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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.
%% 
%% 
%%Run also: >>  << 
% Show page(s) 1
%% 
\documentclass[ngerman]{article}
\pagestyle{empty}
\setlength\textwidth{190.324pt}
\usepackage{babel}
\setlength{\parindent}{0em}

\usepackage[utf8]{luainputenc}
\def\Laenge(#1,#2)(#3,#4){%
  \directlua{%
    tex.print(math.sqrt((#4-#2)^2+
                        (#3-#1)^2))}}

\begin{document}
Der Punkt $A(4,1)$ hat vom
Punkt $B(3.2,5.5)$ einen Abstand von
\Laenge(4,1)(3.2,5.5)\,LE.
\end{document}