Read the excerpt from the iliad of homer.

"but now my death is upon me.

let me at least not die without a struggle, inglorious,

but do some big thing first, that men to come shall know of it.”

so [hektor] spoke, and pulling out the sharp sword that was slung

at the hollow of his side, huge and heavy, and gathering

himself together, he made his swoop . .

how does the excerpt reveal ancient greek beliefs?

by illustrating hektor’s quest for heroism
by showing the triumph of hektor’s physical strength
by showing a deity’s involvement in human lives
by illustrating a community’s respect for funeral rites

By illustrating Hektor’s quest for heroism.

Explanation:

The great Greek epic narrative poem "The Illiad" by Homer tells the tales of the Trojan War. Set during the Trojan war, it details the events of the war and the heroic deeds of the characters.

From the passage provided in the question, it shows the scene before Hektor's death at the hands of Achilles. He's been wounded deeply and knows he won't survive. By saying that he does not want to "die without a struggle, inglorious,  but do some big thing first, that men to come shall know of it”, it shows his want/ quest to attain heroic status with his death. This speech shows his desire to die a hero.

the idealization of the rural landscape ; admiration for the beauty of nature ; focus on an individual's inner concerns