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%
% halfplane.tex
%
% (c) 2021 Prof Dr Andreas Müller, OST Ostschweizer Fachhochschule
%
\documentclass[tikz]{standalone}
\usepackage{times}
\usepackage{amsmath}
\usepackage{txfonts}
\usepackage[utf8]{inputenc}
\usepackage{graphics}
\usetikzlibrary{arrows,intersections,math}
\usepackage{ifthen}
\begin{document}
\newboolean{showgrid}
\setboolean{showgrid}{false}
\def\breite{5}
\def\hoehe{4}
\begin{tikzpicture}[>=latex,thick]
% Povray Bild
\node at (0,0) {\includegraphics[width=10cm]{halfplane.jpg}};
% Gitter
\ifthenelse{\boolean{showgrid}}{
\draw[step=0.1,line width=0.1pt] (-\breite,-\hoehe) grid (\breite, \hoehe);
\draw[step=0.5,line width=0.4pt] (-\breite,-\hoehe) grid (\breite, \hoehe);
\draw (-\breite,-\hoehe) grid (\breite, \hoehe);
\fill (0,0) circle[radius=0.05];
}{}
\node at (0,3.7) {$z$};
\node at (3.3,-0.3) {$x$};
\node at (2.7,2.5) {$y$};
\end{tikzpicture}
\end{document}
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