oculomotor nerve vs third cranial nerve

oculomotor nerve and third cranial nerve both are nouns.

Word	Noun	Adjective	Verb	Adverb
oculomotor nerve	Yes	No	No	No
third cranial nerve	Yes	No	No	No

As nouns, oculomotor nerve and third cranial nerve are synonyms defined as:

oculomotor nerve and third cranial nerve: supplies extrinsic muscles of the eye

Other synonyms of oculomotor nerve include nervus oculomotorius, oculomotor.

oculomotor nerve (noun)	third cranial nerve (noun)
supplies extrinsic muscles of the eye	supplies extrinsic muscles of the eye