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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 Casey's theorem ： ウィキペディア英語版 Casey's theorem In mathematics, Casey's theorem, also known as the generalized Ptolemy's theorem, is a theorem in Euclidean geometry named after the Irish mathematician John Casey. == Formulation of the theorem== Let $\backslash ,O$ be a circle of radius $\backslash ,R$. Let $\backslash ,O\_1,\; O\_2,\; O\_3,\; O\_4$ be (in that order) four non-intersecting circles that lie inside $\backslash ,O$ and tangent to it. Denote by $\backslash ,t\_$ the length of the exterior common bitangent of the circles $\backslash ,O\_i,\; O\_j$. Then:〔 :$\backslash ,t\_\; \backslash cdot\; t\_+t\_\; \backslash cdot\; t\_=t\_\backslash cdot\; t\_.$ Note that in the degenerate case, where all four circles reduce to points, this is exactly Ptolemy's theorem. 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「Casey's theorem」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.