transitive vs transitivity

transitive and transitivity both are nouns.

Word	Noun	Adjective	Verb	Adverb
transitive	Yes	Yes	No	No
transitivity	Yes	No	No	No

transitive (noun)	transitivity (noun)
a verb (or verb construction) that requires an object in order to be grammatical	the grammatical relation created by a transitive verb
	(logic and mathematics) a relation between three elements such that if it holds between the first and second and it also holds between the second and third it must necessarily hold between the first and third

transitive (adjective)	transitivity (adjective)
designating a verb that requires a direct object to complete the meaning