What is another word for parabola?

Pronunciation: [pəɹˈabələ] (IPA)

Parabola is a geometric curve often used in mathematics and science. However, there are several other terms that can be used as synonyms for this word depending on the context of use. These synonyms include: focus-directrix, locus of points equidistant to a point and a line, quadratic curve, arc, and conic section. In a mathematical sense, it can also be referred to as a second-degree curve or a U-shaped curve. The use of these synonyms helps to provide clarity and context to mathematical and scientific discussions, enabling better communication and understanding. Regardless of the synonym used, the parabola remains a crucial element in many fields of study and research.

What are the hypernyms for Parabola?

A hypernym is a word with a broad meaning that encompasses more specific words called hyponyms.

What are the hyponyms for Parabola?

Hyponyms are more specific words categorized under a broader term, known as a hypernym.

What are the opposite words for parabola?

Parabola is a mathematical term that describes a symmetrical curve in two-dimensional space. Its antonyms are words that have opposite meanings, and these include straight line, flat, level, even, and smooth. A straight line is the opposite of a curvaceous parabola, while flat, level, and even describe a surface that lacks any curvature or undulation. Smooth suggests a lack of bumps or ridges, the opposite of a parabolic curve that is defined by a line of symmetry. Understanding antonyms can help to develop a richer understanding of words and the concepts that they describe.

What are the antonyms for Parabola?

  • n.

    curve

Usage examples for Parabola

The earth's velocity in its orbit is only 19 miles per second, and the velocity of any comet at any distance from the sun, provided its orbit is a parabola, may be found by dividing this number by the square root of half the comet's distance-e.
"A Text-Book of Astronomy"
George C. Comstock
It will here be only necessary to point to the connection which exists between the parabola and the ellipse.
"The Story of the Heavens"
Robert Stawell Ball
Imagine the process carried on until at length the distance between the foci became enormously great in comparison with the distance from each focus to the curve, then each end of this long ellipse will practically have the same form as a parabola.
"The Story of the Heavens"
Robert Stawell Ball

Famous quotes with Parabola

  • As an artist, you don't think about the parabola or the arc you're describing or where you're going to ultimately end up, you're just kind of crawling around, seeing what's out there.
    Michael Nesmith
  • I could give here several other ways of tracing and conceiving a series of curved lines, each curve more complex than any preceding one, but I think the best way to group together all such curves and them classify them in order, is by recognizing the fact that all points of those curves which we may call "geometric," that is, those which admit of precise and exact measurement, must bear a definite relation to all points of a straight line, and that this relation must be expressed by a single equation. If this equation contains no term of higher degree than the rectangle of two unknown quantities, or the square of one, the curve belongs to the first and simplest class, which contains only the circle, the parabola, the hyperbola, and the ellipse; but when the equation contains one or more terms of the third or fourth degree in one or both of the two unknown quantities (for it requires two unknown quantities to express the relation between two points) the curve belongs to the second class; and if the equation contains a term of the fifth or sixth degree in either or both of the unknown quantities the curve belongs to the third class, and so on indefinitely.
    René Descartes
  • The great Cartesian invention had its roots in those famous problems of antiquity which originated in the days of Plato. In endeavoring to solve the problems of the trisection of an angle, of the duplication of the cube and of the squaring of the circle, the ruler and compass having failed them, the Greek geometers sought new curves. They stumbled on the ...There we find the nucleus of the method which Descartes later erected into a principle. Thus Apollonius referred the parabola to its axis and principal tangent, and showed that the semichord was the mean propotional between the latus rectum and the height of the segment. Today we express this relation by = L, calling the height the (y) and the semichord the (x); the being... L. ...the Greeks named these curves and many others... ... Thus the ellipse was the of a point the sum of the distances of which from two fixed points was constant. Such a description was a of the curve...
    Tobias Dantzig
  • The discovery of Hippocrates amounted to the discovery of the fact that from the relation (1)it follows thatand if , [then , and]The equations (1) are equivalent [by reducing to common denominators or cross multiplication] to the three equations (2)[or equivalently...and the solutions of Menaechmus described by Eutocius amount to the determination of a point as the intersection of the curves represented in a rectangular system of Cartesian coordinates by any two of the equations (2). Let AO, BO be straight lines placed so as to form a right angle at O, and of length respectively. Produce BO to and AO to . The solution now consists in drawing a parabola, with vertex O and axis O, such that its parameter is equal to BO or , and a hyperbola with O, O as asymptotes such that the rectangle under the distances of any point on the curve from O, O respectively is equal to the rectangle under AO, BO i.e. to . If P be the point of intersection of the parabola and hyperbola, and PN, PM be drawn perpendicular to O, O, i.e. if PN, PM be denoted by , the coordinates of the point P, we shall havewhenceIn the solution of Menaechmus we are to draw the parabola described in the first solution and also the parabola whose vertex is O, axis O and parameter equal to . The point P where the two parabolas intersect is given bywhence, as before,
    Thomas Little Heath
  • Along a parabola life like a rocket flies, Mainly in darkness, now and then on a rainbow.
    Andrey Voznesensky

Related words: parabola equation, equation for parabola, equation for a parabola, graph of a parabola, find the equation for a parabola, parabola formula, what is a parabola, how to find the equation of a parabola, graphs of parabolas

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