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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 Varignon's theorem (mechanics) ： ウィキペディア英語版 Varignon's theorem (mechanics) The Varignon Theorem is a theorem by French mathematician Pierre Varignon (1654-1722), published in 1687 in his book ''Projet d' unè nouvelle mèchanique''. The theorem states that the moment of a resultant of two concurrent forces about any point is equal to the algebraic sum of the moments of its components about the same point. In other words"if many coplanar forces are acting on a body then algebraic sum of moments of all the forces about a point in the plane of the forces is equal to the moment of their resultant about the same point〔(【引用サイトリンク】title=Engineering Mechanics: Statics )〕 == Proof == For a set ''n'' of vectors $\backslash boldsymbol\},\; ...,\; \backslash boldsymbol=\backslash sum\_\; \backslash boldsymbol\; \backslash boldsymbol\}\}\; =\; \backslash sum\; (\backslash boldsymbol-\backslash boldsymbol\; \}$ In terms of summary, taking out the common factor $(\backslash mathbf-\backslash mathbf\; \backslash boldsymbol\}\}\; =\; (\backslash boldsymbol-\backslash boldsymbol\; \backslash boldsymbol-\backslash boldsymbol\; =\; \backslash boldsymbol\}$ 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「Varignon's theorem (mechanics)」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.