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e assigning of a regnal year to a definite date B.C. is clear enough (except in occasional detail) from the conquest by Alexander onwards. Before that time, in spite of successive efforts to establish a chronology, the problem is very obscure. The materials for reconstructing the absolute chronology are of several kinds: (1) Regnal dates as given on contemporary monuments may indicate the _lengths of individual reigns_, but not with accuracy, as they seldom reach to the end of a reign and do not allow for co-regencies. Records of the time that has elapsed between two regnal dates in the reigns of different kings are very helpful; thus stelae from the Serapeum recording the ages of the Apis bulls with the dates of their birth and death have fixed the chronology of the XXVIth Dynasty. Traditional evidence for the lengths of reigns exists in the Turin Papyrus of kings and in Manetho's history; unfortunately the papyrus is very fragmentary and preserves few reign-lengths entire, and Manetho's evidence seems very untrustworthy, being known only from late excerpts. (2) The duration of a period may be calculated by _generations_ or the probable average lengths of reigns, but such calculations are of little value, and the succession of generations even when the evidence seems to be full is particularly difficult to ascertain in Egyptian, owing to adoptions and the repetition of the same name even in one family of brothers and sisters. (3) _Synchronisms_ in the histories of other countries furnish reliable dates--Greek, Persian, Babylonian and Biblical dates for the XXVIth Dynasty, Assyrian for the XXVth; less precise are the Biblical date of Rehoboam, contemporary with the invasion of Shishak (Sheshonk) in the XXIInd Dynasty, and the date of the Babylonian and Assyrian kings contemporary with Amenhotp IV. in the XVIIIth Dynasty. The last, about 1400 B.C., is the earliest point to which such coincidences reach. (4) _Astronomical data_, especially the heliacal risings of Sothis recorded by dates of their celebration in the vague year. These are easily calculated on the assumption first that the observations were correctly made, secondly that the calendrical dates are in the year of 365 days beginning on 1st Thoth, and thirdly that this year subsequently underwent no readjustment or other alteration before the reign of Euergetes. The assumption may be a reasonable one, and if the results agree with probabilities as deduced from the
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