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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
  • Parabola - Formula, Graphing, Examples | Parabola Equation - Cuemath
    A parabola refers to an equation of a curve, such that a point on the curve is equidistant from a fixed point and a fixed line Its general equation is of the form y^2 = 4ax (if it opens left right) or of the form x^2 = 4ay (if it opens up down)
  • Parabola - Math is Fun
    A parabola is a curve where any point is at an equal distance from: Get a piece of paper, draw a straight line on it, then make a big dot for the focus (not on the line!) Now play around with some measurements until you have another dot that is exactly the same distance from the focus and the straight line
  • Parabola | Definition, Origin, Equation, Applications | Britannica
    The parabola is an open curve that is a conic section produced by the intersection of a right circular cone and a plane parallel to an element of the cone
  • 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"
  • Parabolas - California State University, Northridge
    We say that the first parabola opens upwards (is a U shape) and the second parabola opens downwards (is an upside down U shape) In order to graph a parabola we need to find its intercepts, vertex, and which way it opens Given y = ax 2 + bx + c , we have to go through the following steps to find the points and shape of any parabola:
  • 2. 4: The Parabola - Mathematics LibreTexts
    Previously, we learned about a parabola’s vertex and axis of symmetry Now we extend the discussion to include other key features of the parabola (Figure 2 4 3) Notice that the axis of symmetry passes through the focus and vertex and is perpendicular to the directrix The vertex is the midpoint between the directrix and the focus
  • Parabola - Definition, Equations, Examples, Diagrams
    What is a parabola in mathematics with examples, real-life applications, and diagrams Also, learn its formula in different forms and how to fnd them
  • Parabola - Definition and Equation - Basic-mathematics. com
    By definition, a parabola is the set of all points (x,y) in a plane that are the same distance from a fixed line and a fixed point not on the line The fixed point is the focus and the fixed line is the directrix





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