Aligning 2 Sets of Axes at {0,0}; Rotated & Standard Position

*To*: mathgroup at smc.vnet.net*Subject*: [mg123107] Aligning 2 Sets of Axes at {0,0}; Rotated & Standard Position*From*: Bill <WDWNORWALK at aol.com>*Date*: Wed, 23 Nov 2011 07:08:27 -0500 (EST)*Delivered-to*: l-mathgroup@mail-archive0.wolfram.com

Subj: Aligning Two Sets of Axes at {0,0}; Rotated and Standard Position in one plot. Hi: I have the following Mathematica 8.0.4 code that gives me a satisfactory plot: a=17;b=-48;c=31; (ArcTan[b/(a-c)])/2; N[(%)*(180/Pi)]; Print["Majoraxis: Angle in Decimal Degrees= ",%] axes=Graphics[Point[{0,0}],PlotRange->{{-12,12},{-12,12}},Axes->True,AxesStyle->{Directive[{Red,Thin}],Directive[{Black,Thin}]},AxesLabel->{"'x","'y"},AspectRatio->1,ImageSize->500]; ContourPlot[17*x^2-48*x*y+31*y^2+49==0,{x,-12,12},{y,-12,12},AspectRatio->1,Axes->True,AxesStyle->{Directive[{Red,Thin}],Directive[{Black,Thin}]},AxesLabel->{"X","Y"},Background->LightGray,ImageSize->500,Prolog->Inset[Rotate[Graphics[axes],36.8699Degree],{.1,.7}]] However, my objective here is to combine the two plots with the two sets of axes centered automatically. As my code is now, I have to use a trial-and-error visual inspection method, and manually input the location of the rotated axes to match the main plot axes' center at standard position. Ref: See {.1,.7} in ...Inset[Rotate[Graphics[axes],36.8699Degree],{.1,.7}]] (In another example using another equation that I ploted, the alignment values were different yet. So for some reason, these numbers don't seem to be constants from one plot to another.) I have tried AxesOrigin->{0,0} in the plots, but this doesn't seem to matter. Any help will be appreciated. Tia, Bill

**Follow-Ups**:**Re: Aligning 2 Sets of Axes at {0,0}; Rotated & Standard Position***From:*Heike Gramberg <heike.gramberg@gmail.com>