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Dionysodorus gave a solution by means of conics of the auxiliary cubic equation to which Archimedes reduced this problem; he also found the solid content of a tore or anchor-ring. Zenodorus was the author of a treatise on Isometric figures, the problem in which was to compare the content of different figures, plane or solid, having equal contours or surfaces respectively.

And Dionysodorus sent for my sister to come to the prison, for she was his wife. And when she knew this she went, dressed in a black garment, as was fitting on account of the terrible fate of her husband. 41.

In the presence of my sister, Dionysodorus left his property as he thought best, and said of this man Agoratus that he was responsible for his death, and charged me and Dionysius, his brother, and all his friends to be revenged on Agoratus in his behalf. 42.

The philosopher Chrysippus, O Polycrates, quotes an ancient proverb, not as really it should be, apprehending, I suppose, that it sounded too harshly, but so as he thought it would run best, in these words, Who praise their father but the generous sons? But Dionysodorus the Troezenian proves him to be wrong, and restores the true reading, which is this,

For my brother-in-law, Dionysodorus, and many others whose names you shall hear, being men well disposed to the people, he put to death in the time of the Thirty, informing against them. Doing these things he injured me not a little and all who have come here, and greatly injured the whole state in common, as I think, by depriving it of such men. 3.

Now while we are sadly meditating our inability to batter our way through this obstacle to perfect clarity, the poets championing the opposing views, like Plato's sophistic brothers, Euthydemus and Dionysodorus, proceed to knock us from one to the other side, justifying their self-centered verse by either theory. Do we maintain that the poet should reflect the life about him?

"Dost thou remember the day when, Dionysodorus being archon, an ugly little Jew, speaking the Greek of the Syrians, came hither, passed beneath thy porch without understanding thee, misread thy inscriptions, and imagined that he had discovered within thy walls an altar dedicated to what he called the Unknown God?

Having heard that there was arrived at Athens one Dionysodorus, who undertook to teach the art of war, he made the following discourse to one of his friends, who pretended to one of the highest posts in the army:

Euthydemus and his brother Dionysodorus are two sophists by trade to whom words mean nothing at all; truth and falsehood are identical, contradiction being an impossibility. As language is meaningless, Socrates himself is quickly reduced to impotence, recovering with difficulty. Plato was no doubt satirising the misuse of the new philosophy which was becoming so popular with young men.

I am inclined to agree with those who believe that our Odyssey was very largely composed in Athens, so that in most of the poem Athena is original. Plato, Euthyd. 302 c, quoted above, continues: Socrates. 'We have Zeus with the names Herkeios and Phratrios, but not Patrôos, and Athena Phratria. Dionysodorus. 'Well that is enough. You have, apparently, Apollo and Zeus and Athena? Socrates.