III. His theory was, that everything was produced by harmony and necessity. And he was the first person who affirmed that the earth moved in a circle; though some attribute the assertion of this principle to Icetas of Syracuse.
IV. He wrote one book, which Hermippus reports, on the authority of some unknown writer, that Plato the philosopher purchased when he was in Sicily (having come thither to the court of Dionysius), of the relations of Philolaus, for forty Alexandrian minæ of silver; and that from this book he copied his Timæus. But others say that Plato received it as a present, after having obtained his liberty for a young man, one of the disciples of Philolaus, who had been arrested by Dionysius. Demetrius, in his treatise on people of the same name, says that he was the first of the Pythagoreans who wrote a treatise on Natural Philosophy; and it begins thus:—
“But nature in the world has been composed of bodies infinite and finite, and so is the whole world and all that is in it.”
LIFE OF EUDOXUS.
I. Eudoxus was the son of Æschines, and a native of Cnidus. He was an astronomer, a geometrician, a physician, and a lawgiver. In geometry he was a pupil of Archytas, and in medicine of Philistion, the Sicilian, as Callimachus relates in his Tablets; and Sotion, in his Successions, asserts that he was likewise a pupil of Plato; for that, when he was twenty-three years of age, and in very narrow circumstances, he came to Athens with Theomedon the physician, by whom he was chiefly supported, being attracted by the reputation of the Socratic school. Some say that his attachment to Theomedon was cemented by nearer ties. And when he had arrived at Piræus, he went up to the city every day, and when he had heard the Sophists lecture he returned. And having spent two months there, he returned home again; and being again aided by the contributions of his friends, he set sail for Egypt, with Chrysippus the physician, bearing letters of introduction from Agesilaus to Nectanabis, and that he recommended him to the priests.
II. And having remained there a year and four months, he shaved his eyebrows after the manner of the Egyptian priests, and composed, as it is said, the treatise called the Octaeteris. From thence he went to Cyzicus, and to the Propontis, in both of which places he lived as a Sophist; he also went to the court of Mausolus. And then, in this manner, he returned again to Athens, having a great many disciples with him, for the sake, as some say, of annoying Plato, because he had originally discarded him from his school. Some say, that when Plato gave an entertainment on one occasion, Eudoxus, as the guests were very numerous, introduced the fashion of sitting in a semicircle.
Nicomachus, the son of Aristotle, affirms that he used to say, that pleasure was the good.
III. He was received in his own country with great honours, as the decree that was passed respecting him shows. He was also accounted very illustrious among the Greeks, having given laws to his own fellow citizens, as Hermippus tells us in the fourth book of his account of the Seven Wise Men; and having also written treatises on Astronomy and Geometry, and several other considerable works.
He had three daughters, Actis, Philtis, and Delphis. And Eratosthenes asserts, in his books addressed to Baton, that he also composed dialogues entitled Dialogues of Dogs; others say that these were written by some Egyptians, in their own language, and that Eudoxus translated them, and published them in Greece. One of his pupils was Chrysippus, of Cnidos, son of Erineus, who learnt of him all that he knew about the Gods, and the world, and the heavenly bodies; and who learnt medicine from Philistion the Sicilian. He also left some very admirable Reminiscences.
IV. He had a son of the name of Aristagoras, who was the teacher of Chrysippus, the son of Aëthlius; he was the author of a work on Remedies for the Eyes, as speculations on natural philosophy had come very much under his notice.