flatbed press vs printing press

flatbed press and printing press both are nouns.

Word	Noun	Adjective	Verb	Adverb
flatbed press	Yes	No	No	No
printing press	Yes	No	No	No

As nouns, printing press is a hypernym of flatbed press; that is, printing press is a word with a broader meaning than flatbed press:

flatbed press: a printing press where the type is carried on a flat bed under a cylinder that holds paper and rolls over the type
printing press: a machine used for printing

Other hypernyms of flatbed press include press.

flatbed press (noun)	printing press (noun)
a printing press where the type is carried on a flat bed under a cylinder that holds paper and rolls over the type	a machine used for printing