WAYS:Light: Projection: On Plane pg.1

Definition 2b of the O.E.D. entry for “projection” reads:

Geom. The drawing of straight lines or rays (esp. from a fixed point) through every point of a given figure, usually so as to intersect a surface and describe on it a new figure each point of which corresponds to a point of the original. Also: the resulting figure. Hence more generally: a representation of a figure on a surface according to a particular system of correspondence between its points and the points of the surface; an analogous operation performed in a space of different dimension. Also fig.See note at sense 2a.
"projection, n.". OED Online. September 2012. Oxford University Press.(accessed October 22, 2012).

Types of projection are surprisingly numerous, even when limited to the representation of three-dimensional space onto a two-dimensional plane. The type of projection used depends on the rules used to structure the “correspondence between its [the 3D object’s or space’s] points and the points of the surface” on which the projection is being rendered. Each system preserves aspects of the original object at the expense of others.

Generally speaking, perspectival projection represents the world “as we see it”. However, it is as rooted in convention as any other projection. The presumed viewers of such perspectives perceive depth bifocally, they synthesize data from two lenses mentally rather than graphically. Cameras generally use a single lens that has led us to confuse the closeness of photographic ‘reality’ with perspective drawing. It seems photography confirms the accuracy of perspective when the former may have its roots in the rules and techniques used to establish the latter.