hyperbola


Also found in: Thesaurus, Legal, Encyclopedia, Wikipedia.
click for a larger image
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]
click for a larger image
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:
Noun1.hyperbola - an open curve formed by a plane that cuts the base of a right circular conehyperbola - an open curve formed by a plane that cuts the base of a right circular cone
conic, 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]hipérbola f

hyperbola

n (Math) → Hyperbel f
References in classic literature ?
Yes," said Nicholl, "it will follow either a parabola or a hyperbola.
With a certain speed it will assume the parabola, and with a greater the hyperbola.
The hyperbola, Michel, is a curve of the second order, produced by the intersection of a conic surface and a plane parallel to its axis, and constitutes two branches separated one from the other, both tending indefinitely in the two directions.
What I particularly like in your definition of the hyperbola (I was going to say hyperblague) is that it is still more obscure than the word you pretend to define.
One maintained the hyperbola, the other the parabola.
Now, gentlemen cosines, will you cease to throw parabolas and hyperbolas at each other's heads?
which for fixed p and x can be recognized as describing familiar conic sections: (1) for [rho] + V > 0, 2[omega] + 3 > 0 a hyperbola on the (H + y/2x, y) plane, (2) for [rho] + V > 0, 2[omega] + 3 < 0 an ellipse also on the (H + y/2x, y) plane, while (3) for [rho] + V < 0, 2[omega] + 3 > 0 a hyperbola on the (y, H + y/2x) plane.
Acu, Subclasses of convex functions associated with some hyperbola, Acta Univ.
a fragment of a hyperbola when the plane only intersects a few generatrices of the cone.
Of course, in the real world, this curve does not approach infinity like a true hyperbola would, but instead stops short, depending upon the reality of the situation, and it never actually intersects the vertical or horizontal axes.
KARACHI, December 13, 2009 (Balochistan Times): KPT in its centuries old history has never seen a development hyperbola as is being implemented now with its development commitment and contracts during the current financial year totalling to an estimated Rs 60 billion, a figure unparalleled in public sector entities.
First, when humans make prospect choices between hypothetical immediate and delayed rewards, their pattern of choices conforms to the same hyperbola describing animal choice (e.