Vitae philosophorum
Diogenes Laertius
Diogenes Laertius. Hicks, R. D., editor. Cambridge, MA.: Harvard University Press; London: William Heinemann Ltd., 1925.
He was the first to bring mechanics to a system by applying mathematical principles; he also first
V2_397
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.)