(Ἀρχύτας), a Greek of TARENTUM, who was distinguished as a philosopher, mathematician. general. and statesman and was no less admired for his integrity and virtue, both in public and in private life. Little is known of his history, since the lives of him by Aristoxenus and Aristotle (Athen. 12.545) are lost. A brief account of him is given by Diogenes Laertius. (8.79-83.) His father's name was Mnasarchus, Mnesagoras, or Histiaeus. The time when he lived is disputed, but it was probably about 400 B. C., and onwards, so that he was contemporary with Plato, whose life he is said to have saved by his influence with the tyrant Dionysius (Tzetzes, Chil. 10.359, 11.362; Suidas, s. v. Ἀρχύτας), and with whom he kept up a familiar intercourse. (Cic. de Senect. 12.) Two letters which are said to have passed between them are preserved by Diogenes (l.c. ; Plato, Ep. 9). He was seven times the general of his city, though it was the custom for the office to be held for no more than a year, and he commanded in several campaigns, in all of which he was victorious. Civil affairs of the greatest consequence were entrusted to him by his fellow-citizens. After a life which secured to him a place among the very greatest men of antiquity, he was drowned while upon a voyage on the Adriatic. (Hor. Carm. 1.28.) He was greatly admired for his domestic virtues. He paid particular attention to the comfort and education of his slaves. The interest which he took in the education of children is proved by the mention of a child's rattle (πλαταγή) among his mechanical inventions. (Aelian, Ael. VH 14.19; Aristot. Pol. 8.6.1.)

As a philosopher, he belonged to the Pythagorean school, and he appears to have been himself the founder of a new sect. Like the Pythagoreans in general, he paid much attention to mathematics. Horace (l.c.) calls him "maris et terrae numeroque carentis arenae Mensorem." He solved the problem of the doubling of the cube, (Vitruv. ix. praef.) and invented the method of analytical geometry. He was the first who applied the principles of mathematics to mechanics. To his theoretical science he added the skill of a practical mechanician, and constructed various machines and automatons, among which his wooden flying dove in particular was the wonder of antiquity. (Gel. 10.12.) He also applied mathematics with success to musical science, and even to metaphysical philosophy. His influence as a philosopher was so great, that Plato was undoubtedly indebted to him for some of his views; and Aristotle is thought by some writers to have borrowed the idea of his categories, as well as some of his ethical principles, from Archytas.