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- Asymptote abstract "In analytic geometry, an asymptote (/ˈæsɪmptoʊt/) 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 is defined as a line which is tangent to a curve at infinity.The word asymptote is derived from the Greek ἀσύμπτωτος (asumptotos) which means "not falling together," from ἀ priv. + σύν "together" + πτωτ-ός "fallen." The term was introduced by Apollonius of Perga in his work on conic sections, but in contrast to its modern meaning, he used it to mean any line that does not intersect the given curve.There are potentially three kinds of asymptotes: horizontal, vertical and oblique asymptotes. For curves given by the graph of a function y = ƒ(x), horizontal asymptotes are horizontal lines that the graph of the function approaches as x tends to +∞ or −∞. Vertical asymptotes are vertical lines near which the function grows without bound.More generally, one curve is a curvilinear asymptote of another (as opposed to a linear asymptote) if the distance between the two curves tends to zero as they tend to infinity, although usually the term asymptote by itself is reserved for linear asymptotes. Asymptotes convey information about the behavior of curves in the large, and determining the asymptotes of a function is an important step in sketching its graph. The study of asymptotes of functions, construed in a broad sense, forms a part of the subject of asymptotic analysis.".
- Asymptote thumbnail 1-over-x-plus-x_abs.svg?width=300.
- Asymptote wikiPageExternalLink 10314748.aspx.
- Asymptote wikiPageID "3107".
- Asymptote wikiPageRevisionID "603292533".
- Asymptote first "L.P.".
- Asymptote hasPhotoCollection Asymptote.
- Asymptote id "6100".
- Asymptote id "A/a013610".
- Asymptote last "Kuptsov".
- Asymptote title "Asymptote".
- Asymptote subject Category:Analytic_geometry.
- Asymptote subject Category:Mathematical_analysis.
- Asymptote comment "In analytic geometry, an asymptote (/ˈæsɪmptoʊt/) 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.".
- Asymptote label "Asintoto".
- Asymptote label "Assintota".
- Asymptote label "Asymptoot".
- Asymptote label "Asymptota".
- Asymptote label "Asymptote".
- Asymptote label "Asymptote".
- Asymptote label "Asymptote".
- Asymptote label "Asíntota".
- Asymptote label "Асимптота".
- Asymptote label "خط مقارب".
- Asymptote label "渐近线".
- Asymptote label "漸近線".
- Asymptote sameAs Asymptota.
- Asymptote sameAs Asymptote.
- Asymptote sameAs Asíntota.
- Asymptote sameAs Asintota.
- Asymptote sameAs Asymptote.
- Asymptote sameAs Asintoto.
- Asymptote sameAs 漸近線.
- Asymptote sameAs 점근선.
- Asymptote sameAs Asymptoot.
- Asymptote sameAs Asymptota.
- Asymptote sameAs Assintota.
- Asymptote sameAs m.013p9.
- Asymptote sameAs Q179436.
- Asymptote sameAs Q179436.
- Asymptote wasDerivedFrom Asymptote?oldid=603292533.
- Asymptote depiction 1-over-x-plus-x_abs.svg.
- Asymptote isPrimaryTopicOf Asymptote.