noun

*pl.*-·las or -·lae·

Origin of hyperbola

Modern Latin from Classical Greek*hyperbol?*, a throwing beyond, excess from

*hyperballein*, to throw beyond from

*hyper-*(see hyper-) +

*ballein*, to throw (see ball)

noun

Geom. the path of a point that moves so that the difference of its distances from two fixed points, the foci, is constant; curve formed by the section of a cone cut by a plane more steeply inclined than the side of the cone

Origin of hyperbola

Modern Latin from Classical GreekWebster's New World College Dictionary, Fifth Edition Copyright © 2014 by Houghton Mifflin Harcourt Publishing Company. All rights reserved.

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"hyperbola." YourDictionary, n.d. Web. 19 January 2019. <https://www.yourdictionary.com/HYPERBOLA>.

**APA Style**

hyperbola. (n.d.). Retrieved January 19th, 2019, from https://www.yourdictionary.com/HYPERBOLA

noun

A plane curve having two branches, formed by the intersection of a plane with both halves of a right circular cone at an angle parallel to the axis of the cone. It is the locus of points for which the difference of the distances from two given points is a constant.

Origin of hyperbola

New Latin **hyperbola**

The equation of this hyperbola is

x2 - y2 = 1.

THE AMERICAN HERITAGE® DICTIONARY OF THE ENGLISH LANGUAGE, FIFTH EDITION by the Editors of the American Heritage Dictionaries. Copyright © 2016, 2011 by Houghton Mifflin Harcourt Publishing Company. Published by Houghton Mifflin Harcourt Publishing Company. All rights reserved.

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**MLA Style**

"hyperbola." YourDictionary, n.d. Web. 19 January 2019. <https://www.yourdictionary.com/HYPERBOLA>.

**APA Style**

hyperbola. (n.d.). Retrieved January 19th, 2019, from https://www.yourdictionary.com/HYPERBOLA

A plane curve having two separate parts or branches, formed when two cones that point toward one another are intersected by a plane that is parallel to the axes of the cones.

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**MLA Style**

"hyperbola." YourDictionary, n.d. Web. 19 January 2019. <https://www.yourdictionary.com/HYPERBOLA>.

**APA Style**

hyperbola. (n.d.). Retrieved January 19th, 2019, from https://www.yourdictionary.com/HYPERBOLA

Noun

(*plural* hyperbolas *or* hyperbolae *or* hyperbolæ)

- (geometry) 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.

Usage notes

Origin

From Ancient Greek *ὑπερβολή* (huperbolē).

English Wiktionary. Available under CC-BY-SA license.

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**MLA Style**

"hyperbola." YourDictionary, n.d. Web. 19 January 2019. <https://www.yourdictionary.com/HYPERBOLA>.

**APA Style**

hyperbola. (n.d.). Retrieved January 19th, 2019, from https://www.yourdictionary.com/HYPERBOLA

- But Landen's capital discovery is that of the theorem known by his name (obtained in its complete form in the memoir of 1775, and reproduced in the first volume of the Mathematical Memoirs) for the expression of the arc of an
**hyperbola**in terms of two elliptic arcs. - The
**hyperbola**which has for its transverse and conjugate axes the transverse and conjugate axes of another**hyperbola**is said to be the conjugate**hyperbola**. - The same name is also given to the first positive pedal of any central conic. When the conic is a rectangular
**hyperbola**, the curve is the lemniscate of Bernoulli previously described. - A solution by means of the parabola and
**hyperbola**was given by Dionysodorus of Amisus (c. 1st century B.c), and a similar problem - to construct a segment equal in volume to a given segment, and in surface to another segment - was solved by the Arabian mathematician and astronomer, Al Kuhi. - But if the pressure-curve is a straight line F'CP sloping upwards, cutting AM behind A in F', the energy-curve will be a parabola curving upwards, and the velocity-curve a
**hyperbola**with center at F'.

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