Hyperbola

Hyperbola
Hyperbola Hy*per"bo*la, n. [Gr. ?, prop., an overshooting, excess, i. e., of the angle which the cutting plane makes with the base. See {Hyperbole}.] (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. See Illust. of Conic section, and {Focus}. [1913 Webster]

The Collaborative International Dictionary of English. 2000.

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  • hyperbola — 1660s, from Latinized form of Gk. hyperbole extravagance, lit. a throwing beyond (see HYPERBOLE (Cf. hyperbole)). Perhaps so called because the inclination of the plane to the base of the cone exceeds that of the side of the cone …   Etymology dictionary

  • hyperbola — ► NOUN (pl. hyperbolas or hyperbolae) ▪ a symmetrical open curve formed by the intersection of a cone with a plane at a smaller angle with its axis than the side of the cone. ORIGIN Latin, from Greek huperbol (see HYPERBOLE(Cf. ↑hyperbolically)) …   English terms dictionary

  • hyperbola — [hī pʉr′bə lə] n. pl. hyperbolas or hyperbolae [hī pʉr′bəlē] [ModL < Gr hyperbolē, a throwing beyond, excess < hyperballein, to throw beyond < hyper (see HYPER ) + ballein, to throw (see BALL1)] Geom. the path of a point that moves so… …   English World dictionary

  • Hyperbola — This article is about a geometrical curve, a conic section. For the term used in rhetoric, see Hyperbole …   Wikipedia

  • hyperbola — /huy perr beuh leuh/, n. Geom. the set of points in a plane whose distances to two fixed points in the plane have a constant difference; a curve consisting of two distinct and similar branches, formed by the intersection of a plane with a right… …   Universalium

  • hyperbola — hiperbolė statusas T sritis fizika atitikmenys: angl. hyperbola vok. Hyperbel, f rus. гипербола, f pranc. hyperbole, f …   Fizikos terminų žodynas

  • hyperbola — noun (plural las or hyperbolae) Etymology: New Latin, from Greek hyperbolē Date: 1668 a plane curve generated by a point so moving that the difference of the distances from two fixed points is a constant ; a curve formed by the intersection of a… …   New Collegiate Dictionary

  • hyperbola — noun A conic section formed by the intersection of a cone with a plane that intersects the base of the cone and is not tangent to the cone …   Wiktionary

  • hyperbola — Synonyms and related words: arc, bow, catacaustic, catenary, caustic, circle, conchoid, crook, curl, curve, diacaustic, ellipse, festoon, hook, lituus, parabola, sinus, tracery …   Moby Thesaurus

  • hyperbola — hy·per·bo·la || haɪ pÉœrbÉ™lÉ™ / pɜːb n. curve consisting of two separate branches (Geometry) …   English contemporary dictionary

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