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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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英文字典中文字典相關資料:
  • Parabola - Wikipedia
    Part of a parabola (blue), with various features (other colours) The complete parabola has no endpoints In this orientation, it extends infinitely to the left, right, and upward The parabola is a member of the family of conic sections
  • 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, 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, 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"
  • PARABOLA Definition Meaning - Merriam-Webster
    The meaning of PARABOLA is a plane curve generated by a point moving so that its distance from a fixed point is equal to its distance from a fixed line : the intersection of a right circular cone with a plane parallel to an element of the cone
  • Parabola in Maths - GeeksforGeeks
    A parabola is a U-shaped symmetric curve defined as the set of all points that are equidistant from a fixed point called the focus and a fixed line called the directrix It is one of the four conic sections and has an eccentricity of exactly 1
  • Parabolas - Definition, Equations, Proof, Properties and Examples | CK . . .
    Have you ever wondered about the mathematical shape behind these curves? The answer lies in the parabola, a fundamental shape in mathematics that appears not only in architecture and sports but also in science and engineering





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