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HYPERBOLA

  • Hyperbola
  • Plane curve: conic section

    In mathematics, a hyperbola (/haɪˈpɜːrbələ/ hy-PUR-bə-lə) is a type of smooth curve lying in a plane, defined by its geometric properties or by equations

    Hyperbola

    Hyperbola

    Hyperbola

  • Hyperbola (disambiguation)
  • Topics referred to by the same term

    A hyperbola is a type of smooth curve lying in a plane. Hyperbola may also refer to: Hesperorhipis hyperbola, a species of metallic wood-boring beetles

    Hyperbola (disambiguation)

    Hyperbola_(disambiguation)

  • I-Space (Chinese company)
  • Chinese space launch company

    [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

    I-Space (Chinese company)

    I-Space_(Chinese_company)

  • Unit hyperbola
  • Geometric figure

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

    Unit hyperbola

    Unit hyperbola

    Unit_hyperbola

  • Hyperbola GNU/Linux-libre
  • Linux distribution

    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

    Hyperbola GNU/Linux-libre

    Hyperbola GNU/Linux-libre

    Hyperbola_GNU/Linux-libre

  • Conic section
  • Curve from a cone intersecting a plane

    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

    Conic section

    Conic section

    Conic_section

  • Hyperbola-1
  • Chinese satellite launch vehicle

    The Hyperbola-1 (aka Shuangquxian-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). It

    Hyperbola-1

    Hyperbola-1

  • Semi-major and semi-minor axes
  • Term in geometry; longest and shortest semidiameters of an ellipse

    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

    Semi-major and semi-minor axes

    Semi-major and semi-minor axes

    Semi-major_and_semi-minor_axes

  • Eccentricity (mathematics)
  • Characteristic of conic sections

    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

    Eccentricity (mathematics)

    Eccentricity (mathematics)

    Eccentricity_(mathematics)

  • Conjugate hyperbola
  • Symmetric figure defined by a hyperbola

    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

    Conjugate hyperbola

    Conjugate hyperbola

    Conjugate_hyperbola

  • Hyperbolic functions
  • Hyperbolic analogues of trigonometric functions

    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

    Hyperbolic functions

    Hyperbolic functions

    Hyperbolic_functions

  • Confocal conic sections
  • Conic sections with the same foci

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

    Confocal conic sections

    Confocal conic sections

    Confocal_conic_sections

  • Grégoire de Saint-Vincent
  • Belgian Jesuit and mathematician (1584–1667)

    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

    Grégoire de Saint-Vincent

    Grégoire de Saint-Vincent

    Grégoire_de_Saint-Vincent

  • Feuerbach hyperbola
  • Unique curve associated with every triangle

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

    Feuerbach hyperbola

    Feuerbach hyperbola

    Feuerbach_hyperbola

  • Kiepert conics
  • Conic curves associated with a triangle

    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

    Kiepert conics

    Kiepert_conics

  • Lemniscate of Bernoulli
  • Plane algebraic curve

    circle inversion transformation to a hyperbola, where the center of inversion is the midpoint of the hyperbola's foci. It can also be drawn mechanically

    Lemniscate of Bernoulli

    Lemniscate of Bernoulli

    Lemniscate_of_Bernoulli

  • Hyperboloid
  • Unbounded quadric surface

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

    Hyperboloid

    Hyperboloid

    Hyperboloid

  • Conjugate diameters
  • Perpendicular diameters of a circle or hyperbolic-orthogonal diameters of a hyperbola

    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,

    Conjugate diameters

    Conjugate diameters

    Conjugate_diameters

  • Orthoptic (geometry)
  • All points for which two tangents of a curve intersect at 90° angles

    {\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

    Orthoptic (geometry)

    Orthoptic (geometry)

    Orthoptic_(geometry)

  • Inverse hyperbolic functions
  • Mathematical functions

    {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

    Inverse hyperbolic functions

    Inverse hyperbolic functions

    Inverse_hyperbolic_functions

  • Hyperbolic sector
  • Region of the Cartesian plane bounded by a hyperbola and two radii

    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

    Hyperbolic sector

    Hyperbolic sector

    Hyperbolic_sector

  • Split-complex number
  • Reals with an extra square root of +1 adjoined

    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

    Split-complex number

    Split-complex_number

  • Dirichlet hyperbola method
  • Mathematical tool for summing arithmetic functions

