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Re: Graphics << Implicit vs ContourPlot


Ahh, and when you want no ticks on the axes, then say Ticks->False

Cheers
Patrick



On Wed, 2011-11-09 at 06:24 -0500, John Accardi wrote:
> Goal: Show students a plot of both an ellipse with x axis as ellipse's 
> transverse axis
> and the same ellipse in an x'y' coordinate plane that is rotated some angle
> with respect the the original xy coordinate plane.  (All in one plot)
> 
> I used:
> 
> << Graphics`ImplicitPlot`; ImplicitPlot[{7 x^2 - 6 Sqrt[3] x y +
>      13 y^2 - 16 == 0, ((x^2)/2^2) + ((y^2)/2^2) == 1, y == x,
>    y == -x}, {x, -3, 3}, AspectRatio -> 1.25]
> 
> which works well but I had to hard fix the axis of rotation at 45 degrees
> and plot it (y == x and y == -x).  I also get an obsolete warning and
> the suggestion to use the new ContourPlot for this in the future:
> 
> General::obspkg: "\!\(\"Graphics`ImplicitPlot`\"\) is now obsolete.
> The legacy version being loaded may conflict with current Mathematica
> functionality. See the Compatibility Guide for updating information."
> 
> So I try to accomplish the same graph with ContourPlot:
> 
> ContourPlot[{7 x^2 - 6 Sqrt[3] x y + 13 y^2 - 16 ==
>     0, ((x^2)/2^2) + ((y^2)/2^2) == 1, y == x, y == -x, y == 0,
>    x == 0}, {x, -3, 3}, {y, -3, 3}, AspectRatio -> 1.25]
> 
> which gets me close but I have lost traditional plotting of the xy axes
> (no tick marks).  Instead I get ContourPlots boxed style coordinate system.
> 
> Question: How can I get my old style axes back in the context of 
> ContourPlot?
> 
> Thank you for any insights.
> 





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