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http://dx.doi.org/10.4134/BKMS.2008.45.4.631

A CHARACTERIZATION OF PARABOLA  

Yu, Yanhua (DEPARTMENT OF MATHEMATICS NORTHEASTERN UNIVERSITY)
Liu, Huili (DEPARTMENT OF MATHEMATICS NORTHEASTERN UNIVERSITY)
Publication Information
Bulletin of the Korean Mathematical Society / v.45, no.4, 2008 , pp. 631-634 More about this Journal
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;
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연도 인용수 순위
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   DOI