【摘要】 <正> n 度欧几里德空间裹两个平行超平面所夹的部份叫做一根条子,这两个超平面的距离叫做这条子的阔。一个区域,如果经过它的每一个边界点一定可以做一个超平而使这个区域全在这超平面的一边的话 就叫做一个凸区域,一个凸区域在某一个方向的最长的弦长度叫做它在这方向的活,各方向的阔当中最小的叫更多还原

【Abstract】 Having succeeded in solving Taiski’s“plank problem”,T.Bang re-marked at the end of his note[1],that the following deeper problem was stillunsolved:Whether is the sum of the relative widths of the strips alwaysgreater than or equal to 1,when a convex body in n-dimensional Euclideanspace,is entirely covered by these strips,where by a strip of width h wemean the part of space lying between two parallel hyperplanes whose dis-tance is h,while by the relative width of a strip we mean the ratio of itswidth with the width in the same direction of the covered convex body?We give here an affirmative answer to this problem.更多还原