Available Definitions:
1) a. - Occupied; employed; busy.
2) a. - Pledged; promised; especially, having the affections pledged; promised in marriage; affianced; betrothed.
3) a. - Greatly interested; of awakened zeal; earnest.
4) a. - Involved; esp., involved in a hostile encounter; as, the engaged ships continued the fight.
5) v. t. - To enter into contest with; to encounter; to bring to conflict.
6) v. t. - To come into gear with; as, the teeth of one cogwheel engage those of another, or one part of a clutch engages the other part.
7) v. i. - To promise or pledge one's self; to enter into an obligation; to become bound; to warrant.
8) v. i. - To embark in a business; to take a part; to employ or involve one's self; to devote attention and effort; to enlist; as, to engage in controversy.
9) v. i. - To enter into conflict; to join battle; as, the armies engaged in a general battle.
10) v. i. - To be in gear, as two cogwheels working together.