# hyperbola

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Related to hyperbolae: hyperbole
hyperbola
The equation of this hyperbola is
x2 - y2 = 1.

## hy·per·bo·la

(hī-pûr′bə-lə)
n. pl. hy·per·bo·las or hy·per·bo·lae (-lē)
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.

[New Latin, from Greek huperbolē, a throwing beyond, excess (from the relationship between the line joining the vertices of a conic and the line through its focus and parallel to its directrix); see hyperbole.]

## hyperbola

(haɪˈpɜːbələ)
n, pl -las or -le (-ˌliː)
(Mathematics) a conic section formed by a plane that cuts both bases of a cone; it consists of two branches asymptotic to two intersecting fixed lines and has two foci. Standard equation: x2/a2y2/b2 = 1 where 2a is the distance between the two intersections with the x-axis and b = a√(e2 – 1), where e is the eccentricity
[C17: from Greek huperbolē, literally: excess, extravagance, from hyper- + ballein to throw]

## hy•per•bo•la

art at hyperfunction
(haɪˈpɜr bə lə)

n., pl. -las.
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 branches, formed by the intersection of a plane with a right circular cone when the plane makes a greater angle with the base than does the generator of the cone. Equation: x2/a2y2/b2=±1. See also diag. at conic section.
[1660–70; < New Latin < Greek hyperbolḗ literally, excess]
hyperbola

## hy·per·bo·la

(hī-pûr′bə-lə)
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.
ThesaurusAntonymsRelated WordsSynonymsLegend:
 Noun 1 hyperbola - an open curve formed by a plane that cuts the base of a right circular coneconic, conic section - (geometry) a curve generated by the intersection of a plane and a circular cone
Translations
хипербола
hyperbola
hyperbeli
hiperbola
hyperbel

## hyperbola

[haɪˈpɜːbələ] N (hyperbolas or hyperbole (pl)) [haɪˈpɜːbəliː]

## hyperbola

n (Math) → Hyperbel f
References in periodicals archive ?
Quoniam oculis hyperbolae et parabola per diaphana et specula inservierunt, auribus inserviet ellipsis et instrumentum dabit auditioni utillimum.
For instance, we refer the reader to Freiesleben (1976) which deals with geometric construction of hyperbolae on a spherical surface for navigational application.
Yet Common Core's "college readiness" definition omits content typically considered part of algebra 2 (and geometry), such as complex numbers, vectors, trigonometry, polynomial identities, the Binomial Theorem, logarithms, logarithmic and exponential functions, composite and inverse functions, matrices, ellipses and hyperbolae, and a few more.
Non-trivial relationships between evaluations of the Tutte polynomial at points on different hyperbolae are uncommon.
The progression of the roots down the profile was well fitted by rectangular hyperbolae of the form of the Michaelis-Menten equation:
For the particular examples studied, therefore, the human images and the bird were composed from seven templates consisting of one linear spiral, four hyperbolae and two ellipses.

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