APPROXIMATION OF CONVEX-BODIES BY TRIANGLES

被引:1
作者
LASSAK, M
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中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
We show that for every plane convex body C there exist a triangle T1 and its image T2 under a homothety with ratio 5/2 such that T1 subset-of C subset-of T2. We prove the conjecture of Grunbaum that if C is centrally symmetric, then T1, T2 can be chosen so that their centroids coincide with the center of C.
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页码:207 / 210
页数:4
相关论文
共 5 条
[1]  
ASPLUND E., 1960, MATH SCAND, V8, P171, DOI DOI 10.7146/MATH.SCAND.A-10606
[2]  
BESICOVITCH AS, 1945, J LOND MATH SOC, V23, P237
[3]  
Eggleston H. G., 1969, CONVEXITY
[4]  
Grnbaum B, 1963, P S PURE MATHEMATICS, P233
[5]  
LASSAK M, 1989, J LOND MATH SOC, V40, P369