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翻訳と辞書　辞書検索 [ 開発暫定版 ] スポンサード リンク Poncelet–Steiner theorem ： ウィキペディア英語版 Poncelet–Steiner theorem In Euclidean geometry, the Poncelet–Steiner theorem concerning compass and straightedge constructions states that whatever can be constructed by straightedge and compass together can be constructed by straightedge alone, provided that a single circle and its centre are given. This result can not be weakened; if the centre of the circle is not given, it cannot be constructed by a straightedge alone. Also, the entire circle is not required. In 1904, Francesco Severi proved that any small arc together with the centre will suffice. The result was conjectured by Jean Victor Poncelet in 1822, and proven by Jakob Steiner in 1833.〔 〕 == See also == * Mohr–Mascheroni theorem, the theorem that any compass and straightedge construction can be performed with only a compass 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「Poncelet–Steiner theorem」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.