Bilbo wants a looking glass (a mirror) in order to see himself in the elvish armor he attains from Thorin in the old dwarvish palace under the mountain. He thinks he must look rather ridiculous as far as hobbits should look, but still has a desire to see himself.
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1. Bilbo is alone with Gollum while exchanging riddles (Gollum wants to eat him) 2. Bilbo is alone with Smaug trying to think of clever riddle names 3. Bilbo is alone with the spiders fighting them by himself
they are looking for a 14th member for a quest to kill the awful smaug(the dragon)
He places a couple of runes. They can be seen in one of Tolkien's illustrations. They basically say that a burglar is looking for work.
Looking Glass
Bilbo said, talking to himself, "what have i got in my pocket?" (it was the Ring). Gollum thought it was a riddle and Bilbo decided to make it one. he gave Gollum three chances to guess and gollum lost after four. then gollum went "to get something" (it was the ring), and Bilbo thought he was abandoned and left with the ring on. Gollum thought Bilbo knew the way out and he wanted to follow him, realizing Bilbo had the ring. Bilbo saw Gollum racing towards the gate and followed him to safety.