    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)}

    Dirichlet hyperbola method

    Dirichlet hyperbola method

    Dirichlet_hyperbola_method

  • Spherical conic
  • Curve on the sphere analogous to an ellipse or hyperbola

    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

    Spherical conic

    Spherical conic

    Spherical_conic

  • Nine-point hyperbola
  • Hyperbola constructed from a given triangle and point

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

    Nine-point hyperbola

    Nine-point hyperbola

    Nine-point_hyperbola

  • Focus (geometry)
  • Geometric point from which certain types of curves are constructed

    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

    Focus (geometry)

    Focus (geometry)

    Focus_(geometry)

  • Dupin cyclide
  • Geometric inversion of a torus, cylinder or double cone

    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

    Dupin cyclide

    Dupin cyclide

    Dupin_cyclide

  • Perpendicular
  • Relationship between two lines that meet at a right angle

    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

    Perpendicular

    Perpendicular

    Perpendicular

  • Ellipsoid
  • Quadric surface that looks like a deformed sphere

    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

    Ellipsoid

    Ellipsoid

    Ellipsoid

  • Hyperbolic
  • Topics referred to by the same term

    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

    Hyperbolic

    Hyperbolic

  • Kruskal–Szekeres coordinates
  • Coordinate system for the Schwarzschild geometry

    cone will eventually hit the black hole singularity, which appears as a hyperbola bounded by the two black hole horizons), and any event inside the white

    Kruskal–Szekeres coordinates

    Kruskal–Szekeres coordinates

    Kruskal–Szekeres_coordinates

  • Triangle conic
  • Conic plane curve associated with a given triangle

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

    Triangle conic

    Triangle_conic

  • Squeeze mapping
  • Linear map that preserves areas

    {constant} \}} is a hyperbola, if u = ax and v = y/a, then uv = xy and the points of the image of the squeeze mapping are on the same hyperbola as (x,y) is.

    Squeeze mapping

    Squeeze mapping

    Squeeze_mapping

  • Hyperbolic angle
  • Argument of the hyperbolic functions

    an area against hyperbola xy = 1, and they both are preserved by squeeze mappings since those mappings preserve area. The hyperbola xy = 1 is rectangular

    Hyperbolic angle

    Hyperbolic angle

    Hyperbolic_angle

  • Lambert's problem
  • Problem in celestial mechanics

    on the right branch of the hyperbola depending on the sign of A {\displaystyle A} . The semi-major axis of this hyperbola is | A | {\displaystyle |A|}

    Lambert's problem

    Lambert's_problem

  • Hesperorhipis hyperbola
  • Species of beetle

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

    Hesperorhipis hyperbola

    Hesperorhipis_hyperbola

  • Nine-point conic
  • Geometric curve associated with a quadrangle

    better-known nine-point circle is an instance of Bôcher's conic. The nine-point hyperbola is another instance. Bôcher used the four points of the complete quadrangle

    Nine-point conic

    Nine-point conic

    Nine-point_conic

  • History of logarithms
  • Development of the mathematical function

    the result of a search for an expression of area against a rectangular hyperbola, and required the assimilation of a new function into standard mathematics

    History of logarithms

    History of logarithms

    History_of_logarithms

  • Degenerate conic
  • 2nd-degree plane curve which is reducible

    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

    Degenerate conic

    Degenerate conic

    Degenerate_conic

  • Amorpha juglandis
  • Species of moth

    juglandis (J.E. Smith, 1797) Sphinx instibilis Martyn, 1797 Cressonia hyperbola Slosson, 1890 Cressonia robinsonii Butler, 1876 Smerinthus pallens Strecker

    Amorpha juglandis

    Amorpha juglandis

    Amorpha_juglandis

  • Vieta jumping
  • Mathematical proof technique

    points on hyperbolas in the first quadrant. The same process of finding smaller roots is used instead to find lower lattice points on a hyperbola while remaining

    Vieta jumping

    Vieta_jumping

  • Alhazen's problem
  • On reflection in a spherical mirror

    the later ones. Ibn al-Haytham's solution is of the second type, using hyperbola, through which he develops a neusis construction. In his 1881 survey of

