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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 Prismatoid ： ウィキペディア英語版 Prismatoid In geometry, a prismatoid is a polyhedron where all vertices lie in two parallel planes. Its lateral faces can be trapezoids or triangles.〔William F. Kern, James R Bland,''Solid Mensuration with proofs'', 1938, p.75〕 If both planes have the same number of vertices, and the lateral faces are either parallelograms or trapezoids, it is called a prismoid. == Area== If the areas of the two parallel faces are A1 and A3, the cross-sectional area of the intersection of the prismatoid with a plane midway between the two parallel faces is A2, and the height (the distance between the two parallel faces) is h, then the volume of the prismatoid is given by $V\; =\; \backslash frac$ or $V\; =\; \backslash frac$(This formula follows immediately by integrating the area parallel to the two planes of vertices by Simpson's rule, since that rule is exact for integration of polynomials of degree up to 3, and in this case the area is at most a quadratic function in the height.) 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「Prismatoid」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.