```Date: Feb 3, 2013 2:51 AM
Author: David Park
Subject: Re: Labelling each curve and changing grid in ParametricPlot

Ed,This is a little difficult because the curves are so closely spaced. One hasto make the plot rather large to identify the labels with the curves. In thefollowing example I put the labels all at the end of the curves and labeledonly every other one. I also put Tooltips on the curves in case it is beingviewed in a notebook.I don't understand what you mean by having the Grid based on Omega. I justdrew a grid but make it very light and avoided the Dashed style (a alTufte).<< Presentations` plot[\[Tau]_, \[CapitalOmega]_] :=  Module[{arg, abs}, {arg, abs} =    Factor[Together[     ComplexExpand[      Through[{Arg,          Abs}[(1 + I*2*\[CapitalOmega])/(1 +            I*2*\[Tau]*\[CapitalOmega])]]]]];  {arg/Degree, 20*Log10[abs]}] Draw2D[ {ParametricDraw[     Tooltip[plot[#, \[CapitalOmega]], #], {\[CapitalOmega], -0.5,       0.01}] & /@ {7, 8, 9, 10, 11, 12, 13, 14, 15},  Text[Framed[Style[phrase["\[Tau] = ", #], 12], FrameMargins -> 0],      plot[#, -0.5], {1, 0}, Background -> White] & /@ {8, 10, 12, 14}}, AspectRatio -> 1, Frame -> True, FrameLabel -> {"phase/\[Degree]", "db"}, RotateLabel -> False, GridLines -> {CustomGridLines[# &, {-10, 60, 10}, {LightGray}],    CustomGridLines[# &, {-20, 0, 5}, {LightGray}]}, BaseStyle -> {FontSize -> 12}, ImageSize -> 600]David Parkdjmpark@comcast.net http://home.comcast.net/~djmpark/index.html From: Eduardo M. A. M. Mendes [mailto:emammendes@gmail.com] HelloI wonder whether someone out there could help me with the following problem.plot[\[Tau]_, \[CapitalOmega]_] := Module[{arg, abs},   {arg, abs} = Factor[Together[ComplexExpand[        Through[{Arg, Abs}[(1 + I*2*\[CapitalOmega])/(1 +I*2*\[Tau]*\[CapitalOmega])]]]]];    {arg/Degree, 20*Log10[abs]}]ParametricPlot[Table[plot[\[Tau], \[CapitalOmega]], {\[Tau], {7, 8, 9, 10,11, 12, 13, 14, 15}}],  {\[CapitalOmega], -0.5, -0.01}, AspectRatio -> 1, GridLines -> Automatic,  GridLinesStyle -> Dashed, ImageSize -> Large]I need to label each curve with the value of tau and, instead of the normalgrid, a grid based on the values of Omega.  I saw something related to the label problem on the net but could not figureout how to change it to my case.   Something with Epilog.Many thanksEd
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