\documentclass{eurocg10}

% The packages graphicx, amssymb, and amsmath are already loaded via
% eurocg10.cls

%----------------------- Macros and Definitions --------------------------

% Add all additional macros here, do NOT include any additional files.

% The environments theorem (Theorem), invar (Invariant), lemma (Lemma),
% cor (Corollary), obs (Observation), conj (Conjecture), prop 
% (Proposition), defini (Definition), and proof (Proof) are already defined 
% in the eurocg09.cls file. Add additional environments only if you REALLY 
% need them.

%----------------------- Title -------------------------------------------

\title{An Example Contribution for EuroCG'10}

\author{Sylvia Example\thanks{Department of Computer Science,
        Important University, {\tt sexample@cs.important.at}}
        \and
        Anton Veryknown\thanks{Department of Mathematics and Computer
        Science, University of Somewhere, {\tt averyknown@math.somewhere.es}}}

%------------------------------ Text -------------------------------------

\begin{document}
\maketitle

\begin{abstract}
Here you should add a concise and exiting abstract for your paper.
\end{abstract}

\section{Introduction}

Well, the usual \ldots\ and also some citations, see~\cite{g-atpwog-2006}  \ldots\
Large parts of this document are stolen (with permission) from~\cite{s-eef-2008}.

\begin{conj}
Could it really be like this?
\end{conj}
\begin{obs}
Probably not  \ldots\
\end{obs}

\begin{defini}
Some things are just not definable  \ldots\
\end{defini}

\begin{theorem}
This is the most important theorem.
\end{theorem}
\begin{proof}
It even comes with a proof  \ldots\
\end{proof}

\begin{lemma}
And then we also found this lemma  \ldots\
\end{lemma}

There should be some more text explaining research results in some
additional sections, but since this is only an example file  \ldots\
on the other hand  \ldots\ well, no!


\section{Conclusion}

What we did is amazing and improves everything that was there before.


\section*{Acknowledgments}

{\small
We thank the organizers for the tasty cookies  \ldots\ }


%---------------------------- Bibliography -------------------------------

% Please add the contents of the .bbl file 

\small 
\bibliographystyle{abbrv}

\begin{thebibliography}{99}

\bibitem{g-atpwog-2006}
D.~Grace of Florence.
\newblock {\em All Theories Proven With One Graph.}
\newblock The Journal of Irreproducible Results, 2006, California, USA.

\bibitem{s-eef-2008}
B.~Speckmann.
\newblock {\em EuroCG2008 example file.}
\newblock http://eurocg08.loria.fr/EuroCG08Exemple.tex, 2008.

\end{thebibliography}

\end{document}