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...

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...

[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...

Hyperbola GNU/Linux-libre is a Linux distribution for the i686 and x86-64 architectures, including the GNU operating system components and the Linux-libre...

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)....

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...

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...

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...

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...

obtained as the inverse transform of a hyperbola, with the inversion circle centered at the center of the hyperbola (bisector of its two foci). It may also...

{\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...

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

In geometry, the Feuerbach hyperbola is a rectangular hyperbola passing through important triangle centers such as the incenter, orthocenter, Gergonne...

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...

hyperbolic orthogonality between two lines separated by the asymptotes of a hyperbola is a concept used in special relativity to define simultaneous events...

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

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

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...

It is the spherical analog of a conic section (ellipse, parabola, or hyperbola) in the plane, and as in the planar case, a spherical conic can be defined...

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...

and mathematician. He is remembered for his work on quadrature of the hyperbola. He is also known as Gregorio a San Vincente. Grégoire gave the "clearest...

triangle circle (respectively, ellipse, hyperbola, parabola) is used to denote a circle (respectively, ellipse, hyperbola, parabola) associated with the reference...

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)...

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

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...

of two ellipses, two hyperbolas, or an ellipse and a hyperbola which share both foci with each other. If an ellipse and a hyperbola are confocal, they are...

a hyperbola is perpendicular to the conjugate axis and to each directrix. The product of the perpendicular distances from a point P on a hyperbola or...