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Fundamental theorem of curves
(section)
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==Use== A curve can be described, and thereby defined, by a pair of [[scalar field]]s: curvature <math>\kappa</math> and torsion <math>\tau</math>, both of which depend on some parameter which [[parametric equation|parametrizes]] the curve but which can ideally be the [[arc length]] of the curve. From just the curvature and torsion, the [[vector field]]s for the tangent, normal, and binormal vectors can be derived using the [[Frenet–Serret formulas]]. Then, [[Integral|integration]] of the tangent field (done numerically, if not analytically) yields the curve.
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