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%% 
%%  A DANTE-Edition example
%% 
%%  Example 36-00-83 on page 802.
%% 
%%  Copyright (C) 2011 Herbert Voss
%% 
%%  It may be distributed and/or modified under the conditions
%%  of the LaTeX Project Public License, either version 1.3
%%  of this license or (at your option) any later version.
%% 
%%  See http://www.latex-project.org/lppl.txt for details.
%% 
%% 
%% ==== 
% Show page(s) 1
%% 
\documentclass[]{article}
\pagestyle{empty}
\setlength\textwidth{201.70511pt}
\setlength\parindent{0pt}

\usepackage{pstricks,pst-plot,graphicx,amsmath}
\newcommand\htick[1]{\psline[linewidth=.1mm](#1,-.75mm)(#1,.75mm)}
\newcommand\vtick[1]{\psline[linewidth=.1mm](-.75mm,#1)(.75mm,#1)}


\begin{document}
\resizebox{\linewidth}{!}{%
\psset{xunit=5.83mm,yunit=5.83mm,curvature=1 .1 .75,plotpoints=200}
\begin{pspicture}(-3,-5)(9,6)
\psaxes[Dx=1,dx=2,Dy=1,dy=2,labelsep=.75mm,arrowlength=1.75,ticksize=2pt,linewidth=0.17mm]%
{->}(0,0)(-2.99,-4.99)(9,6)
\rput[Br](9,.4){$\text{Re}(z),\ \text{Re}(w)$}
\rput[tl](.3,6){$\text{Im}(z),\ \text{Im}(w)$}
\rput[Br](-.25,-.584){$0$}
\htick{1}
\rput(.7,-.584){$\frac{1}{4}$}
%
\rput[tl](-2.8,5.8){$w=\frac{1}{z^{*\vphantom{2}}}$}
\rput[tl](-2.8,4.8){$\text{Re}(z)=\frac{1}{4}$}
%
\psline[linewidth=.17mm,linecolor=red](.5,-5)(.5,6)
\htick{0.5}
\pscircle[linewidth=.5mm,linecolor=blue](4,0){2.332}
\pscircle[linewidth=.5mm,linecolor=red](0,0){1.166}
%
\end{pspicture}
\hspace{1em}
\begin{pspicture}(-5,-5)(7,6)
\psaxes[Dx=.5,dx=2,Dy=.5,dy=2,labelsep=.75mm,arrowlength=1.75,ticksize=2pt,linewidth=0.17mm]%
    {->}(0,0)(-4.99,-4.99)(7,6)
\rput[Br](7,.4){$\text{Re}(z),\ \text{Re}(w)$}
\rput[tl](.3,6){$\text{Im}(z),\ \text{Im}(w)$}
\rput[Br](-.25,-.584){$0$}
%
\rput[l](-4.8,5.2){$w=\frac{1}{z^{*\vphantom{2}}}$}
\rput[l](4.2,5.2){$\text{Re}(z)=1$}
%
\psline[linewidth=.17mm,linecolor=red](4,-5)(4,6)
\pscircle[linewidth=.5mm,linecolor=red](0,0){2.332}
\pscircle[linewidth=.5mm,linecolor=blue](2,0){1.166}
\end{pspicture}
}
\end{document}