Asymptotes of Plane Curves - Revisited (CROSBI ID 303364)
Prilog u časopisu | izvorni znanstveni rad | međunarodna recenzija
Podaci o odgovornosti
Katalenić, Ana ; Čižmešija, Aleksandra ; Milin Šipuš, Željka
engleski
Asymptotes of Plane Curves - Revisited
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.
plane curve ; asymptote ; limiting tangent line ; tangent at infinity
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Podaci o izdanju
25 (25)
2021.
78-86
objavljeno
1331-1611
1846-4068
10.31896/k.25.9