Homer, Iliad 1.265
and Theseus, son of Aegeus, a man like the immortals (original Greek).
Homer, Iliad 14.317-318
nay, not when I was seized with love of the wife of Ixion, who bare Peirithous, the peer of the gods in counsel; nor of Danaë of the fair ankles, daughter of Acrisius (original Greek)
Homer, Iliad 2.740-744
leader Polypoetes, staunch in fight, son of Peirithous, whom immortal Zeus begat— even him whom glorious Hippodameia conceived to Peirithous on the day when he got him vengeance on the shaggy centaurs, and thrust them forth from Pelium, and drave them to the Aethices (original Greek).
Homer, Odyssey 21.295-303
It was wine that made foolish even the centaur, glorious Eurytion, in the hall of greathearted Peirithous, when he went to the Lapithae: and when his heart had been made foolish with wine, in his madness he wrought evil in the house of Peirithous. Then grief seized the heroes,  and they leapt up and dragged him forth through the gateway, when they had shorn off his ears and his nostrils with the pitiless bronze, and he, made foolish in heart, went his way, bearing with him the curse of his sin in the folly of his heart (original Greek).
Hesiodic Corpus, Aspis 178-190
And there was the strife of the Lapith spearmen gathered round the prince Caeneus and Dryas and Peirithous,  with Hopleus, Exadius, Phalereus, and Prolochus, Mopsus the son of Ampyce of Titaresia, a scion of Ares, and Theseus, the son of Aegeus, like the deathless gods. These were of silver, and had armor of gold upon their bodies. And the Centaurs were gathered against them on the other side  with Petraeus and Asbolus the diviner, Arctus, and Ureus, and black-haired Mimas, and the two sons of Peuceus, Perimedes and Dryalus: these were of silver, and they had pinetrees of gold in their hands, and they were rushing together as though they were alive  and striking at one another hand to hand with spears and with pines (original Greek).
Florence, Museo Archeologico Nazionale 4209: Attic black-figure volute krater from Chiusi (François Krater) with Centauromachy with Theseus (his name and shield preserved on upper illustration, far left)
Edited by Aaron J. Ivey, Graduate Assistant, Dept. of Classics, Univ. of Georgia, June 2016, and by Frances Van Keuren, Prof. Emerita, Lamar Dodd School of Art, Univ. of Georgia, July 2016.