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You can also force the quality of the graphics to be 'good' while you drag it by using the PerformanceGoal option. Please read the help-file for this command. Here is an example: As you drag the slider it will only show fully rendered graphics. While...
The warning message is ParametricPlot::plln: Limiting value Sqrt[1-1]/Sqrt[2]  in  {r, 0, Sqrt[1-1]/Sqrt[2]} is not a machine-sized real number.  The second 1 in 1-1 is wrapped in dynamic and formatting functions.