What is another word for hyperbola?

Pronunciation: [ha͡ɪpˈɜːbələ] (IPA)

Hyperbola is a mathematical term used to describe a type of curve. It is often used in calculus and geometry to represent the shape of certain functions and equations. Some synonyms for hyperbola include curve, shape, arc, bow, and parabola. These synonyms can help to better describe the hyperbola and its properties. For example, the curve of a hyperbola is often compared to the arc of a rainbow or the shape of a bow and arrow. The parabola synonym can also be used to describe a similar curve, although the hyperbola is more elongated in shape.

What are the hypernyms for Hyperbola?

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

What are the hyponyms for Hyperbola?

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

What are the opposite words for hyperbola?

Hyperbola is a mathematical term used to describe a type of curve. But what if you wanted to describe a curve that was the opposite of a hyperbola? In other words, what are some antonyms for the word hyperbola? One possible antonym for hyperbola is "ellipse," which is another type of curve that is symmetrical and closed. Another antonym might be "parabola," which is a curve that is typically shaped like a U and is often used in physics and engineering to describe motion and trajectories. Other possible antonyms for hyperbola might include "straight line," "circle," or "spiral," depending on the context and the specific properties of the curve being described.

What are the antonyms for Hyperbola?

  • n.

    curve

Usage examples for Hyperbola

Its velocity would have been increased, its orbit changed to a hyperbola, and it would have left the solar system more rapidly than it came into it, thrust out instead of held in by the disturbing planet.
"A Text-Book of Astronomy"
George C. Comstock
If the velocity of the comet is accelerated by this disturbing influence, the orbit will be changed from a parabola into another curve known as a hyperbola, and the comet will swing round the sun and pass away never to return.
"The Story of the Heavens"
Robert Stawell Ball
The combination of a centripetal with a projectile force, in the proportions which obtain in all the planets and satellites of our solar system, gives rise to an elliptical motion; but if the ratio of the two forces to each other were slightly altered, it is demonstrable that the motion produced would be in a circle, or a parabola, or an hyperbola: and it has been surmised that in the case of some comets one of these is really the fact.
"A System Of Logic, Ratiocinative And Inductive (Vol. 1 of 2)"
John Stuart Mill

Famous quotes with Hyperbola

  • 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 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
  • Menæchmus, a pupil of Eudoxus, and a contemporary of Plato, found the two mean proportionals by means of conic sections, in two ways, (α) by the intersection of two parabolas, the equations of which in Cartesian co-ordinates would be , , and (β) by the intersection of a parabola and a rectangular hyperbola, the corresponding equations being , and respectively. It would appear that it was in the effort to solve this problem that Menæchmus discovered the conic sections, which are called, in an epigram by Eratosthenes, "the triads of Menæchmus".
    Thomas Little Heath

Related words: hyperbola equation, hyperbola graph, hyperbola meaning, hyperbola equation graph, hyperbola in mathematics, hyperbola equation in maths, hyperbola in physics

Related questions:

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