摘要
本文研究了平面凸集几何量之间的关系.通过定义新几何量:平面凸集的最大内接正三角形T和最大内接正方形S,分别获得了T(S)的边长、凸集的直径和面积之间的关系式.
In this paper,we study the relation among the geometric quantities of planar convex sets.By using two new geometric quantities for planar convex set：the maximum equilateral triangle T and the maximum square S contained,we obtain the inequalities among the length of T （S respectively）,the diameter and the area.
出处
《数学杂志》
CSCD
北大核心
2011年第5期861-864,共4页
Journal of Mathematics
基金
Supported by Hubei Province Key Laboratory of System Science in Metallurgical Process (A201001)
关键词
凸集
正三角形
正方形
直径
面积
convex set
equilateral triangle
square
diameter
area
