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PlotPoints in plot


For the plot command  Plot[Sqrt[1-x^2],{x,-1,1},PlotPoints->3]
I expected to see a triangle joining 3 points on a circle, but a
continuous line ( default PlotPoints->20? )appears. However,
ParametricPlot3D[{Cos[t],Sin[t],0},{t,0,Pi},PlotPoints->3,ViewPoint->{0,0,5}]
gives a triangle. How to get a polygon of straight sides in the
unparametered Plot?


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