maxillary artery vs arteria maxillaris

maxillary artery and arteria maxillaris both are nouns.

Word	Noun	Adjective	Verb	Adverb
maxillary artery	Yes	No	No	No
arteria maxillaris	Yes	No	No	No

As nouns, maxillary artery and arteria maxillaris are synonyms defined as:

maxillary artery and arteria maxillaris: either of two arteries branching from the external carotid artery and supplying structure of the face

maxillary artery (noun)	arteria maxillaris (noun)
either of two arteries branching from the external carotid artery and supplying structure of the face	either of two arteries branching from the external carotid artery and supplying structure of the face