c.1400, "a plan, draft, scheme," from L. projectum "something thrown forth," noun use of neuter of projectus, pp. of projicere "stretch out, throw forth," from pro- "forward" + combining form of jacere (pp. jactus) "to throw" (see jet (v.)). Meaning "scheme, proposal, mental plan" is from 1601. Meaning "group of low-rent apartment buildings" first recorded c.1958, from housing project (1932).
c.1477, "to plan," from L. projectus (see project (n.)). Sense of "to stick out" is from 1718. Meaning "to cast an image on a screen" is recorded from 1865. Psychoanalytical sense, "to convey to others," is first recorded 1895 (implied in projective). Projection is from 1557, originally cartographical, "drawing of a map or chart according to scale;" Projector "one who forms a project" is from 1596; in the optical, camera sense it is from 1884; projectionist is from 1922.