billiard table vs pool table

billiard table and pool table both are nouns.

Word	Noun	Adjective	Verb	Adverb
billiard table	Yes	No	No	No
pool table	Yes	No	No	No

As nouns, billiard table and pool table are synonyms defined as:

billiard table and pool table: game equipment consisting of a heavy table on which pool is played

Other synonyms of billiard table include snooker table.

billiard table (noun)	pool table (noun)
game equipment consisting of a heavy table on which pool is played	game equipment consisting of a heavy table on which pool is played