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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 Brahmagupta's formula ： ウィキペディア英語版 Brahmagupta's formula In Euclidean geometry, Brahmagupta's formula finds the area of any cyclic quadrilateral (one that can be inscribed in a circle) given the lengths of the sides. == Formula == Brahmagupta's formula gives the area ''K'' of a cyclic quadrilateral whose sides have lengths ''a'', ''b'', ''c'', ''d'' as : $K=\backslash sqrt$ where ''s'', the semiperimeter, is defined to be : $s=\backslash frac.$ This formula generalizes Heron's formula for the area of a triangle. A triangle may be regarded as a quadrilateral with one side of length zero. From this perspective, as d approaches zero, a cyclic quadrilateral converges into a cyclic triangle (all triangles are cyclic), and Brahmagupta's formula simplifies to Heron's formula. If the semiperimeter is not used, Brahmagupta's formula is : $K=\backslash frac\backslash sqrt.$ Another equivalent version is : $K=\backslash frac\backslash cdot$ 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「Brahmagupta's formula」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.