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Scissors Congruence for Certain k-polygons
https://tokushima-u.repo.nii.ac.jp/records/2002059
https://tokushima-u.repo.nii.ac.jp/records/2002059489246a2-6bf5-40b1-9fe1-433cd5f9755f
| 名前 / ファイル | ライセンス | アクション |
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LID201303051005.pdf (121 KB)
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| Item type | 文献 / Documents(1) | |||||||||||
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| 公開日 | 2013-03-05 | |||||||||||
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| アクセス権 | open access | |||||||||||
| 資源タイプ | ||||||||||||
| 資源タイプ識別子 | http://purl.org/coar/resource_type/c_6501 | |||||||||||
| 資源タイプ | departmental bulletin paper | |||||||||||
| 出版タイプ | ||||||||||||
| 出版タイプ | VoR | |||||||||||
| 出版タイプResource | http://purl.org/coar/version/c_970fb48d4fbd8a85 | |||||||||||
| タイトル | ||||||||||||
| タイトル | Scissors Congruence for Certain k-polygons | |||||||||||
| 著者 |
片山, 真一
× 片山, 真一
WEKO
1028
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| 抄録 | ||||||||||||
| 内容記述 | 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; : : : ; Pn1}. 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 |
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| 書誌情報 |
en : Journal of mathematics, the University of Tokushima 巻 46, p. 1-12, 発行日 2012-09 |
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| 収録物識別子タイプ | ISSN | |||||||||||
| 収録物識別子 | 13467387 | |||||||||||
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| 収録物識別子タイプ | NCID | |||||||||||
| 収録物識別子 | AA11595324 | |||||||||||
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| 識別子 | 268921 | |||||||||||
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| 言語 | eng | |||||||||||
