Nemean 6.48-53

And it [= the name of the lineage of the Aiakidai, especially the name of Achilles] leapt at the Ethiopians, now that Memnon would not be coming back safely [to his troops]. Heavy combat fell upon them [= the Ethiopians] in the person of Achilles hitting the ground as he stepped down [kata-bainein] from his chariot. That was when he killed [Memnon] the son of the luminous dawn-goddess, with the tip of his raging spear.

Pindar Nemean 6.48-53