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Math Help - plot3d mathematica 7

  1. #1
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    plot3d mathematica 7

    hi,
    i have two quistions
    1. how to draw graph by using Plot3D for "x^2+y^2=z^2"
    2. in Plot3d how to change the Symmetry axis in the graph, in x^2+y^2=z^2 by changing the Symmetry axis to y.
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  2. #2
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    Quote Originally Posted by acied View Post
    hi,
    i have two quistions
    1. how to draw graph by using Plot3D for "x^2+y^2=z^2"
    2. in Plot3d how to change the Symmetry axis in the graph, in x^2+y^2=z^2 by changing the Symmetry axis to y.
    1.

    My experience has been that it's hard to plot non-functions in Mathematica. So my approach would be:

    Code:
    Line 1: f[x_, y_] := Sqrt[x^2 + y^2]
    Line 2: Plot3D[{f[x, y], -f[x, y]}, {x, -10, 10}, {y, -10, 10}]
    2.

    I don't know what you mean by this.
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  3. #3
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    Clarification for 2

    thanks alot for your help

    in the x^2+y^2=z^2 the Symmetry axis is Z axis, and i have to change it to another Coordinate axis, like y or x
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  4. #4
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    Quote Originally Posted by acied View Post
    thanks alot for your help

    in the x^2+y^2=z^2 the Symmetry axis is Z axis, and i have to change it to another Coordinate axis, like y or x
    I guess you mean plane of symmetry is z = 0, and you want to change it to y = 0.

    First of all, x^2+y^2=z^2 is already symmetric about the plane y = 0.

    Second, if you want to rotate the graph, couldn't you just write x^2 + z^2 = y^2?
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  5. #5
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    thanks i will try your Suggestion, but it will not rotate, its shows the same graph
    Last edited by acied; May 25th 2010 at 07:27 AM.
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  6. #6
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    Quote Originally Posted by acied View Post
    thanks i will try your Suggestion
    Sorry, I just realized there is a special rotational symmetry about the z-axis, and no need to interpret with planes. If you want to change this to the y-axis then x^2+z^2=y^2 should be it.
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  7. #7
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    its shows the same graph without rotating
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  8. #8
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    Quote Originally Posted by acied View Post
    its shows the same graph without rotating
    You probably didn't type it in properly. You have to solve for z.

    Code:
    Line 1: f[x_, y_] := Sqrt[y^2 - x^2]
    Line 2: Plot3D[{f[x, y], -f[x, y]}, {x, -10, 10}, {y, -10, 10}]
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  9. #9
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    thankssssssssssssssssssssss
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