What were the terms in note Bilbo found on his mantelpiece hobbit?

You're likely referring to the note Bilbo finds in *The Hobbit* by J.R.R. Tolkien. The note, which is written in the Dwarvish language, reads:

"There and Back Again, a Hobbit's Tale"

This is actually the title of the book itself, and it is not written in Dwarvish but in English. The note was written by Thorin Oakenshield, the leader of the dwarves who came to Bilbo's door, and it was intended to be a brief explanation of their quest.

While Bilbo is unsure what it means at first, he eventually learns that the dwarves are seeking to reclaim their treasure from Smaug, the dragon who has been guarding it in the Lonely Mountain. The phrase "There and Back Again" is meant to represent the journey they are about to embark on – a journey that will take them to the Lonely Mountain and back to their homeland.