Now Diomede was a relative of the unfortunate Thersites, and he demanded that Achilles should pay to the family of the dead man the fine required by Greek law for such offenses. Achilles refused, and he was about to retire again in anger from the war, and even to return home. But Ulysses persuaded Diomede to withdraw his claim, and so made peace between the two chiefs.

Another ally, and a very powerful one, now came to help the Trojans. This was Memʹnon, king of Ethiopia, and nephew of Priam, being the son of Priam's brother Ti-thoʹnus, and Au-roʹra, goddess of the dawn. With an army of ten thousand men he arrived at Troy, and immediately entered the field to do battle with the Greeks. Again there was great slaughter of heroes on both sides. Memnon killed Antilochus, the son of Nestor, and Nestor challenged Memnon to single combat. But on account of the great age of the venerable Greek, the Ethiopian warrior declined to fight him. Achilles then challenged Memnon, and the two heroes fought in presence of both armies. The conflict was long and furious, for Memnon, too, had a suit of armor made for him by Vulcan, at the request of his goddess mother Aurora, and in strength and courage he was almost equal to Achilles. Once more, however, fortune favored the chief of the Myrmidons. The brave Memnon was slain, and Aurora bore away his body that funeral rites might be performed.

But the time was now at hand when the great warrior who so far had conquered in every fight was to meet his own doom. We have seen that Hector, as he lay dying in front of the Scæan Gate, warned Achilles that he himself should fall by the hand of Paris. This prophecy was fulfilled.

By the death of Memnon the Trojans were much discouraged. Their powerful allies had been defeated, and they were no longer able to hold the field against the enemy. Soon after the death of Memnon there was a great battle, in which the Greeks, headed by Achilles, drove them back to the city walls. Through the Scæan Gate, which lay open, the Trojans rushed in terror and confusion, the Greeks pressing on close behind. Achilles reached the gate, and was about to enter, when Paris aimed at him with an arrow. Guided by Apollo, the weapon struck the hero in the heel, the only part in which he could be fatally wounded.

The warrior fell to the ground, whereupon the Trojan prince hastened up and slew him with his sword. A terrific struggle took place over the body of the dead chief, but by mighty efforts Ajax Telamon and Ulysses succeeded in gaining possession of it, and carrying it to the Grecian camp. Deep was the grief of the Greeks at the death of their great champion. Magnificent funeral rites and games were celebrated in his honor, his goddess mother, Thetis, presiding over the ceremonies. After the body had been burned in the customary manner, the bones were placed in a vase of gold, made by Vulcan, and a vast mound was raised on the shore as a monument to the hero.

The sacred army of the warlike Greeks
Built up a tomb magnificently vast
Upon a cape of the broad Hellespont,
There to be seen, far off upon the deep,
By those who now are born, or shall be born
In future years.

Bryant, Odyssey, Book XXIV.

The armor of Achilles was offered as a reward for the warrior who had fought most bravely in rescuing the body, and who had done most harm to the Trojans. To decide the question which of the Greek chiefs deserved this honor, it was resolved to take the votes of the Trojan prisoners then in the Greek camp, who had witnessed the struggle at the Scæan Gate. The majority of votes were in favor of Ulysses, and to him, therefore, the splendid shield and corselet and helmet and greaves, made by Vulcan for the son of Thetis, were given. Ajax was so disappointed and grieved at not having obtained the coveted prize that he became insane, and in his frenzy he slew himself with his own sword.

The Greeks had now lost their two most powerful warriors, and they began to think that it was impossible for them to take Troy by force, and that they must try other methods. So the wise Ulysses then set his brain to work to devise some stratagem by which the city might be taken. The first thing he did was to capture the Trojan prince and soothsayer, Helenus, who had gone out from the city to offer sacrifices in the temple of Apollo on Mount Ida. Calchas, the Greek soothsayer, had said that Helenus was the only mortal who knew by what means Troy could be conquered, and so Ulysses made him prisoner and threatened him with death if he did not tell.

Then Helenus told the Ithacan chief that before Troy could be taken three things must be done. First, he said, the Greeks must get the arrows of Hercules; next, they must carry away the sacred Palladium, for as long as it remained within the walls the city was safe; and, lastly, they must have the help of the son of Achilles.