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A CHARACTERIZATION OF PARABOLA
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 Title & Authors
A CHARACTERIZATION OF PARABOLA
Yu, Yanhua; Liu, Huili;
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 Abstract
In this paper, the parabola will be characterized as the plane curve whose curvature function and support function satisfy a condition, where we define the support function as the distance from origin to the tangent line.
 Keywords
parabola;curvature function;support function;
 Language
English
 Cited by
1.
A CHARACTERIZATION OF CONIC SECTIONS,;;

호남수학학술지, 2011. vol.33. 3, pp.335-340 crossref(new window)
2.
SOME EQUIVALENT CONDITIONS FOR CONIC SECTIONS,;;;;;;;

한국수학교육학회지시리즈B:순수및응용수학, 2012. vol.19. 4, pp.315-325 crossref(new window)
3.
Some Characterizations of Parabolas,;;;

Kyungpook mathematical journal, 2013. vol.53. 1, pp.99-104 crossref(new window)
1.
SOME EQUIVALENT CONDITIONS FOR CONIC SECTIONS, The Pure and Applied Mathematics, 2012, 19, 4, 315  crossref(new windwow)
2.
Some Characterizations of Parabolas, Kyungpook mathematical journal, 2013, 53, 1, 99  crossref(new windwow)
3.
A CHARACTERIZATION OF CONIC SECTIONS, Honam Mathematical Journal, 2011, 33, 3, 335  crossref(new windwow)
 References
1.
M. P. Do Carmo, Differential Geometry of Curves and Surfaces, Prentice-Hall, New Jerse, 1976

2.
D.-S. Kim and Y. H. Kim, A characterization of ellipses, Amer. Math. Monthly 114 (2007), no. 1, 66-70 crossref(new window)