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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: : 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 : The image on the right shows how the coplanar lines generate the right conoid. Other right conoids include: *Helicoid: *Whitney umbrella: *Wallis’s conical edge: *Plücker’s conoid: *hyperbolic paraboloid: (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
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