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hyperbola    音標拼音: [hɑɪp'ɚbələ]
n. 雙曲線

雙曲線

hyperbola
雙曲線

hyperbola
n 1: an open curve formed by a plane that cuts the base of a
right circular cone

Hyperbola \Hy*per"bo*la\, n. [Gr. ?, prop., an overshooting,
excess, i. e., of the angle which the cutting plane makes
with the base. See {Hyperbole}.] (Geom.)
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}.
[1913 Webster]

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  • Hyperbola - Wikipedia
    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 set A hyperbola has two pieces, called connected components or branches, that are mirror images of each other and resemble two infinite bows
  • Hyperbola - Equation, Properties, Examples | Hyperbola Formula - Cuemath
    What is Hyperbola? A hyperbola, a type of smooth curve lying in a plane, has two pieces, called connected components or branches, that are mirror images of each other and resemble two infinite bows A hyperbola is a set of points whose difference of distances from two foci is a constant value
  • Hyperbola - Math is Fun
    Did you know that the orbit of a spacecraft can sometimes be a hyperbola? A spacecraft can use the gravity of a planet to alter its path and
  • Hyperbola - Definition, Equations, Formulas, Examples, Diagrams
    What is a hyperbola in mathematics Learn its equations in the standard and parametric forms using examples and diagrams
  • Hyperbola - Equation, Definition Properties - GeeksforGeeks
    A hyperbola is a conic section formed when a plane cuts a double right circular cone at an angle such that it intersects both halves (nappes) of the cone It can be described using concepts like foci, directrix, latus rectum, and eccentricity
  • Hyperbolas: Their Equations, Graphs, and Terms | Purplemath
    An hyperbola looks like two parabolas opening in opposite directions The term comes from the Greek word for excess, and refers to the eccentricity
  • 10. 2: The Hyperbola - Mathematics LibreTexts
    In analytic geometry, a hyperbola is a conic section formed by intersecting a right circular cone with a plane at an angle such that both halves of the cone are intersected
  • Hyperbola - from Wolfram MathWorld
    The hyperbola is the shape of an orbit of a body on an escape trajectory (i e , a body with positive energy), such as some comets, about a fixed mass, such as the sun
  • Hyperbolas - Definition, Equations, Properties, Types and Examples | CK . . .
    Imagine you’re a scientist tracking signals from two distant space probes You notice that if you mark all the points where the difference in travel times of the signals is the same, they form a special curve This curve is called a hyperbola Hyperbolas show up in many real-world situations
  • What is Hyperbola: Equation, Asymptotes, Latus Rectum Examples - ALLEN
    The hyperbola is a conic section formed by the intersection of a plane with both halves of a double cone It consists of two distinct branches, each extending infinitely, and is defined by its geometric properties, including its foci, asymptotes, and eccentricity





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