In mathematics, a hyperbola is a type of smooth curve lying in a plane, defined by its geometric properties or by equations for which it is the solution...

In geometry, the unit hyperbola is the set of points (x,y) in the Cartesian plane that satisfy the implicit equation x 2 − y 2 = 1. {\displaystyle x^{2}-y^{2}=1...

[citation needed] By 2019, i-Space had successfully launched the Hyperbola-1S and Hyperbola-1Z single-stage solid-propellant test rockets into space on suborbital...

the perimeter. The semi-minor axis (minor semiaxis) of an ellipse or hyperbola is a line segment that is at right angles with the semi-major axis and...

The Hyperbola-1 (aka Shuang Quxian-1, SQX-1) (Chinese: 双曲线一号) rocket is 20.8 m (68 ft) tall, 1.4 m (4 ft 7 in) in diameter and weighs 31 t (34 tons)....

Hyperbola GNU/Linux-libre is an independent Linux distribution for the i686 and x86-64 architectures using the package-manager from Arch Linux and some...

surface intersecting a plane. The three types of conic section are the hyperbola, the parabola, and the ellipse; the circle is a special case of the ellipse...

bounded by a hyperbola and two rays from the origin to it. For example, the two points (a, 1/a) and (b, 1/b) on the rectangular hyperbola xy = 1, or the...

conjugate hyperbola to a given hyperbola shares the same asymptotes but lies in the opposite two sectors of the plane compared to the original hyperbola. A hyperbola...

ellipses and hyperbolas have two foci, there are confocal ellipses, confocal hyperbolas and confocal mixtures of ellipses and hyperbolas. In the mixture...

associated with the reference triangle. One of them is a hyperbola, called the Kiepert hyperbola and the other is a parabola, called the Kiepert parabola...

America. H. hyperbola californica Knull, 1947 H. hyperbola hyperbola Knull, 1938 "Hesperorhipis hyperbola Species Information". BugGuide.net. Iowa State...

called a circular hyperboloid, is the surface generated by rotating a hyperbola around one of its principal axes. A hyperboloid is the surface obtained...

{\displaystyle x^{2}+y^{2}=a^{2}+b^{2}} (see below), The orthoptic of a hyperbola x 2 a 2 − y 2 b 2 = 1 ,   a > b {\displaystyle {\tfrac {x^{2}}{a^{2}}}-{\tfrac...

between 0 and 1. The eccentricity of a parabola is 1. The eccentricity of a hyperbola is greater than 1. The eccentricity of a pair of lines is ∞ {\displaystyle...

In geometry, the Feuerbach hyperbola is a rectangular hyperbola passing through important triangle centers such as the Orthocenter, Gergonne point, Nagel...

z\rVert ^{2}=a^{2}\right\}} is a hyperbola for every nonzero a in ⁠ R . {\displaystyle \mathbb {R} .} ⁠ The hyperbola consists of a right and left branch...

analogues of the ordinary trigonometric functions, but defined using the hyperbola rather than the circle. Just as the points (cos t, sin t) form a circle...

directrices are focal conics and consists either of an ellipse and a hyperbola or of two parabolas. In the first case one defines the cyclide as elliptic...

the limit case a = 1 , b = 0 {\displaystyle a=1,b=0} in the pencil of hyperbolas of equations a ( x 2 − y 2 ) − b = 0. {\displaystyle a(x^{2}-y^{2})-b=0...

In number theory, the Dirichlet hyperbola method is a technique to evaluate the sum F ( n ) = ∑ k = 1 n f ( k ) , {\displaystyle F(n)=\sum _{k=1}^{n}f(k)...

conjugate hyperbola: "If Q be any point on a hyperbola and CE be drawn from the centre parallel to the tangent at Q to meet the conjugate hyperbola in E,...

runs from S1 to P behind the upper part of the hyperbola (see diagram) and is free to slide on the hyperbola. The part of the string from P to F2 runs and...

the free dictionary. Hyperbolic may refer to: of or pertaining to a hyperbola, a type of smooth curve lying in a plane in mathematics Hyperbolic geometry...

I of the Cartesian plane. The hyperbolic angle parametrizes the unit hyperbola, which has hyperbolic functions as coordinates. In mathematics, hyperbolic...

sections, the four types of which are the circle, ellipse, parabola, and hyperbola. In addition, two foci are used to define the Cassini oval and the Cartesian...

and mathematician. He is remembered for his work on quadrature of the hyperbola. Grégoire gave the "clearest early account of the summation of geometric...

In Euclidean geometry with triangle △ABC, the nine-point hyperbola is an instance of the nine-point conic described by American mathematician Maxime Bôcher...

Perpendicular diameters of a circle or hyperbolic-orthogonal diameters of a hyperbola Diameter (group theory) – Concept in group theory, a concept in group...

{arsinh} x)=x.} Hyperbolic angle measure is the length of an arc of a unit hyperbola x 2 − y 2 = 1 {\displaystyle x^{2}-y^{2}=1} as measured in the Lorentzian...