As we can see, the angular distance between Sirius and the North Pole of the ecliptic (vertical axis) equalled the supplement of the angle phi in 4000 BC. In other words, the angular distance between Sirius and the South Pole of the ecliptic equalled, in 4000 BC, the angle phi (51.8°). Two thousands years later, at the time of Sesostris I, a difference of 0.5° was noticed between this "ideal" value and the existing angular distance. It's most likely that this difference was not seen as meaningful by the Egyptians. Moreover, the astronomers of the time may not have been able to determine the polar distance by 0.5° .
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