The consequences of supposing AN to be zero have already been traced.
Taking Linke's (28) figures as given in § 10, and supposing h, = o, h 2 = 15 X 10 4, we find for the charge in the unit tube between the ground and 1500 metres level, remembering that the centimetre is now the unit of length, M = (I/41r) (125-25)/100.
It -is worth while to notice that this reference occurs in a chapter "De Multiplicationis et Partitionis compendiis miscellaneis," which, supposing the treatise to have been written in Napier's younger days, may have been his earliest production on a subject over which his subsequent labours were to exert so enormous an influence.
The coal has been treated and found to be of good quality, and there are grounds for supposing that there are 250,000,000 tons in the field.
The occurrence of a large number of common roots proves them to be derived from one source, but the great variety of dialects - sometimes unintelligible between tribes separated by only a few miles - cannot be explained except by supposing a vast period to have elapsed since their first settlement.
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