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Hyperbola   Listen
noun
Hyperbola  n.  (Geom.) A curve formed by a section of a cone, when the cutting plane makes a greater angle with the base than the side of the cone makes. It is a plane curve such that the difference of the distances from any point of it to two fixed points, called foci, is equal to a given distance. See Focus. If the cutting plane be produced so as to cut the opposite cone, another curve will be formed, which is also an hyperbola. Both curves are regarded as branches of the same hyperbola.






Collaborative International Dictionary of English 0.48








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"Hyperbola" Quotes from Famous Books



... amphitheater (Latin ambi) both *Ana up, again anatomy, Anabaptist *Anti against, opposite antidote, antiphonal, antagonist *Cata down catalepsy, cataclysm *Dia through, across diameter, dialogue *Epi upon epidemic, epithet, epode, ephemeral *Hyper over, extremely hypercritical, hyperbola *Hypo under, in smaller hypodermic, hypophosphate measure *Meta after, over metaphysics, metaphor *Para beside paraphrase, paraphernalia *Peri around, about periscope, peristyle *Pro before proboscis, prophet *Syn together, with synthesis, ...
— The Century Vocabulary Builder • Creever & Bachelor

... surveying and navigation. He also wrote various sorts of hands, fearful and marvellous to the uninitiated, with which he was wont to decorate my monthly reports to my grandfather. I can shut my eyes and see now that wonderful hyperbola in the C in Carvel, which, after travelling around the paper, ended in intricate curves and a flourish which surely must ...
— The Crossing • Winston Churchill

... always clear and determinate, the smallest distinction between them is immediately perceptible, and the same terms are still expressive of the same ideas, without ambiguity or variation. An oval is never mistaken for a circle, nor an hyperbola for an ellipsis. The isosceles and scalenum are distinguished by boundaries more exact than vice and virtue, right and wrong. If any term be defined in geometry, the mind readily, of itself, substitutes, on all occasions, the definition for the term defined: Or ...
— An Enquiry Concerning Human Understanding • David Hume et al

... very near one of the larger planets, and, in passing, its motion may be seriously disturbed by the attraction of the planet. If the velocity of the comet is accelerated by this disturbing influence, the orbit will be changed from a parabola into another curve known as a hyperbola, and the comet will swing round the sun and pass away never to return. But if the planet is so situated as to retard the velocity of the comet, the parabolic orbit will be changed into an ellipse, and the comet will become a periodic one. We can hardly doubt that some ...
— The Story of the Heavens • Robert Stawell Ball

... in one direction; and the hyperbolic curve, that never returns into itself at all, but has, on the other hand, a course which sets outwards each way for ever. The parabolic curve, as it is called, is a line partaking of the closeness of the ellipse on the one hand, and the openness of the hyperbola on the other. A parabola is an ellipse passing into a hyperbola; or, in other words, it is a part of an ellipse whose length, compared with its breadth, is too great to be estimated, and is consequently deemed to be endless ...
— Chambers's Edinburgh Journal, No. 450 - Volume 18, New Series, August 14, 1852 • Various



Words linked to "Hyperbola" :   hyperbolic, conic section, conic



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