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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 Schoch line ： ウィキペディア英語版 Schoch line In geometry, the Schoch line is a line defined from an arbelos and named by Peter Woo after Thomas Schoch, who had studied it in conjunction with the Schoch circles. == Construction == An arbelos is a shape bounded by three mutually-tangent semicircular arcs with collinear endpoints, with the two smaller arcs nested inside the larger one; let the endpoints of these three arcs be (in order along the line containing them) ''A'', ''B'', and ''C''. Let ''K''1 and ''K''2 be two more arcs, centered at ''A'' and ''C'', respectively, with radii ''AB'' and ''CB'', so that these two arcs are tangent at ''B''; let ''K''3 be the largest of the three arcs of the arbelos. A circle, with the center ''A''1, is then created tangent to the arcs ''K''1,''K''2, and ''K''3. This circle is congruent with Archimedes' twin circles, making it an Archimedean circle; it is one of the Schoch circles. The Schoch line is perpendicular to the line ''AC'' and passes through the point ''A''1. It is also the location of the centers of infinitely many Archimedean circles, e.g. the Woo circles.〔.〕 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「Schoch line」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.