mid-15c., "action of endowing," from endow + -ment. Meaning "property with which an institution or person is endowed" is from 1590s; that of "gift, power, advantage" is early 17c.
late 15c., "constraint, compulsion," from Old French enforcement "strengthening, fortification; rape; compulsion, coercion;" from enforcier; see enforce + -ment. Meaning "compelling of obedience to a law, etc." is from 1680s.
1620s, "formal promise," from engage + -ment. Meaning "a battle or fight between armies or fleets" is from 1660s; sense of "state of having entered into a promise of marriage" is from 1742; meaning "appointment" is from 1806. Engagement ring attested by 1840.
1530s, "a release from confinement," from enlarge in the secondary Middle English sense "release a prisoner" (mid-15c.) + -ment. Meaning "act of increasing in size" is from 1560s. Photographic sense "picture of a larger size than the negative from which it was made" is from 1866.