与平面凸集几何量有关的不等式

摘要

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.%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.