term vs middle term

term and middle term both are nouns.

Word	Noun	Adjective	Verb	Adverb
term	Yes	No	Yes	No
middle term	Yes	No	No	No

As nouns, middle term is a hyponym of term; that is, middle term is a word with a more specific, narrower meaning than term:

term: one of the substantive phrases in a logical proposition
middle term: the term in a syllogism that is common to both premises and excluded from the conclusion

Other hyponyms of term include subject, predicate, referent, relatum, categorem, categoreme, major term, minor term.

term (noun)	middle term (noun)
(architecture) a statue or a human bust or an animal carved out of the top of a square pillar; originally used as a boundary marker in ancient Rome	the term in a syllogism that is common to both premises and excluded from the conclusion
any distinct quantity contained in a polynomial
a word or expression used for some particular thing
one of the substantive phrases in a logical proposition
(usually plural) a statement of what is required as part of an agreement
a limited period of time
the end of gestation or point at which birth is imminent

term (verb)	middle term (verb)
name formally or designate with a term