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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
    [1] 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 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
  • HYPERBOLA Definition Meaning - Merriam-Webster
    The meaning of HYPERBOLA is a plane curve generated by a point so moving that the difference of the distances from two fixed points is a constant : a curve formed by the intersection of a double right circular cone with a plane that cuts both halves of the cone
  • 8. 2 The Hyperbola - College Algebra 2e | OpenStax
    A hyperbola is the set of all points (x, y) (x, y) in a plane such that the difference of the distances between (x, y) (x, y) and the foci is a positive constant
  • 10 Hyperbola Examples In Real Life To Understand It Better
    Many of us have observed a couple of curves facing away from each other This shape is called a hyperbola In simple terms, a hyperbola is an open curve with two branches It forms when a plane intersects a double cone, resulting in a shape that looks like two “C”s turning away from each other
  • Hyperbola - Simple English Wikipedia, the free encyclopedia
    A hyperbola is created when the plane intersects both halves of a double cone, creating two curves that look exactly like each other, but open in opposite directions





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