odontology vs dental medicine

odontology and dental medicine both are nouns.

Word	Noun	Adjective	Verb	Adverb
odontology	Yes	No	No	No
dental medicine	Yes	No	No	No

As nouns, odontology and dental medicine are synonyms defined as:

odontology and dental medicine: the branch of medicine dealing with the anatomy and development and diseases of the teeth

Other synonyms of odontology include dentistry.

odontology (noun)	dental medicine (noun)
the branch of medicine dealing with the anatomy and development and diseases of the teeth	the branch of medicine dealing with the anatomy and development and diseases of the teeth