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hyperbola    音标拼音: [hɑɪp'ɚbələ]
n. 双曲线

双曲线

hyperbola
双曲线

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
    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 propel it at high speed away from the planet and back out into space using a technique called "gravitational slingshot"
  • 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
  • 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
  • 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
  • Algebra - Hyperbolas
    In this section we will graph hyperbolas We introduce the standard form of an ellipse and how to use it to quickly graph a hyperbola





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