APPROXIMATION OF CONVEX-BODIES BY RECTANGLES

被引:20
作者
LASSAK, M [1 ]
机构
[1] ACAD TECHNOL & AGR BYDGOSZCZ,INST MATH & PHYS,PL-85790 BYDGOSZCZ,POLAND
关键词
D O I
10.1007/BF01263495
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
For every plane convex body there is a pair of inscribed and circumscribed homothetic rectangles. The positive ratio of homothety is not greater than 2.
引用
收藏
页码:111 / 117
页数:7
相关论文
共 11 条
[1]  
ASPLUND E, 1960, MATH SCAND, V7, P171
[2]   SOME INTERSECTION PROPERTIES OF CONVEX BODIES [J].
CHAKERIA.GD ;
STEIN, SK .
PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 1967, 18 (01) :109-&
[3]  
Eggleston H. G., 1969, CONVEXITY
[4]  
Grnbaum B, 1963, P S PURE MATHEMATICS, P233
[5]  
HADWIGER H, 1955, ELEM MATH, V10, P122
[6]  
John F., 1948, STUDIES ESSAYS PRESE, P187, DOI DOI 10.1007/978-3-0348-0439-4_9
[7]  
Kosiski A., 1957, C MATH, V4, P216
[8]  
LASSAK M, 1989, J LOND MATH SOC, V40, P369
[9]  
Lassak M., 1991, B POLISH ACAD SCI MA, V39, P219
[10]  
Polya G., 1951, ANN MATH STUD, V27