    Alhazen's problem

    Alhazen's problem

    Alhazen's_problem

  • Quadratic function
  • Polynomial function of degree two

    describe a conic section (a circle or other ellipse, a parabola, or a hyperbola) in the ⁠ x {\displaystyle x} ⁠–⁠ y {\displaystyle y} ⁠ plane. A quadratic

    Quadratic function

    Quadratic function

    Quadratic_function

  • Hyperbolic orthogonality
  • Relation of space and time in relativity theory

    In geometry, given a pair of conjugate hyperbolas, two conjugate diameters are hyperbolically orthogonal. This relationship of diameters was described

    Hyperbolic orthogonality

    Hyperbolic orthogonality

    Hyperbolic_orthogonality

  • Orbital eccentricity
  • Amount by which an orbit deviates from a perfect circle

    a parabolic (escape orbit or capture orbit), and greater than 1 is a hyperbola. The term derives its name from the parameters of conic sections, as every

    Orbital eccentricity

    Orbital eccentricity

    Orbital_eccentricity

  • Alphonse Antonio de Sarasa
  • Belgian mathematician (1618 to 1667)

    contributed to the understanding of logarithms, particularly as areas under a hyperbola. Alphonse de Sarasa was born in 1618, in Nieuwpoort in Flanders. In 1632

    Alphonse Antonio de Sarasa

    Alphonse Antonio de Sarasa

    Alphonse_Antonio_de_Sarasa

  • Blitzortung
  • Volunteer-run lightning detection network

    arrival times of the signals. Figuratively speaking, the server draws a hyperbola line around two of the receivers, which can be calculated from the propagation

    Blitzortung

    Blitzortung

    Blitzortung

  • Director circle
  • Circle formed by all 90° crossings of tangents of an ellipse or hyperbola

    In geometry, the director circle of an ellipse or hyperbola (also called the orthoptic circle or Fermat–Apollonius circle) is a circle consisting of all

    Director circle

    Director circle

    Director_circle

  • Confocal
  • Index of articles associated with the same name

    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

    Confocal

    Confocal

  • Sinusoidal spiral
  • Family of curves of the form r^n = a^n cos(nθ)

    Many well known curves are sinusoidal spirals including: Rectangular hyperbola (n = −2) Line (n = −1) Parabola (n = −1/2) Tschirnhausen cubic (n = −1/3)

    Sinusoidal spiral

    Sinusoidal spiral

    Sinusoidal_spiral

  • Apollonius of Perga
  • Ancient Greek geometer and astronomer (c. 240–190 BC)

    analytic geometry. His definitions of the terms ellipse, parabola, and hyperbola are the ones in use today. With his predecessors Euclid and Archimedes

    Apollonius of Perga

    Apollonius of Perga

    Apollonius_of_Perga

  • Focal conics
  • Pairs of conic sections in geometry

    and a hyperbola, where the hyperbola is contained in a plane, which is orthogonal to the plane containing the ellipse. The vertices of the hyperbola are

    Focal conics

    Focal conics

    Focal_conics

  • Menaechmus
  • 4th-century BC Greek mathematician

    then-long-standing problem of doubling the cube using the parabola and hyperbola. Menaechmus is remembered by mathematicians for his discovery of the conic

    Menaechmus

    Menaechmus

  • Problem of Apollonius
  • Geometry problem about finding touching circles

    16th century, Adriaan van Roomen solved the problem using intersecting hyperbolas, but this solution uses methods not limited to straightedge and compass

    Problem of Apollonius

    Problem of Apollonius

    Problem_of_Apollonius

  • Parametric equation
  • Representation of a curve by a function of a parameter

    constants describing the number of lobes of the figure. An east-west opening hyperbola can be represented parametrically by x = a sec ⁡ t + h y = b tan ⁡ t +

    Parametric equation

    Parametric equation

    Parametric_equation

  • Falcon 9
  • Partially-reusable medium-lift launch vehicle by SpaceX

    Space Nova Vulcan (engines) First stage Amur (Soyuz-7) Eclipse Gravity-2 Hyperbola-3 Long March 10A 10B 12A 12B Maia Miura 5 Nebula 1 2 Pallas 1 2 Neutron

    Falcon 9

    Falcon 9

    Falcon_9

  • Nine-point circle
  • Circle constructed from a triangle

    rectangular hyperbolas that pass through the vertices of a triangle lies on its nine-point circle. Examples include the well-known rectangular hyperbolas of Keipert

