\Tran"si*tive\, a. [L. transitivus: cf. F. transitif. See {Transient}.] 1. Having the power of making a transit, or passage. [R.] --Bacon. 2. Effected by transference of signification. By far the greater part of the transitive or derivative applications of words depend on casual and unaccountable caprices of the feelings or the fancy. --Stewart. 3. (Gram.) Passing over to an object; expressing an action which is not limited to the agent or subject, but which requires an object to complete the sense; as, a transitive verb, for example, he holds the book. -- {Tran"si*tive*ly}, adv. -- {Tran"si*tive*ness}, n.
A relation R is transitive if x R y & y R z => x R z. Equivalence relations, pre-, partial and total orders are all transitive.