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\begin{document}
\title{}
\markboth{Eugen Iona\c{s}cu and Gabriel Pr\u{a}jitur\u{a}} {Things to do
with a broken stick}
\begin{tabular}{l}
INTERNATIONAL JOURNAL OF GEOMETRY \\
Vol. 3 (2013), No. 1, 5 - 14%
\end{tabular}
\ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \FRAME{itbpF}{%
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\centerline{}\bigskip
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\centerline {\Large{\bf THINGS TO DO WITH A BROKEN STICK }}\centerline{}%
\centerline {\Large{\bf }}
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\begin{center}
{\large EUGEN J. IONA\c{S}CU and GABRIEL PR\u{A}JITUR\u{A}}
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\bigskip
\textbf{Abstract.} In this article we consider variations of a classical
geometric probability question in Euclidean Geometry. Our work is tightly
related to the problem of constructing a triangles given three of its
elements. In some cases we find exact similar probabilities or if the
calculations turn to be cumbersome we include numerical approximations for
these probabilities.
\bigskip
\section{Introduction}
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\begin{cor}
\textit{This is a corrolary}.
\end{cor}
\begin{defn}
\textit{This is a definition}
\end{defn}
\begin{lemma}
\textit{This is a lemma.}
\end{lemma}
\begin{prop}
\textit{This is a proposition.}
\end{prop}
\begin{rem}
\textit{This is a remark.}
\end{rem}
\begin{proof}
\textit{This is a proof of the remark.}
\end{proof}
\begin{theorem}
\textit{This is a theorem.}
\end{theorem}
\begin{theorem}
\textit{This is a theorem.}
\end{theorem}
\bigskip
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\textbf{Keywords and phrases: }Stick, Triangle, Probability
\textbf{(2010)Mathematics Subject Classification: }51P99, 60A99
Received: 1.01.2013. \ In revised form: 13.06.2013. \ Accepted:
10.09.2013.\bigskip
\bigskip
\section{MAIN RESULT}
\begin{lemma}
\textit{This is a lemma.}
\end{lemma}
\begin{theorem}
\textit{This is a theorem.}
\end{theorem}
\bigskip
\bigskip
\begin{thebibliography}{9}
\bibitem{1} Amarasinghe, G.W., \emph{On the standard lengths of angle
bisectors and the angle bisector theorem}, Global Journal of Advanced
Research on Classical and Modern Geometries, \textbf{1(1)(2012)} 15--27.
\bibitem{2} Barbu, I.C., \emph{Fundamental theorems of triangle geometry}
(Romanian), Editura Unique, Bac\u{a}u, 2008.
\bibitem{3} Coxeter, H.S.M. and Greitzer, S. L., \emph{Geometry Revisited},
The Math. Assoc. of America, 1967.
\bibitem{4} F.G.-M., \emph{Exercices de g\'{e}om\'{e}trie}, Huiti\`{e}me
\'{e}dition, Paris, 1931.
\end{thebibliography}
\bigskip
\bigskip
\bigskip
DEPARTMENT OF MATHEMATICS
COLUMBUS STATE UNIVERSITY
COLUMBUS, 31907 GA, US
\textit{E-mail address}: \texttt{math@jionascu.ro}
\bigskip
\bigskip
DEPARTMENT OF MATHEMATICS
THE COLLEGE AT BROCKPORT
STATE UNIVERSITY OF NEW YORK, US
\textit{E-mail address}: \texttt{gprajitu@brockport.com}\bigskip
\end{document}