book of his History of Alexander; and the part of the science to which Pythagoras applied himself above all others was arithmetic. He also discovered the numerical relation of sounds on a single string: he also studied medicine. And Apollodorus, the logician, records of him, that he sacrificed a hecatomb, when he had discovered that the square of the hypothenuse of a right-angled triangle is equal to the squares of the sides containing the right angle. And there is an epigram which is couched in the following terms:—
XII. He is also said to have been the first man who trained athletes on meat; and Eurymenes was the first man, according to the statement of Phavorinus, in the third book of his Commentaries, who ever did submit to this diet, as before that time men used to train themselves on dry figs and moist cheese, and wheaten bread; as the same Phavorinus informs us in the eighth book of his Universal History. But some authors state, that a trainer of the name of Pythagoras certainly did train his athletes on this system, but that it was not our philosopher; for that he even forbade men to kill animals at all, much less would have allowed his disciples to eat them, as having a right to live in common with mankind. And this was his pretext; but in reality he prohibited the eating of animals, because he wished to train and accustom men to simplicity of life, so that all their food should be easily procurable, as it would be, if they ate only such things as required no fire to dress them, and if they drank plain water; for from this diet they would derive health of body and acuteness of intellect.
The only altar at which he worshipped was that of Apollo the Father, at Delos, which is at the back of the altar of Ceratinus, because wheat, and barley, and cheese-cakes are the