### Asymptote

The point on a graph where a line reaches a plateau; in the growth of a population it is the point at which numerical stability is reached.

[

*n]* - a straight line that is the limiting value of a curve

Found on http://www.webdictionary.co.uk/definition.php?query=asymptote

**As'ymp·tote** * noun* [ Greek ... not falling together;

'a priv. + ... to fall together; ... with + ... to fall. Confer

__ Symptom__ .]

* (Math.)* A line which approaches nearer to some curve than assignable distance, but, though infinitely extended, would never meet it. Asymptotes may be st...

Found on http://www.encyclo.co.uk/webster/A/138

<mathematics> A line which approaches nearer to some curve than assignable distance, but, though infinitely extended, would never meet it. Asymptotes may be straight lines or curves. A rectilinear asymptote may be conceived as a tangent to the curve at an infinite distance. ... Origin: Gr. Not falling together; priv. + to fall together; with ...

Found on http://www.encyclo.co.uk/local/20973

*noun* a straight line that is the limiting value of a curve; can be considered as tangent at infinity; `the asymptote of the curve`

Found on http://wordnetweb.princeton.edu/perl/webwn?s=asymptote

• (n.) A line which approaches nearer to some curve than assignable distance, but, though infinitely extended, would never meet it. Asymptotes may be straight lines or curves. A rectilinear asymptote may be conceived as a tangent to the curve at an infinite distance.

Found on http://thinkexist.com/dictionary/meaning/asymptote/

(from the article `mathematics`) ...of these curves. A sample of the topics he covered includes the following: the relations satisfied by the diameters and tangents of conics (Book ...

Found on http://www.britannica.com/eb/a-z/a/117

asymptote 1. A straight line that a curve continually approaches, but never meets, even if the curve is extended to infinity. 2. A line that draws increasingly nearer to a curve without ever meeting it. 3. From Greek asymptotos, 'not falling together,' from a-, 'not' + syn 'with' + ptotos, 'fallen'; from piptein, 'to fall'.

Found on http://www.wordinfo.info/words/index/info/view_unit/1785/

A curve that gets closer and closer to a fixed straight line without ever actually touching it. Imagine facing along the direction of a great wall that is just a meter to your left. Every second, you walk forward a meter and at the same time move sideways slightly so that you halve the distance be...

Found on http://www.daviddarling.info/encyclopedia/A/asymptote.html

In geometry, an asymptote is a line which is continually approaching a curve, but never meets it, however far either of them may be prolonged. This may be conceived as a tangent to a curve at an infinite distance.

Found on http://www.probertencyclopaedia.com/browse/GA.HTM

In coordinate geometry, a straight line that a curve approaches progressively more closely but never reaches. The

*x* and

*y* axes are asymptotes to the graph of

*xy* = constant (a rectangular hyperbola). If a point on a curve approaches a straight line such that its distance from the straight ...

Found on http://www.talktalk.co.uk/reference/encyclopaedia/hutchinson/m0035756.html

*[vector graphics language]* Asymptote is a descriptive vector graphics language, developed by Andy Hammerlindl, John C. Bowman (University of Alberta), and Tom Prince, that provides a natural coordinate-based framework for technical drawing. Asymptote runs on all major platforms (Unix, Mac OS, Microsoft Windows). It is free software, availab...

Found on http://en.wikipedia.org/wiki/Asymptote_(vector_graphics_language)

In analytic geometry, an asymptote (t) of a curve is a line such that the distance between the curve and the line approaches zero as they tend to infinity. Some sources include the requirement that the curve may not cross the line infinitely often, but this is unusual for modern authors. In some contexts, such as algebraic geometry, an asymptote i...

Found on http://en.wikipedia.org/wiki/Asymptote

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