...mathematics1.. Hippocrates of Chios, next, who discovered the quadrature of the lune, and Theodorus of Gyrene became distinguished geometers, indeed Hippocrates...learning, begun by Plato, on the subject of the (golden) section2, to which be applied the analytical method. Amyclas of Heraelea, one of Plato's companions,...

...Eudoxus as astronomer, physician, legislator, as well as geometer. The Eudemian Summary says that Eudoxus "first increased the number of general theorems, added...the learning, begun by Plato, on the subject of the section, to which he applied the analytical method." By this ' section' is meant, no doubt, the "golden...

...Helicon. The fame of the Academy is largely due to these. The Eudemian Summary says that Eudoxus " first increased the number of general theorems, added...the learning, begun by Plato, on the subject of the section, to which he applied the analytic method." By this "section" is meant, no doubt, the "golden...

...exhibited the remarkable connexion between mathematics and philosophy. To this time belong also Leodatnas the Thasian and Archytas of Tarentum and Theaetetus...analytical method. Amyclas of Heraclea, one of Plato's 1Gow, p. 145. 1 Ibid., p. 146. 3 Ibid., p. 149. 4 Ibid., pp. 135-137 (ref. Proclus, ed. Friedlein)...

...obtaining important results in solid geometry. In the words of the register, "Eudoxus of Cnidos . . . first increased the number of general theorems, added...learning begun by Plato on the subject of the (golden) section, to which he applied the analytical method." To him was formerly attributed the proof that...

...younger than Anaxagoras. Plato mentions them both in his ' Rivals,' as having won fame in mathematics1. Hippocrates of Chios, next, who discovered the quadrature...learning, begun by Plato, on the subject of the (golden) section*, to which he applied the analytical method. Amyclas of Heraclea, one of Plato's companions,...

...the work of t&eir predecessors : for Leon wrote an /Elements' more carefully designed,, both in tlie number and the utility of its proofs, and he- invented...learning, begun by Plato, on the subject of the (golden) section2, to which he applied the analytical method. Amyclas of Heraclea, one of Plato's companions,...

...test for determining) when the proposed problem is possible and when impossible. Eudoxus of Cuidus, a little later than Leon and a student of the Platonic...learning, begun by Plato, on the subject of the (golden) section2, to which he applied the analytical method. Amyclas of Heraclea, one of Plato's companions,...