Planar Sections of Three-Dimensional Cylinders

被引：0
|
作者：
Makeev, V. V. [1 ]
机构：
[1] St Petersburg State Univ, Univ Skaya Nab 7-9, St Petersburg 199034, Russia
来源：
VESTNIK ST PETERSBURG UNIVERSITY-MATHEMATICS | 2016年 / 49卷 / 04期
关键词：
cylinder; section; regular hexagon and octagon;
D O I：
10.3103/S1063454116040099
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
Is it true that every interior point of a three-dimensional convex body lies on its planar section with an inscribed regular hexagon and the center of a centrally symmetric convex body lies on a planar section with an inscribed regular octagon? In this paper, we prove these propositions for cylinders of a special type.
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页码：359 / 360
页数：2
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