Fear fell upon Hector as he beheld Achilles. Thus, Hector dared not stay longer where he was but fled in dismay from before the gates, while Achilles darted after him at his utmost speed. As a mountain falcon, swiftest of all birds, swoops down upon some cowering dove--the dove flies before him but the falcon with a shrill scream follows close after, resolved to have her--even so did Achilles make straight for Hector with all his might, while Hector fled under the Trojan wall as fast as his limbs could take him.
On they flew along the wagon-road that ran hard by under the wall, past the lookout station, and past the weather-beaten wild fig-tree, till they came to two fair springs which feed the river Scamander. One of these two springs is warm, and steam rises from it as smoke from a burning fire, but the other even in summer is as cold as hail or snow, or the ice that forms on water. Here, hard by the springs, are the goodly washing-troughs of stone, where in the time of peace before the coming of the Achaeans the wives and fair daughters of the Trojans used to wash their clothes. Past these did they fly, the one in front and the other giving haste behind him: good was the man that fled, but better far was he that followed after, and swiftly indeed did they run, for the prize was no mere beast for sacrifice or bullock's hide, as it might be for a common foot-race, but they ran for their Lives. As horses in a chariot race speed round the turning-posts when they are running for some great prize--a tripod or woman--at the games in honor of some dead hero, so did these two run full speed three times round the city of Priam....
Achilles was still in full pursuit of Hector, as a hound chasing a fawn which he has started from its covert on the mountains, and hunts through glade and thicket. The fawn may try to elude him by crouching under cover of a bush, but he will scent her out and follow her up until he gets her--even so there was no escape for Hector from the fleet son of Peleus. Whenever he made a set to get near the Dardanian gates and under the walls, that his people might help him by showering down weapons from above, Achilles would gain on him and head him back towards the plain, keeping himself always on the city side. As a man in a dream who fails to lay hands upon another whom he is pursuing--the one cannot escape nor the other overtake--even so neither could Achilles come up with Hector, nor Hector break away from Achilles; nevertheless he might even yet have escaped death had not the time come when Apollo, who thus far had sustained his strength and nerved his running, was now no longer to stay by him.