<!DOCTYPE HTML PUBLIC "-//W3C//DTD HTML 4.0 Transitional//EN">
<HTML><HEAD>
<META http-equiv=Content-Type content="text/html; charset=iso-8859-1">
<META content="MSHTML 6.00.2900.2722" name=GENERATOR>
<STYLE></STYLE>
</HEAD>
<BODY bgColor=#ffffff>
<DIV><FONT face=Arial size=2>Hallo Herber Voss,</FONT></DIV>
<DIV><FONT face=Arial size=2></FONT> </DIV>
<DIV><FONT face=Arial size=2>after installing the pstricks-add file from your
link, nothing changed.</FONT></DIV>
<DIV><FONT face=Arial size=2>Sorry I forgot a full example last time.
Latex runs without error message, but</FONT></DIV>
<DIV><FONT face=Arial size=2>picture and all after it cant displayed in
gostview or acrobat.</FONT></DIV>
<DIV><FONT face=Arial size=2></FONT> </DIV>
<DIV><FONT face=Arial size=2>Thanks</FONT></DIV>
<DIV><FONT face=Arial size=2></FONT> </DIV>
<DIV><FONT face=Arial size=2>Thomas Söll</FONT></DIV>
<DIV><FONT face=Arial size=2></FONT> </DIV>
<DIV><FONT face=Arial
size=2>\documentclass[a4paper,12pt]{article}<BR>\usepackage[T1]{fontenc}<BR>\usepackage[latin1]{inputenc}<BR>\usepackage{tabularx}<BR>\usepackage{fancyhdr}<BR>\usepackage{ngerman}<BR>\usepackage{amsmath}<BR>\usepackage{amsthm}<BR>\usepackage{amssymb}<BR>\usepackage{amsfonts}<BR>\renewcommand{\familydefault}{\sfdefault}<BR>\usepackage{mathpazo}<BR>\usepackage[scaled=.95]{helvet}<BR>\usepackage{courier}<BR>%\linespread{1.05}
% Zeilenabstand um 5%
erhöhen<BR>\usepackage{upgreek}<BR>\usepackage{enumerate}<BR>\usepackage{floatflt}<BR>\usepackage{caption}%[2004/07/16]%[margin=10pt,font=small,labelfont=bf]
Parameter verändert die
Unterschrift<BR>\usepackage{multicol}%[1999/05/25]<BR>\usepackage{dcolumn}
%<BR>\usepackage{booktabs} % Für bessere Abstände in Tabellen<BR>%
\usepackage{makeidx} % Zur Indexerzeugung<BR>\usepackage{index} %
Zur Indexerzeugung Variante für weitere Verzeichnisse z.B. Namensverz.
usw.<BR>\usepackage{wrapfig}<BR>\usepackage{lastpage}<BR>\usepackage{polynom}
% Polynomdivision<BR>\usepackage{gauss} % Verwendung bei
Gauss-Elimination siehe auch gauss.pdf<BR>\usepackage{exscale} % Zum Skalieren
von Formelzeichen mit big ...<BR>\usepackage{cancel} % Zum
Kürzen<BR>%\usepackage{statex} % Für TI83 und
Statistik-Funktionen<BR>%\usepackage{wasysym}<BR>%\usepackage{marvosym}<BR>%\usepackage{ulsy}<BR>\usepackage{dsfont}<BR>%
\usepackage{bbding,pifont,dingbat}<BR>\usepackage[clock,weather,misc,geometry,electronic]{ifsym}<BR>\usepackage{array}<BR>%\usepackage{textcomp}<BR>\usepackage[raggedright,nooneline]{subfigure}
% From
CTAN/macros/latex/contrib/supported/subfigure<BR>\usepackage{mathrsfs}<BR>\usepackage{srcltx}<BR>%\usepackage{xkeyval}<BR>\usepackage{ifthen}
% From LaTeX
distribution<BR>\usepackage{calc}
% From LaTeX
