HYPERBOLIC • DICTIONARY ONE.COM • Definition of Hyperbolic

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/hˌaɪpərbˈɑlɪk/ Listen

adjective

Hyperbolical, Hyperbolic adj.

(Math.) Belonging to the hyperbola; having the nature of the hyperbola.

(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.

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Etymology of 'Hyperbolic'

Collaborative International Dictionary of English 0.48

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"Hyperbolic" Quotes from Famous Books

... dropped toward the star from an infinite distance, Arcot could have applied enough power to put the ship in a hyperbolic orbit which would have carried them past the star. But they had come in on the space drive, and had gotten fairly close before the gravitational field had drained the power from the main coil, and it was not until the space field had ...

— Islands of Space • John W Campbell

... difficult to hit; it is more easy to make a good circle than to produce a straight line. A similar difficulty takes place in figuring specula for telescopes; the parabola is the surface which separates the hyperbolic from the elliptic figure, and is the most difficult to form. If a spindle, not cylindrical at its end, be pressed into a hole not circular, and kept constantly turning, there is a tendency in these two bodies so situated to become conical, or to have circular sections. If a ...

— On the Economy of Machinery and Manufactures • Charles Babbage

... 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