Vitae philosophorum

Diogenes Laertius

Diogenes Laertius. Hicks, R. D., editor. Cambridge, MA.: Harvard University Press; London: William Heinemann Ltd., 1925.

Four men have borne the name of Archytas: (1) our subject; (2) a musician, of Mytilene; (3) the compiler of a work On Agriculture; (4) a writer of epigrams. Some speak of a fifth, an architect, to whom is attributed a book On Mechanism which begins like this: These things I learnt from Teucer of Carthage. A tale is told of the musician that, when it was cast in his teeth that he could not be heard, he replied, Well, my instrument shall speak for me and win the day.

Aristoxenus says that our Pythagorean was never defeated during his whole generalship, though he once resigned it owing to bad feeling against him, whereupon the army at once fell into the hands of the enemy.

He was the first to bring mechanics to a system by applying mathematical principles; he also first

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employed mechanical motion in a geometrical construction, namely, when he tried, by means of a section of a half-cylinder, to find two mean proportionals in order to duplicate the cube.[*](Cf. T. L. Heath, History of Greek Mathematics, i. 246-249.) In geometry, too, he was the first to discover the cube, as Plato says in the Republic.[*](528 b.)