Quotes about Eratosthenes
10 Sourced Quotes
Menaechmus, a pupil of Eudoxus, and a contemporary of Plato, found the two mean proportionals by means of conic sections, in two ways, (α) by the intersection of two parabolas, the equations of which in Cartesian co-ordinates would be x2=ay, y2=bx, and (β) by the intersection of a parabola and a rectangular hyperbola, the corresponding equations being x2=ay, and xy=ab respectively. It would appear that it was in the effort to solve this problem that Menaechmus discovered the conic sections, which are called, in an epigram by Eratosthenes, "the triads of Menaechmus".