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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
Space curve Space curve:

r = t
phi = t
z = t

in cylindrical coordinate system
 
  • curve arc
  • curve curvature
  • curve torsion
  • tangent vector field
  • normal vector field
  • binormal vector field

Solution
Space curve StartRun atlas 2D/3D Wizard and press NEXT button
Space curve Dimension 2D/3DChoose  3D - space and press NEXT button
Space curve Coordinate SystemSelect cylindrical coordinate system and press NEXT button
Space curve Curve or SurfaceSelect curve and press NEXT button
Space curve Enter EquationsEnter the curve equations and press NEXT button (t is the parameter)
Space curve Final Check-OutPress Check-Out button or just skip this step and press NEXT button
Space curve Save as WorksheetSpecify a worksheet to save the Maple™ code (output.mws by default).
Space 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, curve torsion, tangent vector field, normal vector field and binormal vector field.
It takes 40 seconds to solve this problem from the beginning to the end! Just try it.