pool table vs billiard table

pool table and billiard table both are nouns.

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

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

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

Other synonyms of pool table include snooker table.

pool table (noun)	billiard 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