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Hyperbolic   /hˌaɪpərbˈɑlɪk/   Listen
adjective
Hyperbolical, Hyperbolic  adj.  
1.
(Math.) Belonging to the hyperbola; having the nature of the hyperbola.
2.
(Rhet.) Relating to, containing, or of the nature of, hyperbole; exaggerating or diminishing beyond the fact; exceeding the truth; as, an hyperbolical expression. "This hyperbolical epitaph."
Hyperbolic functions (Math.), certain functions which have relations to the hyperbola corresponding to those which sines, cosines, tangents, etc., have to the circle; and hence, called hyperbolic sines, hyperbolic cosines, etc.
Hyperbolic logarithm. See Logarithm.
Hyperbolic spiral (Math.), a spiral curve, the law of which is, that the distance from the pole to the generating point varies inversely as the angle swept over by the radius vector.






Collaborative International Dictionary of English 0.48








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"Hyperbolic" Quotes from Famous Books



... quite different from what they are. The proportions which exist happen to be such as to produce regular elliptical motions; any other proportions would have produced different ellipses, or circular, or parabolic, or hyperbolic motions, but still regular ones; because the effects of each of the agents accumulate according to a uniform law; and two regular series of quantities, when their corresponding terms are added, must produce a regular series of some sort, whatever ...
— A System Of Logic, Ratiocinative And Inductive • John Stuart Mill

... Mattaryeh, to the passage of two feeble columns of French grenadiers across ditches heaped up with the dead and wounded of the Ottoman army. "Generals ancient and modern, have sometimes spoken of similar deeds of prowess," exclaimed our colleague, "but it was in the hyperbolic style of the bulletin: here the fact is materially true,—it is true like geometry. I feel conscious, however," added he, "that in order to induce your belief in it, all my assurances will not be ...
— Biographies of Distinguished Scientific Men • Francois Arago

... moving in them, go alternately to much greater and less distances from the sun than the planets do. It must not be imagined, however, that all comets revolve about the sun even in the most lengthened ellipses. Three at least—the comets of 1723, 1771, and 1818—are known to have moved along hyperbolic paths instead of parabolic or elliptical ones. These comets, therefore, can make but one appearance in our skies. Having once shewn themselves there, and vanished, they are lost to us for ever. They are but stray and chance visitors to the domains ...
— Chambers's Edinburgh Journal, No. 450 - Volume 18, New Series, August 14, 1852 • Various

... chiefly, I think, from over-luxuriance of imagination. But this occasional defect has been unduly exaggerated. Thus Mr. Gosse*1* declares that Lanier is "never simple, never easy, never in one single lyric natural and spontaneous for more than one stanza," — a statement so clearly hyperbolic as hardly to call for notice. As a matter of fact, Lanier has written numerous poems that offer little or no difficulty to the reader of average intelligence, as 'Life and Song', 'My Springs', 'The Symphony', 'The Mocking-Bird', 'The ...
— Select Poems of Sidney Lanier • Sidney Lanier

... convinced from the facts of gravitation that these meteoric stones, and all other bodies flying through space near our solar system, must be constrained by the sun to obey Kepler's laws, and fly round it in some regular elliptic or hyperbolic orbit, what chance have we of determining that orbit? At first sight, a very poor chance, for we never see them except for the instant when they splash into our atmosphere; and for them that instant is instant death. ...
— Pioneers of Science • Oliver Lodge



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