adage vs byword

adage and byword both are nouns.

Word	Noun	Adjective	Verb	Adverb
adage	Yes	No	No	No
byword	Yes	No	No	No

As nouns, adage and byword are synonyms defined as:

adage and byword: a condensed but memorable saying embodying some important fact of experience that is taken as true by many people

Other synonyms of adage include proverb, saw.

adage (noun)	byword (noun)
a condensed but memorable saying embodying some important fact of experience that is taken as true by many people	a condensed but memorable saying embodying some important fact of experience that is taken as true by many people