Dictionary.com
Thesaurus.com

asymptote

American  
[as-im-toht] / ˈæs ɪmˌtoʊt /

noun

Mathematics.
  1. a straight line approached by a given curve as one of the variables in the equation of the curve approaches infinity.


asymptote British  
/ ˈæsɪmˌtəʊt /

noun

  1. a straight line that is closely approached by a plane curve so that the perpendicular distance between them decreases to zero as the distance from the origin increases to infinity

"Collins English Dictionary — Complete & Unabridged" 2012 Digital Edition © William Collins Sons & Co. Ltd. 1979, 1986 © HarperCollins Publishers 1998, 2000, 2003, 2005, 2006, 2007, 2009, 2012

asymptote Scientific  
/ ăs′ĭm-tōt′ /
  1. A line whose distance to a given curve tends to zero. An asymptote may or may not intersect its associated curve.


Etymology

Origin of asymptote

1650–60; < Greek asýmptōtos, equivalent to a- a- 6 + sýmptōtos falling together ( sym- sym- + ptōtós falling, derivative of ptō-, variant stem of píptein to fall + -tos verbid suffix)


Explanation

In geometry, an asymptote of a curve is a straight line that gets closer and closer but never touches the curve. An asymptote is sometimes called a tangent. This is a term you're most likely to come across in math class. An asymptote is a straight line, but specifically one that approaches or nears a curve but never meets it. The noun asymptote has been a geometry term since the 1600's, and it comes from the Greek root asymptotos, or "not falling together," which combines a, "not," syn, "with," and ptotos, "fallen."

Keep Reading on Vocabulary.com

Vocabulary lists containing asymptote

Example Sentences

Examples are provided to illustrate real-world usage of words in context. Any opinions expressed do not reflect the views of Dictionary.com.

See Examples For:

Notice the horizontal asymptote is This means the concentration, the ratio of pounds of sugar to gallons of water, will approach 0.1 in the long term.

From Textbooks ● Dec. 1, 2021

What is the equation of the vertical asymptote?

From Textbooks ● Sep. 23, 2020

Figure 4.40 The function approaches the asymptote y = 2 as x approaches ±∞.

From Textbooks ● Mar. 30, 2016

The line x = a is called a vertical asymptote of the graph.

From Textbooks ● Mar. 30, 2016

To-day is but the asymptote of to-morrow, that curve perpetually drawing near, but never reaching the straight line flying into infinity.

From The Atlantic Monthly, Volume 18, No. 107, September, 1866 by Various

Random Word

Spin the wheel and learn a new word!

Get a word

Vocabulary.com logo
by dictionary.com

Dictionary.com's Learning Companion

Go beyond just looking up words.
Remember them forever with VocabTrainer.

Start training