.

The crests of the teeth of a skew-bevel wheel are parallel to the generating straight line of the hyperboloidal pitch-surface; and the transverse sections of the teeth at a given pitch-circle are similar to those of the teeth of a bevelwheel whose pitch surface is a cone touching the hyperboloidal surface at the given circle.

An hyperboloid of revolution is a surface resembling a sheaf or a dice box, generated by the rotation of a straight iAn line round an axis from which it is at a constant distance, - c and to which it is inclined at -~- a constant angle.

21, 22 for the paraboloid, 25, 26 for the hyperboloid, and 27-32 for the spheroid).

This latter carries a hyperboloidal mirror, which returns the rays towards the centre of the large mirror and causes them to converge less rapidly.

The directions and positions of the axes being given, and the required angular velocity ratio, the following construction serves to determine the line of contact, by whose rotation round the two axes respectively the hyperboloids are generated: In fig.

This theorem has been generalized for any tetrahedron; a sphere can be drawn through the four feet of the perpendiculars, and consequently through the mid-points of the lines from the vertices to the centre of the hyperboloid having these perpendiculars as generators, and through the orthogonal projections of these points on the opposite faces.

hyperboloid of revolution is a ruled surface.

Synonyms:

quadric, quadric surface,

Antonyms:

straight line,