ID 104983
著者
片山, 真一 Department of Mathematical Sciences, Faculty of Integrated Arts and Sciences The University of Tokushima 徳島大学 教育研究者総覧 KAKEN研究者をさがす
資料タイプ
紀要論文
抄録
It has been proved that any two polygons having the same area are scissors congruent by Bolyai in 1832 and by Gerwien in 1833, respectively. It is well known that the concepts of congruence and scissors congruence are different for the set of polygons in the Euclidean plane. Let C be a unit circle divided into n parts equally. We denote the set of ends of these parts on C by S = {P0; P1; : : : ; Pn􀀀1}. Let }k(n) be the set of all k-polygons inscribed in C, where the vertices are taken from S. In this paper, we shall investigate the relations of the concepts of congruence and scissors congruence in this special set of k-polygons }k(n).

2010 Mathematics Subject Classification. Primary10A45; Secondary 52B45
掲載誌名
Journal of mathematics, the University of Tokushima
ISSN
13467387
cat書誌ID
AA11595324
46
開始ページ
1
終了ページ
12
並び順
1
発行日
2012-09
EDB ID
268921
フルテキストファイル
言語
eng
部局
理工学系