AREA OF TRIANGLES ASSOCIATED WITH A CURVE

被引：10

作者：

Kim, Dong-Soo ^{[1
]}

Shim, Kyu-Chul ^{[1
]}

机构：

[1] Chonnam Natl Univ, Dept Math, Kwangju 500757, South Korea

来源：

BULLETIN OF THE KOREAN MATHEMATICAL SOCIETY | 2014年 / 51卷 / 03期

基金：

新加坡国家研究基金会;

关键词：

triangle; area; parabola; strictly convex curve; plane curvature; SPHERES;

D O I：

10.4134/BKMS.2014.51.3.901

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

It is well known that the area U of the triangle formed by three tangents to a parabola X is half of the area T of the triangle formed by joining their points of contact. In this article, we study some properties of U and T for strictly convex plane curves. As a result, we establish a characterization for parabolas.

引用

页码：901 / 909

页数：9

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