ADDITIONAL NOTES. xxiii P. 172,1. i. Eratosthenes' great circle There are considerable discrepancies in modern calculations of Eratosthenes' earth-perimeter, which has been estimated at any- thing between 20,000 to 25,000 geographical miles (in round figures). These differences arise partly from a doubt whether Eratosthenes' own figure was 250,000 or 252,000 stades; but the chief cause of uncertainty is the length of the stadium in terms of which he was reckoning. The calculation in the text rests on the assumption that he used the Attic-Roman stadium, = | of a Roman mile, This view has the apparent support -of a passage in Pliny, 12. 53, whose meaning, however, is not beyond dispute. P. 190,1. 18. The return of Eudoxus The eventual fate of Eudoxus is uncertain. After one false start he set out again, but all that Posidonius (who was Strabo's in- formant on this subject) could say about the end of the venture was that 'they ought to know at Gades and in Spain.' It was asserted by Mela, 3. 9. 90, and by Pliny, 2. 169, on the authority of Cornelius Nepos, that Eudoxus accomplished his object. But if he had really circumnavigated Africa, the effect of his discoveries in an age when geographic curiosity had been fully awakened must have been considerable; and Posidonius, who upheld the theory of a waterway round Africa (Strabo, 2. 3. 5, p. 100), could not have professed ignorance of them. On the other hand it is^mlikely that Eudoxus returned to Gades a second time and reported the definite failure of his expedition. In that case Nepos (who could easily have made enquiries of Pompey's and Caesar's friend Cornelius Balbus, a native of Gades), would hardly have stated as a positive fact that Eudoxus had been successful The most probable conclusion is that (like the Vivaldi brothers who attempted to repeat his voyage in 1291 A.D.) he perished on the journey. P. 191,1. 23. Soundings in the Mediterranean Sardinia is situated between two marine precipices in which the sea floor sinks to about 2000 fathoms* In the Ionian Sea measure- ments of nearly 2500 fathoms have been taken in modern times. Pp. 192, 193. Observations on the tides An astronomer of the second century, Seleucus of Babylon, went on to assume a causal relation between the tides and the