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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 Archimedes' quadruplets ： ウィキペディア英語版 Archimedes' quadruplets In geometry, Archimedes' quadruplets are four congruent circles associated with an arbelos. Introduced by Frank Power in the summer of 1998, each have the same area as Archimedes' twin circles, making them Archimedean circles.〔 〕〔(Online catalogue of Archimedean circles )〕〔Clayton W. Dodge, Thomas Schoch, Peter Y. Woo, Paul Yiu (1999). "Those Ubiquitous Archimedean Circles". (PDF ).〕 ==Construction== An arbelos is formed from three collinear points ''A'', ''B'', and ''C'', by the three semicircles with diameters ''AB'', ''AC'', and ''BC''. Let the two smaller circles have radii ''r''1 and ''r''2, from which it follows that the larger semicircle has radius ''r'' = ''r''1+''r''2. Let the points ''D'' and ''E'' be the center and midpoint, respectively, of the semicircle with the radius ''r''1. Let ''H'' be the midpoint of line ''AC''. Then two of the four quadruplet circles are tangent to line ''HE'' at the point ''E'', and are also tangent to the outer semicircle. The other two quadruplet circles are formed in a symmetric way from the semicircle with radius ''r''2. 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「Archimedes' quadruplets」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.