Definition:Triangulation of Polygon

Definition
Let $P$ be a polygon.

A triangulation of $P$ is a dissection of $P$ into a set of triangles $\family { \triangle_i }_{ i \mathop \in \II }$, where $\II$ is an index set.

If $P$ is a triangle, we consider $\family { P }$ to be a triangulation of $P$.