En-gāged', p. a.

participial adjective

p. a. 1. Pledged; promised; especially, having the affections pledged; promised in marriage; affianced; betrothed. 2. Greatly interested; of awakened zeal; earnest. Engaged columns (Arch.), columns sunk partly into the wall to which they are attached, and standing out at least one half of their thickness. Grill. — Engaged wheels (Mech.), wheels in gear with each other. The driver is the engaging wheel, and the follower is the wheel engaged. Tomlinson.

An architectural engraving of two engaged columns supporting an ornate entablature, with masonry visible between them.
Engaged Columns.