    Nine-point circle

    Nine-point circle

    Nine-point_circle

  • Sea Dragon (rocket)
  • 1962 concept for a reusable, sea-launched rocket

    Space Nova Vulcan (engines) First stage Amur (Soyuz-7) Eclipse Gravity-2 Hyperbola-3 Long March 10A 10B 12A 12B Maia Miura 5 Nebula 1 2 Pallas 1 2 Neutron

    Sea Dragon (rocket)

    Sea_Dragon_(rocket)

  • Erdős–Anning theorem
  • On sets of points with integer distances

    also lie on one of d ( B , C ) + 1 {\displaystyle d(B,C)+1} hyperbolas or degenerate hyperbolas defined by equations of the form | d ( B , X ) − d ( C ,

    Erdős–Anning theorem

    Erdős–Anning_theorem

  • Midpoint
  • Point on a line segment which is equidistant from both endpoints

    ellipse. The midpoint of a segment connecting a hyperbola's vertices is the center of the hyperbola. The perpendicular bisector of a side of a triangle

    Midpoint

    Midpoint

    Midpoint

  • Hyperbolic trajectory
  • Concept in astrodynamics

    a hyperbolic trajectory or hyperbolic orbit (from Newtonian theory: hyperbola shape) is the trajectory of any object around a central body with enough

    Hyperbolic trajectory

    Hyperbolic trajectory

    Hyperbolic_trajectory

  • Principal axis theorem
  • Principle in geometry and linear algebra

    or hyperboloid, generalizing the major and minor axes of an ellipse or hyperbola. The principal axis theorem states that the principal axes are perpendicular

    Principal axis theorem

    Principal_axis_theorem

  • Terran R
  • Partially-reusable heavy-lift launch vehicle by Relativity Space

    Space Nova Vulcan (engines) First stage Amur (Soyuz-7) Eclipse Gravity-2 Hyperbola-3 Long March 10A 10B 12A 12B Maia Miura 5 Nebula 1 2 Pallas 1 2 Neutron

    Terran R

    Terran_R

  • Smoothed octagon
  • Two-dimensional shape

    section of a hyperbola that is tangent to the two sides adjacent to the corner and asymptotic to the sides adjacent to these. The hyperbola that forms each

    Smoothed octagon

    Smoothed octagon

    Smoothed_octagon

  • Centre (geometry)
  • point of rotational symmetries. Similarly the centre of an ellipse or a hyperbola is where the axes intersect. Several special points of a triangle are

    Centre (geometry)

    Centre (geometry)

    Centre_(geometry)

  • Napoleon points
  • Point pair associated with plane triangles

    hyperbola and it is called the Kiepert hyperbola in honor of Ludwig Kiepert (1846–1934), the mathematician who discovered this result. This hyperbola

    Napoleon points

    Napoleon_points

  • Vector space
  • Algebraic structure in linear algebra

    A hyperbola, given by the equation x ⋅ y = 1. {\displaystyle x\cdot y=1.} The coordinate ring of functions on this hyperbola is given by R [ x , y ] /

    Vector space

    Vector space

    Vector_space

  • Comparison of Linux distributions
  • January 2024. "Releases". HyperWiki. Hyperbola Project. Retrieved 29 March 2022. Larabel, Michael. "FSF-Approved Hyperbola GNU/Linux Switching Out The Linux

    Comparison of Linux distributions

    Comparison_of_Linux_distributions

  • Elliptic cylindrical coordinates
  • Three-dimensional orthogonal coordinate system

    elliptic cylindrical coordinates. The yellow sheet is the prism of a half-hyperbola corresponding to ν=-45°, whereas the red tube is an elliptical prism corresponding

    Elliptic cylindrical coordinates

    Elliptic cylindrical coordinates

    Elliptic_cylindrical_coordinates

  • North American X-15
  • Rocket-powered aircraft and spaceplane operated by the US Air Force and NASA

    Space Nova Vulcan (engines) First stage Amur (Soyuz-7) Eclipse Gravity-2 Hyperbola-3 Long March 10A 10B 12A 12B Maia Miura 5 Nebula 1 2 Pallas 1 2 Neutron

