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Tangent developable : ウィキペディア英語版
Tangent developable

The tangent developable of a space curve \gamma(t) is a developable surface formed by the union of the tangent lines to the curve.
==Parameterization==
Let \gamma(t) be a parameterization of a smooth space curve. That is, \gamma is a twice-differentiable function with nowhere-vanishing derivative that maps its argument t (a real number) to a point in space; the curve is the image of \gamma. Then a two-dimensional surface, the tangent developable of \gamma, may be parameterized by the map
:(s,t)\mapsto \gamma(t) + s\gamma'(t).〔.〕
The original curve forms a boundary of the tangent developable, and is called its directrix.

抄文引用元・出典: フリー百科事典『 ウィキペディア(Wikipedia)
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