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non-continguous ParametricPlot?

Hi All,
  Is it in some way possible to define a non-continguous
  Parametric Plot, one that consist of several lines that
  are not connected to each other: to skip over regions were
  the relation is not defined, without a meaningless line connecting
  the meaningful lines.  I don't like to define a separate line
  with its own name for different parts of the same relation.

                             Thanks for all and any help!

  .-. || Drs. Rita Bijlsma                 tel: +31-15-2787109
 /   \|| IRI dept of Radiation Physics     fax: +31-15-2786422
 |   ||| Delft University of Technology  email: rita at     
 |   |||_The Netherlands ______________

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