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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 face diagonal ： ウィキペディア英語版 face diagonal In geometry, a face diagonal of a polyhedron is a diagonal on one of the faces, in contrast to a space diagonal passing through the interior of the polyhedron.〔.〕 A cuboid has twelve face diagonals (two on each of the six faces), and it has four space diagonals.〔.〕 The cuboid's face diagonals can have up to three different lengths, since the faces come in congruent pairs and the two diagonals on any face are equal. The cuboid's space diagonals all have the same length. If the edge lengths of a cuboid are ''a'', ''b'', and ''c'', then the distinct rectangular faces have edges (''a'', ''b''), (''a'', ''c''), and (''b'', ''c''); so the respective face diagonals have lengths $\backslash sqrt,$ $\backslash sqrt,$, and $\backslash sqrt.$ Thus each face diagonal of a cube with side length ''a'' is $a\backslash sqrt\; 2$.〔.〕 A regular dodecahedron has 60 face diagonals (and 100 space diagonals).〔.〕 ==References== 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「face diagonal」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.