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plotting - Magnifying Glass on a Plot


Although there is a trick in TEX magnifying glass but I want to know is there any function to magnifying glass on a plot with Mathematica?


For example for a function as Sin[x] and at x=Pi/6


Below, this is just a picture desired from the cited site. the image got huge unfortunately I don't know how can I change the size of an image here! enter image description here



Answer



Insetting a magnified part of the original Plot


A) by adding a new Plot of the specified range


xPos = Pi/6;
range = 0.2;

f = Sin;
xyMinMax = {{xPos - range, xPos + range}, 
  {f[xPos] - range*GoldenRatio^-1, f[xPos] + range*GoldenRatio^-1}};

Plot[f[x], {x, 0, 5}, 
 Epilog -> {Transparent, EdgeForm[Thick], 
   Rectangle[Sequence @@ Transpose[xyMinMax]], 
   Inset[Plot[f[x], {x, xPos - range, xPos + range}, Frame -> True, 
     Axes -> False, PlotRange -> xyMinMax, ImageSize -> 270], {4., 0.5}]}, ImageSize -> 700]


PlotA


B) by adding a new Plot within a Circle


mf = RegionMember[Disk[{xPos, f[xPos]}, {range, range/GoldenRatio}]]

Show[{Graphics@Circle[{xPos, f[xPos]}, {range, range/GoldenRatio}], 
  Plot[f[x], {x, xPos - range, xPos + range}] /. 
   Graphics[{{{}, {}, {formating__, line_Line}}}, stuff___] :> 
    Graphics[{{{}, {}, {formating, 
        Line[Pick[line[[1]], mf[line[[1]]]]]}}}, stuff]}, 
 PlotRange -> All, ImageSize -> 200, AspectRatio -> 1, 

 AxesOrigin -> {0, 0}]

Plot[f[x], {x, 0, 5}, 
 Epilog -> {Transparent, EdgeForm[Thick], 
   Disk[{xPos, f[xPos]}, {range, range/GoldenRatio}], 
   Inset[%, {4.1, 0.5}]}, ImageSize -> 700]

PlotB


C) by adding the Line segments within a Circle of the original Plot


Show[{Graphics[{Green, 

    Circle[{xPos, f[xPos]}, {range, range/GoldenRatio}]}],
  Plot[f[x], {x, 0, 5}] /. 
   Graphics[{{{}, {}, {formating__, line_Line}}}, stuff___] :> 
    Graphics[{{{}, {}, {formating, 
        Line[Pick[line[[1]], mf[line[[1]]]]]}}}, stuff]}, 
 PlotRange -> All, ImageSize -> 200, AspectRatio -> 1]

Plot[f[x], {x, 0, 5}, 
 Epilog -> {Green, Line[{{xPos + range, f[xPos]}, {3.38, 0.5}}], 
   Transparent, EdgeForm[Green], 

   Disk[{xPos, f[xPos]}, {range, range/GoldenRatio}], 
   Inset[%, {4.1, 0.5}]}, ImageSize -> 700]

PlotC


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