(1):
(n.) The assignment of a bastard child to some one as its father; affiliation.
(2):
(n.) One that is derived from a parent or source; an offshoot; as, the filiations are from a common stock.
(3):
(n.) Descent from, or as if from, a parent; relationship like that of a son; as, to determine the filiation of a language.
(4):
(n.) The relationship of a son or child to a parent, esp. to a father.