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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 right conoid ： ウィキペディア英語版 right conoid In geometry, a right conoid is a ruled surface generated by a family of straight lines that all intersect perpendicularly a fixed straight line, called the ''axis'' of the right conoid. Using a Cartesian coordinate system in three-dimensional space, if we take the z-axis to be the axis of a right conoid, then the right conoid can be represented by the parametric equations: :$x=v\backslash cos\; u,\; y=v\backslash sin\; u,\; z=h(u)\; \backslash ,$ where ''h''(''u'') is some function for representing the ''height'' of the moving line. ==Examples== A typical example of right conoids is given by the parametric equations : $x=v\backslash cos\; u,\; y=v\backslash sin\; u,\; z=2\backslash sin\; u\backslash ,$ The image on the right shows how the coplanar lines generate the right conoid. Other right conoids include: *Helicoid: $x=v\backslash cos\; u,\; y=v\backslash sin\; u,\; z=cu.\backslash ,$ *Whitney umbrella: $x=vu,\; y=v,\; z=u^2.\backslash ,$ *Wallis’s conical edge: $x=v\backslash cos\; u,\; y=v\; \backslash sin\; u,\; z=c\backslash sqrt.\backslash ,$ *Plücker’s conoid: $x=v\backslash cos\; u,\; y=v\backslash sin\; u,\; z=c\backslash sin\; nu.\backslash ,$ *hyperbolic paraboloid: $x=v,\; y=u,\; z=uv\backslash ,$ (with x-axis and y-axis as its axes). 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「right conoid」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.