ArcLengthFactor

As of Version 9.0, vector analysis functionality is built into the Wolfram Language


gives the derivative of the arc length of the curve described by the parametrized curve coordinates with respect to the parameter t in the default coordinate system.


gives the derivative of the arc length of a curve in the coordinate system coordsys.

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  • To use , you first need to load the Vector Analysis Package using Needs["VectorAnalysis`"].
  • The parametrized curve coordinates should be given in coordsys, if specified, or the default coordinate system otherwise.
  • If the parametrized curve coordinates are not given, the default coordinate variables for coordsys are used.
  • Integrate[ArcLengthFactor[{f1,f2,f3},t],{t,t1,t2}] gives the length of the arc described by from to .

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基本范例  (1)基本范例  (1)

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Find the arc length factor of a helix:

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Compute the arc length of the helix from t=0 to t=20:

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