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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 Calabi triangle ： ウィキペディア英語版 Calabi triangle The Calabi triangle is a special triangle found by Eugenio Calabi. Consider the largest square that can be placed in an arbitrary triangle. It may be that such a square could be positioned in the triangle in more than one way. If the largest such square can be positioned in three different ways, then the triangle is either an equilateral triangle or the Calabi triangle.〔(Calabi's triangle at Mathworld )〕 The Calabi triangle is isosceles. The ratio of the base to either leg is : $x\; =\; +\; \backslash over\; 3\; \backslash cdot\; 2^\}\; +\; \}$ which approximates to 1.55138752454. It is the largest positive root of : $2x^3\; -\; 2x^2\; -3x\; +\; 2\; =\; 0$ and has continued fraction representation (1, 1, 4, 2, 1, 2, 1, 5, 2, 1, 3, 1, 1, 390, ... ).〔 The Calabi triangle is obtuse with base angles 39.1320261...° and third angle 101.7359477...°. == See also == *Biggest Little Polygon 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「Calabi triangle」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.