distribution<BR>\input{random.tex} %
From
CTAN/macros/generic<BR>%\usepackage[dvips]{graphics}<BR>\usepackage[dvips]{graphicx}<BR>\usepackage[dvips]{changebar}<BR>\usepackage[dvips,usenames,dvipsnames]{xcolor}
%% Farben sind im Dokument xcolor.pdf
definiert<BR>\usepackage{lscape}<BR>\usepackage{multicol}<BR>\usepackage{pstricks}<BR>\usepackage{multido}
% From
PSTricks<BR>\usepackage{pst-grad}<BR>\usepackage{pst-plot}<BR>\usepackage{pst-coil}<BR>\usepackage{pst-node}<BR>\usepackage{pst-eps}<BR>\usepackage[tiling]{pst-fill}<BR>\usepackage{pst-tree}<BR>%\usepackage{pst-all}<BR>\usepackage{pst-osci}<BR>\usepackage[baw,pstricks]{fvrb-ex}<BR>\usepackage{pst-poly}
% From
pstricks/contrib/pst-poly<BR>%\usepackage{pstcol}<BR>\usepackage{pst-3d}<BR>\usepackage{pst-optic}<BR>\usepackage{pst-text}<BR>\usepackage{pst-ghsb}<BR>\usepackage{pst-blur}<BR>\usepackage{pst-char}<BR>\usepackage{pst-slpe}<BR>\usepackage{pst-text}<BR>\usepackage{pst-eucl}<BR>\usepackage{pst-plot}<BR>\usepackage{pst-math}<BR>\usepackage{pst-func}<BR>\usepackage{pst-3dplot}<BR>\usepackage{pstricks-add}</FONT></DIV>
<DIV> </DIV><FONT face=Arial size=2>
<DIV><BR>\usepackage[ps2pdf,pagebackref,pdfpagelabels,colorlinks,linktocpage,extension=pdf]{hyperref}<BR>\usepackage{url}<BR>%\usepackage[ps2pdf]{thumbpdf}<BR>%\usepackage{hypbmsec}</DIV>
<DIV> </DIV>
<DIV> </DIV>
<DIV> </DIV>
<DIV>%\usepackage[user=donald,owner=Thomas Söll,print=false,copy=false,
edit=false, annotate=false]{pdfcrypt}</DIV>
<DIV> </DIV>
<DIV>%thumbpdf --modes=ps2pdf Energietransport.pdf</DIV>
<DIV> </DIV>
<DIV>\hypersetup{%<BR>%pdfpagemode = {None}, % Verhindert die automatische
Anzeige der Lesezeichen<BR>colorlinks=true, % Einfärbung von
Verknüpfungen<BR>%pdfpagemode=UseThumbs, % Anzeige der
Piktogramme<BR>%\pdfbookmark[1]{\contentsname}{toc},<BR>pagecolor=blue,
menucolor=blue, linkcolor=blue,<BR>bookmarksopen=true, % Anzeige aller
Ebenen<BR>bookmarksnumbered=true, % Anzeige der
Abschnittsnummern<BR>pdfstartpage={1}, % Startseite<BR>%pdfstartview={FitH}, %
Legt die Anzeigegröße fest<BR> pdftitle = {Mathematik in Klasse 12},
pdfsubject = {Unterrichtsmaterial},<BR>pdfauthor = {Söll, Thomas} }</DIV>
<DIV> </DIV>
<DIV><BR>%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%<BR>%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%</DIV>
<DIV> </DIV>
<DIV>%\special{ pdf: pagesize width 8.35truein height
11.74truein}<BR>%\special{ pdf: docview <</PageMode
/a4>>}</DIV>
<DIV> </DIV>
<DIV>\input dokdef0</DIV>
<DIV> </DIV>
<DIV><BR>%\pagestyle{empty}<BR>%------------------------------------------<BR> \addtolength{\headsep}{-.25cm}<BR> \addtolength{\topmargin}{-.55cm}<BR> \addtolength{\topmargin}{-2.1cm}<BR> \addtolength{\oddsidemargin}{-1.2cm}<BR> \addtolength{\evensidemargin}{-2.6cm}<BR>%------------------------------------------<BR> \textheight26cm<BR> \textwidth16.5cm<BR>%------------------------------------------<BR> %\sloppy
