Aegisthus is singled out by Zeus as an example of how men blamed the gods for what their own wickedness had spawned. Aegisthus was killed by Orestes, as Aegisthus killed Orestes' father, Agamemnon. He had been warned by Hermes that the death of the son of Atreus would be avenged by Orestes, yet this did not restrain him from killing Agamemnon.
Poseidon is angry at Odysseus for blinding his son Polyphemos.
no one knows that
Yes, in Book 9 of The Odyssey, Odysseus recounts the story of his encounter with the storm sent by Zeus that led to his being shipwrecked on the island of the Cyclops Polyphemus. This event plays a significant role in shaping Odysseus's journey and experiences throughout the epic.
Athena tells Zeus about Odysseus' situation. Zeus orders Hermes to make Calypso help Odysseus to get away. (Why did you not read book 5, your home assignment?)
to answer this question, see the recently published book by J. Marks entitled "Zeus in the Odyssey" (Harvard University Press/Center For Hellenic Studies, 2008)
Aegisthus and Clytemnestra both played a part in Agamemnon's death, however there are two versions of who physically killed Agamemnon. In book 3 of The Odyssey, it was Aegisthus who plotted and killed Agamemnon. In Aeschylus' tragedy Agamemnon, Aeschylus changed the killer to Clytemnestra. The murder was avenged by the son Orestes. The Odyssey simply mentioned that Orestes avenged Agamemnon's death by killing both Aegisthus and Clytemnestra. In Libation Bearers, Aeschylus developed a complete plot and went into details why and how Orestes accomplished his matricide. Killing one's parents is against nature in Greek mythological tradition, thus Orestes was tried in an Athenian court by an Athenian jury with Apollo as his defense lawyer, and Athena as the presiding judge. The jury was deadlocked and Athena casted the deciding vote. You may want to read The Eumenides, the last of The Oresteiatrilogy by Aeschylus to find out whether Orestes was found guilty or not!
The sirens appear in Book 12 of the Odyssey.
In Book V of the Odyssey, Hermes, the messenger of the gods, travels to Calypso's island, where he tells the nymph of Zeus' decision that she has to let Odysseus go.
In the epic poem "The Odyssey" by Homer, it is not Zeus who destroys Odysseus' ship, but rather the god of the sea, Poseidon. Poseidon's anger towards Odysseus causes him to send storms and obstacles to thwart Odysseus' journey home.
Book five of the Odyssey is Poseidon's first appearance. All of the gods except Poseidon meet at Olympus to discuss Odysseus's fate. Poseidon is angry that Odysseus escaped Calypso's island and creates a storm to sink his ship.
In the earliest poems, Poseidon is described as indeed equal to Zeus in dignity, but weaker. (Hom. Il. viii. 210, xv. 165, 186, 209; comp. xiii. 355, Od. xiii. 148.) Hence we find him angry when Zeus, by haughty words, attempts to intimidate him; nay, he even threatens his mightier brother, and once he conspired with Hera and Athena to put him into chains (Hom. Il. xv. 176, &c., 212, &c.; comp. i. 400.); but, on the other hand, we also find him yielding and submissive to Zeus (viii. 440).
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