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Why does this work (displays the curve):

Graphics[Plot[Sin[x], {x, 0, Pi}]]

and this doesn't (no curve)

Graphics[Plot[Sin[a x], {x, 0, Pi}], {Slider[a, 0, 4]}]


I would like to work without Manipulate.

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It doesn't work for a few reasons:

  • The syntax for Slider is not correct. It should be Slider[a, {0, 4}]
  • The variable a needs to by Dynamic so that it is updated when you move the slider.
  • Slider is not a graphics primitive.

Additionally, you don't need the Graphics and it is a good idea to localize the dynamic variable using DynamicModule. I would suggest something like:

        Dynamic@Plot[Sin[a x], {x, 0, Pi}, PlotRange -> {All, {-1, 1}}], 
        Slider[Dynamic@a, {0, 4}]

enter image description here

You need to set PlotRange so that the figure doesn't jump around when you move the slider.

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Thanks for the correction notes to Edit. – Alel Jul 12 '12 at 18:51
And thanks for the suggested solution. The reason I THOUGHT I need graphics is that I need to find the mouse position using" MousePosition" in the graphics coordinates. But I might be worng. Not sure how to do it. – Alel Jul 12 '12 at 18:53
You probably also want to include a PlotRange option in Plot, because otherwise the x-axis jumps around as you move the slider (and the y-axis minimum and maximum change as well). – murray Jul 12 '12 at 20:35

You can make the slider to appear as part of the plot:

  Dynamic@Plot[Sin[a x], {x, 0, Pi}, PlotRange -> {{0, Pi}, {-1, 1}},Frame -> True],
  Panel@VerticalSlider[Dynamic[a], {1, 9}, ImageSize -> {15, 60}]
  }, All, 2, Alignment -> {.9, .8}]

enter image description here

And even develop something more elaborate like this:

  Dynamic@Plot[Sin[a x], {x, 0, Pi}, PlotRange -> {{0, Pi}, {-1, 1}}, 
    Frame -> True, PlotStyle -> Thick],
  Framed[Row[{Graphics[{}, PlotRange -> {{0, 1}, {1, 9}}, 
      Frame -> {{False, True}, {False, False}}, 
      FrameTicks -> {None, Range[9]}, ImageSize -> 20],
     VerticalSlider[Dynamic[a], {1, 9}, ImageSize -> {20, 95}, 
      Appearance -> "LeftArrow"]
     }], FrameMargins -> 0, 
   Background -> Directive[Black, Opacity[.2]], RoundingRadius -> 6]
  }, All, 2, Alignment -> {.9, .8}]

enter image description here

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