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What is another word for asymptotes?

Pronunciation: [ˈasɪmptˌə͡ʊts] (IPA)

Asymptotes are mathematical terms used to describe a line on a graph that approaches a curve but never touches it. Synonyms for asymptotes might include the terms "limiting lines," "approaching lines," or "diverging lines." These words help to convey the concept of a line that never intersects with a curve, but instead moves infinitely close to it. Other synonyms for asymptotes might include "boundary lines," "tangent lines," or "edge lines." Ultimately, these synonyms help to provide a more nuanced understanding of the concept of asymptotes, and make it easier for mathematicians and students of all levels to grasp the mathematical concepts involved.
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Synonyms for Asymptotes:

What are the hypernyms for Asymptotes?

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

  • Other hypernyms:

    curve, line, mathematical concept.

Usage examples for Asymptotes

Right and truth and justice, in their relation to human affairs, are as asymptotes which, though continually drawing nearer and nearer to the curve, can never reach it but by a violation of all on which their own existence is founded.
"Ex Voto"
Samuel Butler
Geometricians indeed will tell you, the properties of asymptotes are demonstrated; you cannot help admitting them-but creation is not; why then admit it?
"A Philosophical Dictionary, Volume 7 (of 10) From "The Works of Voltaire - A Contemporary Version""
François-Marie Arouet (AKA Voltaire) Commentator: John Morley Tobias Smollett H.G. Leigh
9. The tangents to a curve at its infinitely distant points are called its asymptotes if they pass through a finite part of the plane.
"An Elementary Course in Synthetic Projective Geometry"
Lehmer, Derrick Norman

Famous quotes with Asymptotes

  • 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

Related words: simplifying asymptotes, asymptotes definition, graphing asymptotes, graph asymptotes, graphical representation of asymptotes, sketching using asymptotes

Related questions:

  • How do you graph an asymptote?
  • How do you graph a curve without an asymptote?

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