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Hector:”Let it be agreed between us that if Jove vouchsafes me the longer stay and I take your life, I am not to treat your dead body in any unseemly fashion, but when I have stripped you of your armour, I am to give up your body to the Achaeans. And do you likewise.”

Achilles glared at him and answered, “Fool, prate not to me about covenants. There can be no covenants between men and lions, wolves and lambs can never be of one mind, but hate each other out and out an through. Therefore there can be no understanding between you and me, nor may there be any covenants between us, till one or other shall fall and glut grim Mars with his life’s blood. Put forth all your strength; you have need now to prove yourself indeed a bold soldier and man of war. You have no more chance, and Pallas Minerva will forthwith vanquish you by my spear: you shall now pay me in full for the grief you have caused me on account of my comrades whom you have killed in battle.”

http://classics.mit.edu/Homer/iliad.22.xxii.html
An interesting note is that Achilles is helped (cheats? no such thing) by Minerva who gives him a second spear, with which he overcomes the swordbearing Hector.