    North American X-15

    North American X-15

    North_American_X-15

  • Inverse curve
  • Curve created by a geometric operation

    a^{2}\left(u^{2}-v^{2}\right)=1,} the equation of a hyperbola; since inversion is a birational transformation and the hyperbola is a rational curve, this shows the lemniscate

    Inverse curve

    Inverse curve

    Inverse_curve

  • E (mathematical constant)
  • 2.71828...; base of natural logarithms

    The five colored regions are of equal area, and define units of hyperbolic angle along the hyperbola x y = 1. {\displaystyle xy=1.}

    E (mathematical constant)

    E (mathematical constant)

    E_(mathematical_constant)

  • Hyperbolic motion (relativity)
  • Motion of an object with constant proper acceleration in special relativity

    the equation describing the path of the object through spacetime is a hyperbola. It can be visualized when graphed on a Minkowski diagram, whose position

    Hyperbolic motion (relativity)

    Hyperbolic motion (relativity)

    Hyperbolic_motion_(relativity)

  • Jiuquan Satellite Launch Center
  • Chinese launch site

    first successful Chinese private orbital launch from Jiuquan using the Hyperbola-1 rocket.[citation needed] The launch site includes two launch complexes

    Jiuquan Satellite Launch Center

    Jiuquan Satellite Launch Center

    Jiuquan_Satellite_Launch_Center

  • Circumconic and inconic
  • Conic section that passes through the vertices of a triangle or is tangent to its sides

    or 2 points according as the circumconic is an ellipse, parabola, or hyperbola. In barycentric coordinates, the general inconic is tangent to the three

    Circumconic and inconic

    Circumconic and inconic

    Circumconic_and_inconic

  • Long March 12B
  • Chinese medium-lift reusable carrier rocket

    Space Nova Vulcan (engines) First stage Amur (Soyuz-7) Eclipse Gravity-2 Hyperbola-3 Long March 10A 10B 12A 12B Maia Miura 5 Nebula 1 2 Pallas 1 2 Neutron

    Long March 12B

    Long_March_12B

  • Skylon (spacecraft)
  • Single-stage-to-orbit spaceplane

    Space Nova Vulcan (engines) First stage Amur (Soyuz-7) Eclipse Gravity-2 Hyperbola-3 Long March 10A 10B 12A 12B Maia Miura 5 Nebula 1 2 Pallas 1 2 Neutron

    Skylon (spacecraft)

    Skylon_(spacecraft)

  • Space Shuttle
  • Partially reusable launch system and space plane

    Space Nova Vulcan (engines) First stage Amur (Soyuz-7) Eclipse Gravity-2 Hyperbola-3 Long March 10A 10B 12A 12B Maia Miura 5 Nebula 1 2 Pallas 1 2 Neutron

    Space Shuttle

    Space Shuttle

    Space_Shuttle

  • Rocket Lab Neutron
  • Partially-reusable medium-lift launch vehicle

    methane-fueled medium lift-off systems) LandSpace Zhuque-3 Long March 12A i-Space Hyperbola-3 Soyuz-7 "Rocket Lab targets $50 million launch price for Neutron rocket

    Rocket Lab Neutron

    Rocket_Lab_Neutron

  • Zhuque-3
  • Partly reusable Orbital launch vehicle by LandSpace of China

    (Reusable methane-fueled medium lift-off systems) Long March 12A i-Space Hyperbola-3 Rocket Lab Neutron Soyuz-7 "Re: Maiden - Zhuque-3 (Y1) - Jiuquan - December

    Zhuque-3

    Zhuque-3

    Zhuque-3

  • Hyperbolic coordinates
  • Geometric mean and hyperbolic angle as coordinates in quadrant I

    left-right shift corresponds to a squeeze mapping applied to Q. Since hyperbolas in Q correspond to lines parallel to the boundary of HP, they are horocycles

    Hyperbolic coordinates

    Hyperbolic coordinates

    Hyperbolic_coordinates

  • Axial Age
  • Proposed age of religious and philosophical change from the 8th to 3rd centuries BCE

    Ostrovsky, Max (2006). The Hyperbola of the World Order, (Lanham: University Press of America) Ostrovsky, Max (2006). The Hyperbola of the World Order, (Lanham:

    Axial Age

    Axial_Age

  • Cylinder
  • Three-dimensional solid

    a right section of a cylinder is a conic section (parabola, ellipse, hyperbola) then the solid cylinder is said to be parabolic, elliptic and hyperbolic

