by the bye[adverb]Synonyms: incidentally, by the way, in passing, obiter, parenthetically
 [TahlilGaran] English Synonym Dictionary ▲
 by the bye{adv. phr.} Just as some added fact or news; as something else that I think of. - Used to introduce something related to the general subject, or brought to mind by it. 
 We shall expect you; by the way, dinner will be at eight.
 We shall expect you; by the way, dinner will be at eight.  I was reading when the earthquake occurred, and, by the way, it was The Last Days of Pompeii that I was reading.
 I was reading when the earthquake occurred, and, by the way, it was The Last Days of Pompeii that I was reading.See: BY THE WAY. 
 [TahlilGaran] English Idioms Dictionary ▲