Definition:Projection (Analytic Geometry)/Plane

Definition
Let $M$ and $N$ be distinct lines in the plane.


 * Projection-in-plane.png

The projection on $M$ along $N$ is the mapping $\pr_{M, N}$ such that:
 * $\forall x \in \R^2: \map {\pr_{M, N} } x =$ the intersection of $M$ with the line through $x$ parallel to $N$.