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Problems with ImplicitPlot

  • To: mathgroup at christensen.cybernetics.net
  • Subject: [mg1235] Problems with ImplicitPlot
  • From: Mats Jirstrand <matsj at isy.liu.se>
  • Date: Fri, 26 May 1995 04:40:01 -0400

I have a problem with the function ImplicitPlot in the
Graphics package!

Why does Mathematica generate a plot of the unit circle
for the first of the below commands but not for the second?

ImplicitPlot[x^2+y^2-1==0, {x, -2, 2}]

ImplicitPlot[(x^2+y^2-1)^2==0, {x, -2, 2}]



I have also tried the ContourPlot function with the same result:

ContourPlot[x^2+y^2-1, {x, -2, 2},{y, -2, 2},
		Contours -> {0},
		ContourShading -> False]

Plots the unitcircle!


ContourPlot[(x^2+y^2-1)^2, {x, -2, 2},{y, -2, 2},
		Contours -> {0},
		ContourShading -> False]

An empty plot!


~~Mats



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