I have the following code:

f[u_] = Graphics[{Circle[{0, 1}, 1],  Circle[{2 Sqrt[u], u}, u]}]
Manipulate[Show[f[u]], {{u, 0.5},1,10}]

Now, if we try the slider, we can actually see that when we make the second circle (the one for which its center and radius depend on $u$), the first "fixed" circle (the unit circle centered in $(0,1)$) will shrink in size in the picture.

What should I do in order to keep that circle "fixed" in size, i.e. no matter how big I make the second circle, the first circle remains fixed in size when using the slider? (so the image does not zoom in/out to see both circles)

  • $\begingroup$ Add an appropriate fixed PlotRange to your Show? $\endgroup$ – MarcoB Mar 27 '19 at 21:24

Try something like this:

f[u_] := Graphics[{Circle[{0, 1}, 1], Circle[{2 Sqrt[u], u}, u]}]
   PlotRange -> PlotRange[f[10]], 
   PlotRangePadding -> Scaled[.05]
 {{u, 0.5}, 0.5, 10}

Here I use the PlotRange function to extract the plot range for the graphic with the largest possible circle, i.e. the one produced by f[10], then apply 5% padding to that range to make sure that everything fits comfortably.

  • $\begingroup$ This is exactly what I needed! Thank you! $\endgroup$ – QWE Mar 27 '19 at 21:28
  • $\begingroup$ @QWE Glad to help! You are very welcome. $\endgroup$ – MarcoB Mar 27 '19 at 21:28

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