OBSOLETE VECTOR ANALYSIS 程序包 符号

# ArcLengthFactor

As of version 9.0, vector analysis functionality is built into Mathematica

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.

## 更多信息更多信息

• 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 .

## 范例范例打开所有单元关闭所有单元

### 基本范例 (1)基本范例 (1)

Find the arc length factor of a helix:

 Out[3]=
 Out[4]=

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

 Out[5]=

## 教程教程

New to Mathematica? Find your learning path »
Have a question? Ask support »