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parabola    音標拼音: [pɚ'æbələ]
n. 拋物線

拋物線

parabola
拋物線

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 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 | 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
  • 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:
  • 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
  • Parabola - Mathwords
    Parabola A u-shaped curve with certain specific properties Formally, a parabola is defined as follows: For a given point, called the focus, and a given line not through the focus, called the directrix, a parabola is the locus of points such that the distance to the focus equals the distance to the directrix
  • Parabola – Properties, Components, and Graph - The Story of Mathematics
    Parabolas are curves that contain points where their distances from the focus and their distances from the directrix will always be equal The model below can help us visualize what this definition means A parabola will contain three important elements: a focus, a directrix, and a vertex





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