I'd say the obvious thing is that Polyphemus trapped Odysseus and his men in his cave and threatened to eat them. Other than that Odysseus' cleverness protects them fromanything else Polyphemus tries to do. He was rash when he shouted out his real name to the cyclops though as Polyphemus' father is Poseidon and he calls upon him to avenge his blindness.
The Cyclops traps Odysseus and his men in his cave and starts eating them one by one. This puts them in danger as they are unable to escape and the Cyclops is much stronger and larger than they are.
They can't escape because the cave entrance was blocked off by a hugh rock and only the cyclops was strong enough to move
Odysseus is curious as to what type of men the cyclops are, and perhaps wishes to receive gifts from the cyclops. He does not realize the danger of the cyclops until it is too late.
The Cyclops ate Odysseus' men.
He ate Odysseus's men.
Cyclops proves he has no fear of Odysseus by taunting him and boasting about his strength and power, even after Odysseus blinds him and narrowly escapes. Despite the danger Odysseus presents, Cyclops remains defiant and unafraid, showing his arrogance and lack of respect for the hero.
Polyphemus is the name of the giant cyclops that Odysseus and his men encounter.
Odysseus and his men wait in the cyclops cave, as Odysseus is curious as to who the cyclops is. As Polyphemus brings in his sheep, he spots the men in the cave.
The cyclops Polyphemus imprisons Odysseus and his men because to him, the men are tasty.
Odysseus was curious about the type of men the Cyclops were.
That Cyclops will eat Odysseus last of the men.
Odysseus escaped the Cyclops by offering him wine to drink. The Cyclops got drunk and passed out and Odysseus and his men then fled.
Polyphemus finds Odysseus' men tasty.
Odysseus' men are meat, and thus tastier and more nutritious than goats' milk. The cyclops live as men where might makes right, and the cyclops are wild and solitary.