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\documentclass[a4paper,10pt]{article}
\usepackage[utf8x]{inputenc}
\usepackage{asymptote}
\usepackage{amsmath}
\usepackage{amsfonts}   
\usepackage{amssymb}
\begin{document}
die bilder sollen nebeneinander sein
\begin{figure}[h]
\centering
\begin{asy}
import graph;
     size(150,0);
     draw((0,0)--(18,0));
     draw((18,0)--(9,9));
     dot("$p$",(9,4),S);
\end{asy}
\caption{}
\end{figure}
\begin{figure}[h]
\centering
\begin{asy}
import graph;
     size(150,0);
     draw((0,0)--(9,4));
     draw((9,9)--(9,4));
       dot("$p$",(9,4),S);
\end{asy}
\caption{}
\end{figure}
\end{document}