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%%
%% Ein Beispiel der DANTE-Edition
%%
%%
%% Copyright (C) 2010 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[]{exaarticle}
\pagestyle{empty}
\setlength\textwidth{352.81416pt}
\setlength\parindent{0pt}
\StartShownPreambleCommands
\usepackage{pstricks,pst-plot,graphicx,amsmath}
\SpecialCoor
\StopShownPreambleCommands
\begin{document}
\resizebox{\linewidth}{!}{%
\psset{xunit=10mm,yunit=10mm,curvature=1 .1 .75,plotpoints=200}
\begin{pspicture}(-2,-2.6)(2.5,2.4)
\psaxes[labels=none,arrowlength=1.75,ticks=none,linewidth=0.17mm]%
{->}(0,0)(-2,-2)(2.5,2.4)
\rput[Br](2.5,-.35){$\text{Re}(z)$}
\rput[tl](.15,2.4){$\text{Im}(z)$}
\rput[Bl](.15,-.35){$0$}
%
\uput{1mm}[90](1.4,0.1){$z_0$}
\uput{1mm}[45](-.6,1.2){$z_1$}
\uput{1mm}[315](-.6,-1.2){$z_2$}
\uput{1mm}[45](0.3,0.3){$120^\circ$}
\uput{1mm}[225](-0.3,-0.3){$120^\circ$}
\uput{1mm}[315](0.3,-0.3){$120^\circ$}
%
\pscircle[linewidth=.17mm](0,0){1.8}
\psarc[linewidth=.17mm,linecolor=red]{->}{.5}{0}{120}
\psarc[linewidth=.17mm,linecolor=red]{->}{.5}{120}{240}
\psarc[linewidth=.17mm,linecolor=red]{->}{.5}{240}{360}
\psline[linewidth=.5mm,linecolor=blue]{->}(1.8;120)
\psline[linewidth=.5mm,linecolor=blue]{->}(1.8;240)
\psline[linewidth=.5mm,linecolor=blue]{->}(1.8;0)
%
\rput[B](-1.8,-.35){\psframebox*{$-1$}}
\rput[B](1.8,.15){\psframebox*{$1$}}
\rput[l](.15,1.8){\psframebox*{$1$}}
\rput[l](.15,-1.8){\psframebox*{$-1$}}
%
\uput{0mm}[90](0,-2.6){$z^3=1$}
\end{pspicture}~
\begin{pspicture}(-2,-2.6)(2.5,2.4)
\psaxes[labels=none,arrowlength=1.75,ticks=none,linewidth=0.17mm]%
{->}(0,0)(-2,-2)(2.5,2.4)
\rput[Br](2.5,-.35){$\text{Re}(z)$}
\rput[tl](.15,2.4){$\text{Im}(z)$}
%
\uput{1mm}[90](1.4,.1){$z_0$}
\uput{1mm}[90](-1.4,.1){$z_2$}
\uput{1mm}[0](.1,1.5){$z_1$}
\uput{1mm}[0](.1,-1.5){$z_3$}
\uput{1mm}[45](0.3,0.3){$90^\circ$}
\uput{1mm}[135](-0.3,0.3){$90^\circ$}
\uput{1mm}[225](-0.3,-0.3){$90^\circ$}
\uput{1mm}[315](0.3,-0.3){$90^\circ$}
%
\pscircle[linewidth=.17mm](0,0){1.8}
%
\rput[B](-1.8,-.35){\psframebox*{$-1$}}
\rput[B](1.8,.15){\psframebox*{$1$}}
\rput[l](.15,1.8){\psframebox*{$1$}}
\rput[l](.15,-1.8){\psframebox*{$-1$}}
%
\psarc[linewidth=.17mm,linecolor=red]{->}{.5}{0}{90}
\psarc[linewidth=.17mm,linecolor=red]{->}{.5}{90}{180}
\psarc[linewidth=.17mm,linecolor=red]{->}{.5}{180}{270}
\psarc[linewidth=.17mm,linecolor=red]{->}{.5}{270}{360}
%
\psline[linewidth=.5mm,linecolor=blue]{<->}(-1.8,0)(1.8,0)
\psline[linewidth=.5mm,linecolor=blue]{<->}(0,-1.8)(0,1.8)
%
\uput{0mm}[90](0,-2.6){$z^4=1$}
\end{pspicture}~
\begin{pspicture}(-2,-2.6)(2.5,2.4)
\psaxes[labels=none,arrowlength=1.75,ticks=none,linewidth=0.17mm]%
{->}(0,0)(-2,-2)(2.5,2.4)
\rput[Br](2.5,-.35){$\text{Re}(z)$}
\rput[tl](.15,2.4){$\text{Im}(z)$}
%
\uput{1mm}[90](1.4,0.1){$z_0$}
\uput{1mm}[0](.5,1.2){$z_1$}
\uput{1mm}[0](.5,-1.2){$z_4$}
\uput{1mm}[45](-1.2,1){$z_2$}
\uput{1mm}[315](-1.2,-1){$z_3$}
\uput{1mm}[36](0.5,0.2){$72^\circ$}
\uput{1mm}[110](-0.2,0.5){$72^\circ$}
\uput{1mm}[200](-0.5,-0.2){$72^\circ$}
\uput{1mm}[250](-0.2,-0.5){$72^\circ$}
\uput{1mm}[324](0.5,-0.2){$72^\circ$}
%
\pscircle[linewidth=.17mm](0,0){1.8}
%
\rput[B](-1.8,-.35){\psframebox*{$-1$}}
\rput[B](1.8,.15){\psframebox*{$1$}}
\rput[l](.05,1.8){\psframebox*{$1$}}
\rput[l](.05,-1.95){$-1$}
%
\psarc[linewidth=.17mm,linecolor=red]{->}{.5}{0}{72}
\psarc[linewidth=.17mm,linecolor=red]{->}{.5}{72}{144}
\psarc[linewidth=.17mm,linecolor=red]{->}{.5}{144}{216}
\psarc[linewidth=.17mm,linecolor=red]{->}{.5}{216}{288}
\psarc[linewidth=.17mm,linecolor=red]{->}{.5}{288}{360}
\psline[linewidth=.5mm,linecolor=blue]{->}(1.8;72)
\psline[linewidth=.5mm,linecolor=blue]{->}(1.8;144)
\psline[linewidth=.5mm,linecolor=blue]{->}(1.8;216)
\psline[linewidth=.5mm,linecolor=blue]{->}(1.8;288)
\psline[linewidth=.5mm,linecolor=blue]{->}(1.8;0)
\uput{0mm}[90](0,-2.6){$z^5=1$}
\end{pspicture}
}%
\end{document}
|
