Definition:Projection (Analytic Geometry)/Plane

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This page is about Projection in the context of Analytic Geometry. For other uses, see Projection.


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


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 $N$.

Also see

  • Results about geometric projections can be found here.