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Definition of "Curve"

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• "Curve" is defined as a function :
  
  [0,1] �� a space
  [0,1[ �� a space
  ]0,1[ �� a space
  
  
• In particular, a plane curve is a function :
  
  [0,1] �� a plane
  [0,1[ �� a plane
  ]0,1[ �� a plane