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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 Solution of triangles ： ウィキペディア英語版 Solution of triangles Solution of triangles () is the historical term for solving the main trigonometric problem of finding the characteristics of a triangle (angles and lengths of sides), when some of these are known. The triangle can be located on a plane or on a sphere. Applications requiring triangle solutions include geodesy, astronomy, construction, and navigation. == Solving plane triangles == A general form triangle has six main characteristics (see picture): three linear (side lengths $~a,b,c$) and three angular ($~\backslash alpha,\backslash beta,\backslash gamma$). The classical plane trigonometry problem is to specify three of the six characteristics and determine the other three. A triangle can be uniquely determined in this sense when given any of the following:〔(【引用サイトリンク】 title=Solving Triangles )〕〔(【引用サイトリンク】 title=Solving Triangles )〕 * Three sides (SSS) * Two sides and the included angle (SAS) * Two sides and an angle not included between them (SSA), if the side length adjacent to the angle is shorter than the other side length. * A side and the two angles adjacent to it (ASA) * A side, the angle opposite to it and an angle adjacent to it (AAS). * Three angles (AAA) on the sphere (but not in the plane). For all cases in the plane, at least one of the side lengths must be specified. If only the angles are given, the side lengths cannot be determined, because any similar triangle is a solution. 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「Solution of triangles」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.