early 15c., "a joint promise to abide by an arbiter's decision," from Old French compromis (13c.), from Late Latin compromissus, past participle of compromittere "to make a mutual promise" (to abide by the arbiter's decision), from com "with, together" (see com-) + promittere "to send forth; let go; foretell; assure beforehand, promise," from pro "before" (from PIE root *per- (1) "forward," hence "in front of, before") + mittere "to release, let go; send, throw" (see mission).

The sense of "a coming to terms, a settlement of differences by mutual concessions" (mid-15c.) is from extension to the settlement itself. The meaning "that which results from such an agreement" is from 1510s.

"fly straight up, spring like a rocket," 1860, from rocket (n.2). Earlier "to attack with rockets" (1799). Meaning "send up by a rocket" is from 1837. Related: Rocketed; rocketing.

"eucharistic service," Middle English messe, masse, from Old English mæsse, from Vulgar Latin *messa "eucharistic service," literally "dismissal," from Late Latin missa "dismissal," fem. past participle of mittere "to let go, send" (see mission).

Probably so called from the concluding words of the service, Ite, missa est, "Go, (the prayer) has been sent," or "Go, it is the dismissal." The Latin word sometimes was glossed in Old English as sendnes "send-ness." Meaning "musical setting of certain parts of the Catholic (or Anglican) liturgy" is by 1590s.

late 14c., in logic, "a previous proposition from which another follows, a judgment causing another judgment," from Old French premisse (14c.), from Medieval Latin praemissa (propositio or sententia) "(the proposition) set before," noun use of fem. past participle of Latin praemittere "send forward, put before," from prae "before" (see pre-) + mittere "to send" (see mission).

In legal documents it meant "matter previously stated" (early 15c.), which in deeds or wills often was a description of a house or building, hence the extended meaning "house or building, with grounds" (1730).

in law, "give up, surrender, make over to another, grant back," late 15c., from noun remise, from Old French remise, past participle of remettre "to send back," from Latin remittere (see remit). Related: Remised; remising.

1510s, "neglect to do, leave undone," from Latin praetermittere "let pass, overlook," from praeter- (see preter-) + mittere "to release, let go; send, throw" (see mission). From 1530s as "intentionally omit, leave unnoticed or unmentioned." Related: Pretermitted; pretermitting.

1510s, "to send off, send to a destination," usually implying urgent importance or haste, from Spanish despachar "expedite, hasten" or cognate Italian dispacciare "to dispatch." For first element, see dis-.

The second element apparently has been confused or corrupted, and its exact source and meaning is uncertain. One proposal is that it is Vulgar Latin *pactare "to fasten, fix" or *pactiare. Another says it is Latin -pedicare "to entrap" (from Latin pedica "shackle;" see impeach), and the Spanish and Italian words seem to be related to (perhaps opposites of) Old Provençal empachar "impede." See OED for full discussion.

Meaning "get rid of promptly by killing" is attested from 1520s; that of "attend to, finish, bring to an end, accomplish" is from 1530s. Related: Dispatched; dispatching.

c. 1400, promisse, "a solemn pledge; a vow; a declaration in reference to the future made by one person to another, assuring the latter that the former will do, or not do, a specified act," from Old French promesse "promise, guarantee, assurance" (13c.) and directly from Latin promissum "a promise," noun use of neuter past participle of promittere "send forth; let go; foretell; assure beforehand, promise," from pro "before" (from PIE root *per- (1) "forward," hence "in front of, before") + mittere "to release, let go; send, throw" (see mission).

Sense of "that which affords a basis for hope or expectation of future excellence or distinction" is by 1530s.