\begin{definition}[Definition:Geodesic Triangle]
Let $A$, $B$ and $C$ be points on a surface $S$.
Let $AB$, $BC$ and $CA$ be geodesic curves between $A$ and $B$, $B$ and $C$, and $C$ and $A$ respectively.
The figure enclosed by $AB$, $BC$ and $CA$ is known as a '''geodesic triangle''', and can be denoted $ABC$.
\end{definition}