You searched for: “a general term for a smaller structure given off by a larger one”
A unit related to: “a general term for a smaller structure given off by a larger one”
rami-, ram-
(Latin: branch, branches, or a forked structure; ramus (singular), rami (plural); a general term for a smaller structure given off by a larger one, or into which the larger structure; such as, a blood vessel or nerve, divides)