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+%%
+%% Die DANTE-Edition
+%% Ein Beispiel der LaTeX Referenz
+%% 3. Auflage
+%%
+%%
+%% Copyright (C) 2013 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{145.16928pt}
+\setlength\parindent{0pt}
+%StartShownPreambleCommands
+\usepackage{xparse}
+\NewDocumentCommand\Abstandsvektor
+ { > { \SplitArgument { 2 } { ; } } m }
+ { \xyz #1 }
+\NewDocumentCommand\xyz { mmm }
+ {\directlua{%
+ tex.print(math.sqrt(#1*#1+#2*#2+#3*#3))}}
+%StopShownPreambleCommands
+\begin{document}
+Die Länge des Abstandsvektors des Punktes (1;2;3) ist
+\Abstandsvektor{1;2;3}
+\end{document}