Definition:Geodesic Triangle

Definition
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 $ABC$.