Archytas (428 BC – 347 BC), was a Greek philosopher, mathematician, astronomer, statesman, strategist and commander-in-chief.
Archytas was born in Tarentum, Magna Graecia (now Italy) and was the son of Mnesagoras or Histiaeus. He was taught for a while by Philolaus and he was a teacher of mathematics to Eudoxus of Cnidus. He was scientist of the Pythagorean school, famous as the intimate of end of Plato. His and Eudoxus’ student was Menaechmus.
Sometimes he is believed to be the founder of mathematical mechanics.
According to Eutocius Archytas solved the problem of duplicating the cube in his manner with a geometric construction. Hippocrates of Chios before reduced this problem to finding mean proportionals. Archytas’ theory of proportions is treated in the book VIII. of Euclid’s Elements.
The Archytas curve, which he used in his solution of the doubling the cube problem, is named after him.