Footnotes

^73:1 See Companion, pp. 228-9.

^75:1 Gnômôn: here, a figure used in solving geometrical problems. Heath, Greek Mathematics, I. p. 78; and Newbold, Philolaus, in Arch. für Gesch. der Phil. (1906) P. 176 sqq.

^75:2 ὁλκάς, 'hull of a ship'; some emend to ὁλκός, 'roll' or 'envelope', an unlikely meaning.

^76:1 Plato does not name Philolaus here; but his name is applied by Athenagoras (second century A.D.) to a similar statement.