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atlas™ - modern differential geometry for Maple™

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Features List & Examples  |  Introduction  |  Dimension  |  Indexing  |  Forms  |  Metric  |  atlasWizard - Maplet™

Given
 Calculate
Plane curve Plane curve:

r = a*sin(3*t)
phi = t

in polar coordinate system
 
  • curve arc
  • curve curvature
  • tangent vector field
  • normal vector field

 


Solution
Plane curve StartRun atlas 2D/3D Wizard and press NEXT button
Plane curve Dimension 2D/3DChoose  2D - space and press NEXT button
Plane curve Coordinate SystemSelect polar coordinate system and press NEXT button
Plane curve Curve or SurfaceSelect curve and press NEXT button
Plane curve Enter EquationsEnter the curve equations and press NEXT button (t is the parameter)
Plane curve Final Check-OutPress Check-Out button or just skip this step and press NEXT button
Plane curve Save as WorksheetSpecify a worksheet to save the Maple™ code (output.mws by default).
Plane curve FinishPress FINISH button and execute in Maple™ the generated file

Result of the execution

You will see the results of the execution in the worksheet: curve arc, curve curvature, tangent vector field and normal vector field. It takes 35 seconds to solve this problem from the beginning to the end! Just try it.