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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' twin circles ： ウィキペディア英語版 Archimedes' twin circles In geometry, specifically in the study of the arbelos, the Archimedes' circles are two special circles associated with it. Specifically, let $A$, $B$, and $C$ be the three corners of the arbelos, with $B$ between $A$ and $C$. Let $H$ be the point where the larger semicircle intercepts the line perpendicular to the $AC$ through the point $B$. The segment $BH$ divides the arbelos in two parts. The Archimedes' circles are the two circles inscribed in these parts, each tangent to one of the two smaller semicircles, to the segment $BH$, and to the largest semicircle.〔 These circles are named after the Greek mathematician Archimedes, who defined them and showed that they are congruent, whatever the sizes of the semicircles $AB$ and $BC$. This is proposition 5 of his ''Book of Lemmas''.〔 The circles are also known as the Archimedean circles, Archimedean twins, or other similar names.〔 ==Construction== Each of the two circles is uniquely determined by its three tangencies. Constructing it is a special case of the Problem of Apollonius. 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' twin circles」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.