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"Seres etiam habitantesque sub ipso sole Indi, cum gemmis et margaritis elephantes quoque inter munera trahentes nihil magis quam longinquitatem viae imputabant." Horace shows his geographical knowledge by saying: "Not those who drink of the deep Danube shall now break the Julian edicts; not the Getae, not the Seres, nor the perfidious Persians, nor those born on the river Tanais." [_Odes_, Bk. IV, Ode 15, 21-24.] [320] "Qua virtutis moderationisque fama Indos etiam ac Scythas auditu modo cognitos pellexit ad amicitiam suam populique Romani ultro per legatos petendam." [Reinaud, loc. cit., p. 180.] [321] Reinaud, loc. cit., p. 180. [322] _Georgics_, II, 170-172. So Propertius (_Elegies_, III, 4): Arma deus Caesar dites meditatur ad Indos Et freta gemmiferi findere classe maris. "The divine Caesar meditated carrying arms against opulent India, and with his ships to cut the gem-bearing seas." [323] Heyd, loc. cit., Vol. I, p. 4. [324] Reinaud, loc. cit., p. 393. [325] The title page of Calandri (1491), for example, represents Pythagoras with these numerals before him. [Smith, _Rara Arithmetica_, p. 46.] Isaacus Vossius, _Observationes ad Pomponium Melam de situ orbis_, 1658, maintained that the Arabs derived these numerals from the west. A learned dissertation to this effect, but deriving them from the Romans instead of the Greeks, was written by Ginanni in 1753 (_Dissertatio mathematica critica de numeralium notarum minuscularum origine_, Venice, 1753). See also Mannert, _De numerorum quos arabicos vocant vera origine Pythagorica_, Nuernberg, 1801. Even as late as 1827 Romagnosi (in his supplement to _Ricerche storiche sull' India_ etc., by Robertson, Vol. II, p. 580, 1827) asserted that Pythagoras originated them. [R. Bombelli, _L'antica numerazione italica_, Rome, 1876, p. 59.] Gow (_Hist. of Greek Math._, p. 98) thinks that Iamblichus must have known a similar system in order to have worked out certain of his theorems, but this is an unwarranted deduction from the passage given. [326] A. Hillebrandt, _Alt-Indien_, p. 179. [327] J. C. Marshman, loc. cit., chaps. i and ii. [328] He reigned 631-579 A.D.; called Nu['s][=i]rw[=a]n, _the holy one_. [329] J. Keane, _The Evolution of Geography_, London, 1899, p. 38. [330] The Arabs who lived in and about Mecca. [331] S. Guyard, in _Encyc. Brit._, 9th ed., Vol. XVI, p. 597. [332] Oppert, loc. cit., p. 29. [333] "At non credendum est id i
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