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
收藏
页码：901 / 909
页数：9
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