| 翻訳と辞書 |
| square trisection ： ウィキペディア英語版 |
square trisection
In geometry, a square trisection consists of cutting a square into pieces that can be rearranged to form three identical squares.
== Problem History ==
The dissection of a square in three congruent partitions is a geometrical problem that dates back to the Islamic Golden Age. Craftsman who mastered the art of zellige need innovative techniques to achieve their fabulous mosaics with complex geometric figures. Thus, the first solution to this problem has been proposed in the 10th century AD by the Persian mathematician Abu'l-Wafa' (940-998) in his treatise ''"On the geometric constructions necessary for the artisan"''.〔Alpay Özdural (1995). ''Omar Khayyam, Mathematicians, and “conversazioni” with Artisans.'' Journal of the Society of Architectural (Vol. 54, No. 1, Mar., 1995 )〕 Abu'l-Wafa' used also his dissection to demonstrate the Pythagoras' theorem.〔Reza Sarhangi, Slavik Jablan (2006). ''Elementary Constructions of Persian Mosaics.'' Towson University and The Mathematical Institute. (online )〕 This geometrical proof of Pythagoras' theorem will be rediscovered in the years 1835 - 1840 〔See appendix of L. J. Rogers (1897). ''Biography of Henry Perigal: On certain Regular Polygons in Modular Network''. Proceedings London Mathematical Society. (Volume s1-29, Appendix pp. 732-735. )〕 by Henry Perigal and published in 1875.〔Henry Perigal (1875). ''On Geometric Dissections and Transformations'', Messenger of Mathematics, (No 19, 1875 ).〕
抄文引用元・出典: フリー百科事典『 ウィキペディア（Wikipedia）』
■ウィキペディアで「square trisection」の詳細全文を読む
スポンサード リンク
| 翻訳と辞書 : 翻訳のためのインターネットリソース |
Copyright(C) kotoba.ne.jp 1997-2016. All Rights Reserved.
|
|