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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 Cramer–Castillon problem ： ウィキペディア英語版 Cramer–Castillon problem In geometry, the Cramer–Castillon problem is a problem stated by the Swiss mathematician Gabriel Cramer solved by the italian mathematician, resident in Berlin, Jean de Castillon in 1776.〔, page 1.〕 The problem consists of (see the image): Given a circle $Z$ and three points $A,\; B,\; C$ in the same plane and not on $Z$, to construct every possible triangle inscribed in $Z$ whose sides (or their elongations) pass through $A,\; B,\; C$ respectively. Centuries before, Pappus of Alexandria had solved a special case: when the three points are collinear. But the general case had the reputation of being very difficult.〔, page 59.〕 After the geometrical construction of Castillon, Lagrange found an analytic solution, easier than Castillon's. In the beginning of the 19th century, Lazare Carnot generalized it to $n$ points.〔, page 176.〕 ==References== 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「Cramer–Castillon problem」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.