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 have?

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:
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Choose 2D- plane and press NEXT button:
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Select Polar coordinate system and press NEXT button:
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Select CURVE and press NEXT button:
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Enter the curve equations and press NEXT button (t is the parameter):
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Press Check-Out button or just skip this step and press NEXT button:
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Specify a notebook to save the Mathematica code (Output.nb by default):
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Press FINISH button and execute in Mathematica the generated file:
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You will see the results of the execution in the notebook: 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.