diff --git a/math/computational_geometry/notes.page b/math/computational_geometry/notes.page index 656fd1d..881a0ce 100644 --- a/math/computational_geometry/notes.page +++ b/math/computational_geometry/notes.page @@ -26,3 +26,9 @@ are *vertices*. The set of vertices and edges is the *boundary*. :The boundary $\partial P$ of a polygon $P$ partitions the plane into two parts. In particular, the two components of $\Bbb{R}^2\setminus \partial P$ are the bounded interior and the unbounded exterior. + +A point $x$ is *interior* if a ray through it in a fixed direction not +parallel to an edge passes through an odd number of edges. + +A point $x$ is *exterior$ if a ray through it ... etc ... through an +even number of edges.