atlas 2 for Mathematica®

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Atlas Tutorial

Plane curves in Atlas 2D/3D Wizard

This tutorial illustrates how to use the Atlas 2D/3D Wizard package to solve problems in elementary differential geometry.

What we give?

Plane curve in Polar coordinate system:
r = a*Sin[3*t]
= t

What we do?

We calculate curve arc and curve curvature .
We also obtain the Tangent vector field and Normal vector field.
  • Run atlas 2D/3D Wizard and press NEXT button
  • Choose  2D - space and press NEXT button
  • Select POLAR coordinate system and press NEXT button
  • Select CURVE and press NEXT button
  • Enter the curve equations and press NEXT button (t is the parameter)
  • Press Check-Out button or just skip this step and press NEXT button
  • Specify a worksheet to save the Mathematica® code (output.mws by default).
  • Press FINISH button and execute in Mathematica® the generated file
You will see the results of the execution in the worksheet: curve arc, curve curvature, tangent vector field and normal vector field.
It takes 1 minute to solve this problem from the beginning to the end! Just try it.