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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 Lami's theorem ： ウィキペディア英語版 Lami's theorem In statics, Lami's theorem is an equation relating the magnitudes of three coplanar, concurrent and non-collinear forces, which keeps an object in static equilibrium, with the angles directly opposite to the corresponding forces. According to the theorem, $\backslash frac=\backslash frac=\backslash frac$ :where ''A'', ''B'' and ''C'' are the magnitudes of three coplanar, concurrent and non-collinear forces, which keep the object in static equilibrium, and :''α'', ''β'' and ''γ'' are the angles directly opposite to the forces ''A'', ''B'' and ''C'' respectively. :alt=Lami's Theorem Lami's theorem is applied in static analysis of mechanical and structural systems. The theorem is named after Bernard Lamy. ==Proof of Lami's Theorem== Suppose there are three coplanar, concurrent and non-collinear forces, which keeps the object in static equilibrium. By the triangle law, we can ure-construct the diagram as follow: :File:LamiProof.png By the law of sines, :$\backslash frac=\backslash frac=\backslash frac$ :$\backslash Rightarrow\; \backslash frac=\backslash frac=\backslash frac$ 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「Lami'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.