SEYFFARTH ON THE THEORY OF THE MOON S MOTIONS. 507 



in what years the Apis periods were renewed, referred the eclipse 

 observed in the course of the 7th year of Cambyses to — 522, July 

 16th, 9I1. 30m. P. T., 13 6° E., obscuration 6 inches. Conse- 

 quently, Ptolemy again antedated Cambyses by two years, or 

 three, the day of Cyrus's death being unknown. 



6. Ptolemy (Aim. iv. 8, p. 269) refers the lunar eclipse observed 

 within the 20th year of Darius Hystaspes to — 501, Nov. 19, ioh. 

 P. T. Since, however, Cambyses died two years later than Ptol- 

 emy supposed, Darius Hystaspes must likewise have l-eigned and 

 deceased later by two years. This is confirmed by Herodotus, 

 who narrates that Darius died four years after the battle at Mara- 

 thon, viz. in — 484, as we have seen (p. 410). Therefore, the 

 real eclipse of the 20th year of Darius belongs to — 499, May 4th, 

 ioh. 15m. p.m. P.T., ft 4 W. According to our Table, p. 429, 

 the opposition took place about 4I1. 50m. after midnight in Baby- 

 lon, and the ft lay io° W. 



7. Ptolemy (Aim. iv. 5, p. 267) reports that in the course of the 

 31st year of the same Darius a lunar eclipse was observed, which 

 he refers to — 490, April 25, 8h. 45. P. T., ft n° E., obscuration 

 1 inch. But, Darius reigning two years later (p, 501), his 31st year 

 commenced in — 4SS, or, since the day of Cambyses' death is 

 unknown, in — 489. Besides, in — 4SS no lunar eclipse was visi- 

 ble in Babylon. Hence, the eclipse referred to happened in — 489, 

 Oct. Sth, 4b.. 30m. p.m. P. T., y i° W., i.e., according to our 

 Table, p. 429, 1 hour before midnight in Babylon, 13 7°\V. of the 

 centre of the earth's shadow. 



4- Ptolemy having learned that in the 5th year of Nabopolas- 

 sar a lunar eclipse happened in Babylon, referred it (Aim. v. 14, 

 p. 340) to — 620, April 21st, 14b.. 45m. P. T., ft 9 E., obscura- 

 tion 1 1 inches. But, since all the following kings reigned two 

 years later, Nabopolassar must likewise have ruled in — 622, and 

 not in — 624; and hence the eclipse of the 5th year of Nabopo- 

 lassar belongs to — 619, Oct. 6th, I2h. 13 0° E., and, according to 

 our Table, p. 429, this total obscuration of the moon took place 

 in Babylonia about one hour prior to sunrise. The eclipse in 

 — 620, April 21st, 14I1. 15m., happened after sunrise in Babylon. 



1. Since Alexander the Great died in — 320, three years later 

 than Ptolemy states, and since the latter (Almag. vi. 6, p. 204) 

 expressly reports that from the 1st year of Nabonassar down to 



