Definition:Projection (Analytic Geometry)/Plane

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

Definition

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.

Sources

• 1965: Seth Warner: Modern Algebra ... (previous) ... (next): Chapter $\text {V}$: Vector Spaces: $\S 28$. Linear Transformations: Example $28.5$