    Cylinder

    Cylinder

    Cylinder

  • Midpoint theorem (conics)
  • Collinearity of the midpoints of parallel chords in a conic

    segment for the midpoints is called the diameter. For a circle, ellipse or hyperbola the diameter goes through its center. For a parabola the diameter is always

    Midpoint theorem (conics)

    Midpoint theorem (conics)

    Midpoint_theorem_(conics)

  • Analytic geometry
  • Study of geometry using a coordinate system

    equation represents a hyperbola; if we also have A + C = 0 {\displaystyle A+C=0} , the equation represents a rectangular hyperbola. A quadric, or quadric

    Analytic geometry

    Analytic_geometry

  • Orthocenter
  • Intersection of triangle altitudes

    Weisstein, Eric W. "Jerabek Hyperbola." From MathWorld--A Wolfram Web Resource. http://mathworld.wolfram.com/JerabekHyperbola.html Berele & Goldman 2001

    Orthocenter

    Orthocenter

    Orthocenter

  • Newton's laws of motion
  • Laws in physics about force and motion

    conic sections, that is, ellipses (including circles), parabolas, or hyperbolas. The eccentricity of the orbit, and thus the type of conic section, is

    Newton's laws of motion

    Newton's_laws_of_motion

  • Liquid oxygen
  • One of the physical forms of elemental oxygen

    (under development) Galactic Energy: Pallas-1 (under development) i-Space: Hyperbola-3 (under development) LandSpace: Zhuque-2E, Zhuque-3 Orienspace: Gravity-2

    Liquid oxygen

    Liquid oxygen

    Liquid_oxygen

  • Proportionality (mathematics)
  • Property of two varying quantities with a constant ratio

    varying inversely on the Cartesian coordinate plane is a rectangular hyperbola. The product of the x and y values of each point on the curve equals the

    Proportionality (mathematics)

    Proportionality (mathematics)

    Proportionality_(mathematics)

  • Orthogonality
  • Various meanings of the terms

    features relativity of simultaneity. In geometry, given a pair of conjugate hyperbolas, two conjugate diameters are hyperbolically orthogonal. This relationship

    Orthogonality

    Orthogonality

    Orthogonality

  • Energia (rocket)
  • Soviet launch vehicle

    Space Nova Vulcan (engines) First stage Amur (Soyuz-7) Eclipse Gravity-2 Hyperbola-3 Long March 10A 10B 12A 12B Maia Miura 5 Nebula 1 2 Pallas 1 2 Neutron

    Energia (rocket)

    Energia (rocket)

    Energia_(rocket)

  • Cissoid
  • Plane curve constructed from two other curves and a fixed point

    x^{2}-m^{2}y^{2}=bx+cy.} This is a hyperbola passing through the origin. So the cissoid of two non-parallel lines is a hyperbola containing the pole. A similar

    Cissoid

    Cissoid

    Cissoid

  • Natural logarithm
  • Logarithm to the base of the mathematical constant e

    Antonio de Sarasa before 1649. Their work involved quadrature of the hyperbola with equation xy = 1, by determination of the area of hyperbolic sectors

    Natural logarithm

    Natural logarithm

    Natural_logarithm

  • Concurrent lines
  • Lines which intersect at a single point

    ellipse. In a hyperbola the following are concurrent: (1) a circle passing through the hyperbola's foci and centered at the hyperbola's center; (2) either

    Concurrent lines

    Concurrent lines

    Concurrent_lines

  • Johan de Witt
  • Dutch statesman (1625–1672)

    well as the contemporary Claude Mydorge. Johan de Witt describes the hyperbola with a rotating line and a sliding angle, and a parabola by means of a

    Johan de Witt

    Johan de Witt

    Johan_de_Witt

  • Long March 10B
  • Chinese commercial medium-lift rocket

    Space Nova Vulcan (engines) First stage Amur (Soyuz-7) Eclipse Gravity-2 Hyperbola-3 Long March 10A 10B 12A 12B Maia Miura 5 Nebula 1 2 Pallas 1 2 Neutron

    Long March 10B

    Long_March_10B

  • Spacetime
  • Mathematical model combining space and time

    diagram, which are termed invariant hyperbolae. In Fig. 2-7a, each magenta hyperbola connects all events having some fixed spacelike separation from the origin

