project (n.)youdaoicibaDictYouDict[project 词源字典]
c. 1400, "a plan, draft, scheme," from Latin proiectum "something thrown forth," noun use of neuter of proiectus, past participle of proicere "stretch out, throw forth," from pro- "forward" (see pro-) + combining form of iacere (past participle iactus) "to throw" (see jet (v.)).

Meaning "scheme, proposal, mental plan" is from c. 1600. Meaning "group of low-rent apartment buildings" first recorded 1935, American English, short for housing project (1932). Related: Projects. Project manager attested from 1913.[project etymology, project origin, 英语词源]
project (v.)youdaoicibaDictYouDict
late 15c., "to plan," from Latin proiectus, past participle of proicere (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, "attribute to another (unconsciously)" is from 1895 (implied in a use of projective). Meaning "convey to others by one's manner" is recorded by 1955. Related: Projected; projecting.