Naslov
Asymptotes of Plane Curves - Revisited

Autori
Katalenić, Ana ; Čižmešija, Aleksandra ; Milin Šipuš, Željka

Izvornik
KoG : znanstveno-stručni časopis Hrvatskog društva za konstruktivnu geometriju i kompjutorsku grafiku (1331-1611) 25 (2021), 25; 78-86

Vrsta, podvrsta i kategorija rada
Radovi u časopisima, članak, znanstveni

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

Sažetak
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.

Izvorni jezik
Engleski

Znanstvena područja
Matematika

POVEZANOST RADA