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parabola    音标拼音: [pɚ'æbələ]
n. 抛物线

抛物线

parabola
抛物线

parabola
n 1: a plane curve formed by the intersection of a right
circular cone and a plane parallel to an element of the
curve

Parabola \Pa*rab"o*la\, n.; pl. {Parabolas}. [NL., fr. Gr. ?; --
so called because its axis is parallel to the side of the
cone. See {Parable}, and cf. {Parabole}.] (Geom.)
(a) A kind of curve; one of the conic sections formed by the
intersection of the surface of a cone with a plane
parallel to one of its sides. It is a curve, any point of
which is equally distant from a fixed point, called the
focus, and a fixed straight line, called the directrix.
See {Focus}.
(b) One of a group of curves defined by the equation y =
ax^{n} where n is a positive whole number or a positive
fraction. For the {cubical parabola} n = 3; for the
{semicubical parabola} n = 3/2. See under {Cubical}, and
{Semicubical}. The parabolas have infinite branches, but
no rectilineal asymptotes.
[1913 Webster]


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  • Parabola - Wikipedia
    In mathematics, a parabola is a plane curve which is mirror-symmetrical and is approximately U-shaped It fits several superficially different mathematical descriptions, which can all be proved to define exactly the same curves One description of a parabola involves a point (the focus) and a line (the directrix)
  • Parabola - Math is Fun
    A parabola is a curve where any point is at an equal distance from: a fixed point (the focus), and; a fixed straight line (the directrix)
  • Parabola - Formula, Graphing, Examples | Parabola Equation - Cuemath
    A parabola is the locus of a point that is equidistant from a fixed point called the focus (F), and the fixed-line is called the Directrix (x + a = 0) Let us consider a point P(x, y) on the parabola, and using the formula PF = PM, we can find the equation of the parabola
  • Parabola - Graph, Properties, Examples Equation of Parabola
    In this article, we will understand what a parabola is, its graph and properties, examples, and the Equation of a Parabola, and others in detail Definition and Key Elements A parabola is a symmetrical curve that is defined as the set of all points that are equidistant from a fixed point (the focus) and a fixed straight line (the directrix
  • What are parabolas, their equations, their rules? | Purplemath
    What is a parabola? A parabola is a particular type of geometrical curve which, algebraically, corresponds to a quadratic equation In geometrical terms, the parabola corresponds to the edge of slice of an inverted cone; this slice is what is called the conic "section"
  • Parabola - Math. net
    A parabola is the characteristic U-shaped curve of a quadratic equation A parabola can be used to model many real-world phenomena For example, when you shoot a basketball, the path of the ball creates a parabola Below are two parabola graph examples, one in which the parabola opens upwards and one in which it opens downwards:
  • Parabola | Definition, Origin, Equation, Applications | Britannica
    parabola, open curve, a conic section produced by the intersection of a right circular cone and a plane parallel to an element of the cone—that is, the cone’s surface
  • What is a Parabola? - Interactive Mathematics
    In geometry, a parabola is a two-dimensional, mirror symmetrical curve which is approximately U-shaped It fits any of several superficially different mathematical descriptions which can all be proved to define curves of exactly the same shape
  • 11. 3: Parabolas - Mathematics LibreTexts
    Parabola: A parabola is all points in a plane that are the same distance from a fixed point and a fixed line The fixed point is called the focus, and the fixed line is called the directrix of the parabola
  • The Parabola | Algebra and Trigonometry - Lumen Learning
    A parabola is the set of all points[latex]\,\left(x,y\right)[ latex] in a plane that are the same distance from a fixed line, called the directrix, and a fixed point (the focus) not on the directrix In Quadratic Functions, we learned about a parabola’s vertex and axis of symmetry Now we extend the discussion to include other key features of





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