^{page 274 note 1} Ulpian: Dig. 1. 1. 30.

^{page 274 note 2} Charlesworth, M. P., The Roman Empire (originally Home University Library, 1951, 80) reprinted as Oxford Paperbacks (University Series, 30), 1968, 55. I am grateful to Dr. J. P. V. D. Balsdon for identifying this as Dittenberger, O.G.I.S. 519.Google Scholar

^{page 274 note 3} J.H.S. xvii (1897), 417 ff.; xviii (1898), 34O ff.

^{page 274 note 4} The translation in Johnson, Coleman-Norton and Bourne, Ancient Roman Statutes, 1961, no. 289 (‘For although we live remotely and are without military protection …’) surely misses the point both of μεσ⋯γειοι and παρ⋯ στρατ⋯ρχῃ μηδεν⋯. I am grateful to Dr. Fergus Millar for this reference.

^{page 275 note 1} Aristoxenus passim (see Nauck's edn. of Porphyry, Opuscula Selecta); Hippobotus and Neanthes, p. 52. 7 Nauck. Androcydes Nicomachus quotes in the Introduction to Arithmetic, p. 6. 11 ff. Hoche.

^{page 275 note 2} Nicomachus of Gerasa, by D'Ooge, M. L., Robbins, F. E., and Karpinski, L. C., University of Michigan Studies, vol. xvi (1926).Google Scholar

^{page 275 note 3} Cassiodorus, , De Artibus ac Disciplina Liberalíum Litterarum, ch. 4, p. 1208b Migne.Google Scholar