# Definition:Projection (Geometry)

(Redirected from Definition:Geometric Projection)

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*This page is about projection in the context of geometry. For other uses, see projection.*

## Definition

A **projection** is a mapping from a geometric figure onto a plane according to certain rules.

This article is complete as far as it goes, but it could do with expansion.In particular: The above is all you get in NelsonYou can help $\mathsf{Pr} \infty \mathsf{fWiki}$ by adding this information.To discuss this page in more detail, feel free to use the talk page.When this work has been completed, you may remove this instance of `{{Expand}}` from the code.If you would welcome a second opinion as to whether your work is correct, add a call to `{{Proofread}}` the page. |

### Projection in Plane

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 $N$.

This definition needs to be completed.In particular: The projection of a surface onto a surface as in Electric Flux out of Closed Surface surrounding Point Charge/Lemma and so onYou can help $\mathsf{Pr} \infty \mathsf{fWiki}$ by adding or completing the definition.To discuss this page in more detail, feel free to use the talk page.When this work has been completed, you may remove this instance of `{{DefinitionWanted}}` from the code.If you would welcome a second opinion as to whether your work is correct, add a call to `{{Proofread}}` the page. |

## Also see

- Definition:Central Projection
- Definition:Mercator's Projection
- Definition:Orthogonal Projection
- Definition:Stereographic Projection

- Results about
**geometric projections**can be found**here**.

## Sources

- 1998: David Nelson:
*The Penguin Dictionary of Mathematics*(2nd ed.) ... (previous) ... (next):**projection** - 2008: David Nelson:
*The Penguin Dictionary of Mathematics*(4th ed.) ... (previous) ... (next):**projection**