\nonfrenchspacing<BR>%\parindent0ex<BR>\setlength{\parindent}{0pt}
%\setlength{\parskip}{\baselineskip}</DIV>
<DIV> </DIV>
<DIV><BR>\begin{document}</DIV>
<DIV> </DIV>
<DIV>\subsubsection*{\Aufgabe}% Aufgabe 8</DIV>
<DIV> </DIV>
<DIV>Trägt man von einem Punkt P alle Vielfachen zweier linear unabhängigen
Vektoren $\vec{a}$ und $\vec{b}$ an,<BR>so erhält man nur Punkte die in einer
Ebene liegen.</DIV>
<DIV> </DIV>
<DIV>{\begin{pspicture}*(-7.5,-2.8)(7.5,5.3)%<BR>\psset{xMin=0,yMin=0,zMin=0,Alpha=50,
Beta=15,Dx=1,Dy=1,Dz=1,subticks=7,arrowsize=.2}%<BR>\pstThreeDSquare[style=TGreen](4.8,-5.1,3)(-8,6,0)(0,6,-4)%<BR>\pstThreeDLine[arrows=->,linewidth=1.5pt,linecolor=red](0,0,0)(7,0,0)%<BR>\pstThreeDLine[arrows=->,linewidth=1.5pt,linecolor=red](0,0,0)(0,7,0)%<BR>\pstThreeDLine[arrows=->,linewidth=1.5pt,linecolor=red](0,0,0)(0,0,5)%<BR>
\pstThreeDPut(6.8,0,-0.3){\color{red}$x_{1}\runter$}%<BR>
\pstThreeDPut(0,6.8,-0.3){\color{red}$x_{2}\runter$}%<BR>
\pstThreeDPut(0.6,0,4.8){\color{red}$x_{3}\runter$}%<BR>\pstThreeDPlaneGrid[planeGrid=xy,linewidth=0.1pt,linecolor=gray!70](0,0)(7,7)%<BR>\pstThreeDPlaneGrid[planeGrid=xz,linewidth=0.1pt,linecolor=gray!70,planeGridOffset=0,ysubticks=4](0,0)(7,4)%<BR>\pstThreeDPlaneGrid[planeGrid=yz,linewidth=0.1pt,linecolor=gray,planeGridOffset=0,ysubticks=4](0,0)(7,4)%<BR>%\pstThreeDPut(0,0,3){\pstThreeDPlaneGrid[planeGrid=xy,linewidth=0.1pt,linecolor=lightgray](0,0)(10,10)}%<BR>
\pstThreeDPut(0,0,0){\pnode{O}}%<BR>
\pstThreeDPut(2,0,1){\pnode{P}}%<BR>
\pstThreeDPut(-2,1.5,0){\pnode{Q}}%<BR>
\pstThreeDPut(0,-3,2){\pnode{R}}%<BR>
\setLCNode(P){1}(Q){1.5}{Q1}%<BR> \setLCNode(P){1}(R){.75}{R1}%<BR>
\setLCNode(Q){1.4}(R){0.8}{QR1}%<BR>
\setLCNode(Q){1}(R){.75}{QR2}%<BR>
\pcline[linecolor=Dandelion]{->}(O)(P)%<BR>
\naput[npos=0.6]{\color{Dandelion}$\vec{p}$}%<BR>
\pcline[linecolor=blue!80]{->}(P)(Q1)%<BR>
\nbput[nrot=:U,npos=0.7]{\color{blue!80}$\vec{a}$}%<BR>
\pcline[linecolor=blue!80]{->}(P)(R1)%<BR>
\nbput[npos=0.6]{\color{blue!80}$\vec{b}$}%<BR>
\pcline[linecolor=Purple]{->}(O)(QR1)%<BR>
\naput[npos=0.7]{\color{Purple}$\vec{x}$}%<BR>\end{pspicture}}</DIV>
<DIV> </DIV>
<DIV>Jeder Punkt {\color{Violet} X} der Ebene lässt sich als
Linearkombination der Spannvektoren $\vec{a}$ und<BR>$\vec{b}$ darstellen. Für
ein beliebiges {\color{Violet} X} erhält man mit den Parametern $s$ und
$t$ :<BR>\begin{equation*}<BR> \kast{ E: \vec{x} = \vec{p} + s\cdot
\vec{a} + t\cdot \vec{b} \qquad s;t\in \RR }<BR>\end{equation*}</DIV>
<DIV> </DIV>
<DIV>\end{document}<BR></FONT> </DIV></BODY></HTML>