endodontia vs dental medicine

endodontia and dental medicine both are nouns.

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

As nouns, dental medicine is a hypernym of endodontia; that is, dental medicine is a word with a broader meaning than endodontia:

endodontia: the branch of dentistry dealing with diseases of the dental pulp
dental medicine: the branch of medicine dealing with the anatomy and development and diseases of the teeth

Other hypernyms of endodontia include dentistry, odontology.

endodontia (noun)	dental medicine (noun)
the branch of dentistry dealing with diseases of the dental pulp	the branch of medicine dealing with the anatomy and development and diseases of the teeth