Review article

https://doi.org/10.31896/k.25.9

Asymptotes of Plane Curves - Revisited

Ana Katalenić orcid.org/0000-0001-9857-5758 ; Faculty of Education, University of Osijek, Osijek, Hrvatska
Aleksandra Čižmešija ; Faculty of Science, University of Zagreb, Zagreb, Croatia
Željka Milin Šipuš orcid.org/0000-0002-0726-3335 ; Faculty of Science, University of Zagreb, Zagreb, Croatia

Abstract

In this paper we present a review of the basic ideas and results concerning asymptotic lines of plane curves. We discuss their different definitions, namely that of a limiting position of tangent lines, of the tangent line at infinity, and finally the one that requires that the distance between points of a curve and asymptotic line tends to 0 as the point moves along an infinite branch of the curve. We also recall the method of determining asymptotes of algebraic curves from the leading coefficients in their equation and provide examples.

Keywords

plane curve; asymptote; limiting tangent line; tangent at infinity

Hrčak ID:

269244

URI

https://hrcak.srce.hr/269244

Publication date:

27.12.2021.

Article data in other languages: croatian

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