2026-03-10T18:43:39Z https://tokushima-u.repo.nii.ac.jp/oai

oai:tokushima-u.repo.nii.ac.jp:02002059 2025-04-28T08:02:24Z 1713829974766:1713854679917:1716360603213 1713853213384:1713853297799

Scissors Congruence for Certain k-polygons 70194777 片山, 真一 カタヤマ, シンイチ Katayama, Shin-ichi 片山 カタヤマ Katayama 真一 シンイチ Shin-ichi open access 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 2012-09 eng departmental bulletin paper VoR 268921 https://tokushima-u.repo.nii.ac.jp/records/2002059 13467387 AA11595324 Journal of mathematics, the University of Tokushima 46 1 12 https://tokushima-u.repo.nii.ac.jp/record/2002059/files/LID201303051005.pdf application/pdf 121 KB 2013-03-05