    Spacetime

    Spacetime

    Spacetime

  • Limaçon trisectrix
  • Quartic plane curve

    r^{-1}} is the polar equation of a hyperbola with eccentricity equal to 2, a curve that is a trisectrix. (See Hyperbola - angle trisection.) Xah Lee. "Trisectrix"

    Limaçon trisectrix

    Limaçon trisectrix

    Limaçon_trisectrix

  • Asymptote
  • Limit of the tangent line at a point that tends to infinity

    that have one or two horizontal asymptotes include x ↦ 1/x (that has an hyperbola as it graph), the Gaussian function x ↦ exp ⁡ ( − x 2 ) , {\displaystyle

    Asymptote

    Asymptote

    Asymptote

  • Modern portfolio theory
  • Mathematical framework for investment risk

    hyperbolic boundary is the capital allocation line (CAL). The vertex of the hyperbola represents the Global Minimum Variance Portfolio (GMVP), which is the

    Modern portfolio theory

    Modern portfolio theory

    Modern_portfolio_theory

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Online names & meanings

  • IGNAC
  • Male

    Slovene

    IGNAC

    Short form of Slovene Ignacij, possibly IGNAC means "unknowing."

  • Preetesh
  • Boy/Male

    Hindu

    Preetesh

    Lord of Love

  • Rainey
  • Girl/Female

    Australian, British, English

    Rainey

    Cool; Pleasent; Love

  • Hadya
  • Boy/Male

    Arabic

    Hadya

    Gift

  • Iras
  • Girl/Female

    Shakespearean

    Iras

    Antony and Cleopatra'. Lady attending on Cleopatra.

  • Methusael
  • Boy/Male

    Biblical

    Methusael

    Who demands his death.

  • STOFFEL
  • Male

    Dutch

    STOFFEL

    , Christ-bearer.

  • Freeya |
  • Girl/Female

    Muslim

    Freeya |

    Beloved, Goddess of Love

  • Zaine
  • Boy/Male

    English

    Zaine

    or John.

  • Al-WahhÂb |
  • Boy/Male

    Muslim

    Al-WahhÂb |

    The bestower

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Other words and meanings similar to

HYPERBOLA

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HYPERBOLA

  • Hyperbolically
  • adv.

    In the form of an hyperbola.

  • Eccentricity
  • n.

    The ratio of the distance between the center and the focus of an ellipse or hyperbola to its semi-transverse axis.

  • Hyperboliform
  • a.

    Having the form, or nearly the form, of an hyperbola.

  • Branch
  • n.

    One of the portions of a curve that extends outwards to an indefinitely great distance; as, the branches of an hyperbola.

  • Hyperboloid
  • n.

    A surface of the second order, which is cut by certain planes in hyperbolas; also, the solid, bounded in part by such a surface.

  • Indicatrix
  • n.

    A certain conic section supposed to be drawn in the tangent plane to any surface, and used to determine the accidents of curvature of the surface at the point of contact. The curve is similar to the intersection of the surface with a parallel to the tangent plane and indefinitely near it. It is an ellipse when the curvature is synclastic, and an hyperbola when the curvature is anticlastic.

  • Hyperbola
  • n.

    A curve formed by a section of a cone, when the cutting plane makes a greater angle with the base than the side of the cone makes. It is a plane curve such that the difference of the distances from any point of it to two fixed points, called foci, is equal to a given distance. See Focus. If the cutting plane be produced so as to cut the opposite cone, another curve will be formed, which is also an hyperbola. Both curves are regarded as branches of the same hyperbola. See Illust. of Conic section, and Focus.

  • Hyperboloid
  • a.

    Having some property that belongs to an hyperboloid or hyperbola.

  • Hyperbolical
  • a.

    Belonging to the hyperbola; having the nature of the hyperbola.

  • Lemniscate
  • n.

    A curve in the form of the figure 8, with both parts symmetrical, generated by the point in which a tangent to an equilateral hyperbola meets the perpendicular on it drawn from the center.

  • Parameter
  • n.

    Specifically (Conic Sections), in the ellipse and hyperbola, a third proportional to any diameter and its conjugate, or in the parabola, to any abscissa and the corresponding ordinate.