Penny Blood: Serial Sensation and Working-Class Entertainment — page 199: what you’re looking at

Machine-transcribed from the original scan — historical spelling and the odd misread are preserved.

182 EXTRAVASATION OF WATER [cH. XIV. Consequently, with the value 0:0105 just found for e, p= 0061. If we know how much the volume of a given existing volume of the interior has been diminished by the abstraction of the water it contained, we can find the depth to which the loss of water has extended. For instance, if V be the volume of a mass of the interior at present, after the extravasation of the volume V’ of water substance at the density 4 which was previously mingled with it, and if we consider the abstraction of the mass pV’ to diminish the volume of the magma by V’, which is probably too much, but we may assume for our purpose as true, then the mass was originally oV + 4V" and its density te se . Now let us assume that this density was at that time, before any water was extravasated and the crust had but just begun to be formed, equal to the density of the crust as it now exists be- neath the ocean; for if it had been but little less the crust would have sunk ; aoVt+pV’ _, V+" p’ being the density beneath the ocean ; whence V=L—F yp’ 7—p But V’ is supposed to be equal to s, or to the volume which the ocean would have if all the water were reduced to the ensity 2; ° ye _P —H —# Arno c—p' This is the present reduced volume of the portion of the in- terior, which must have formerly had all the water of the ocean mingled with it at the density u, so as to have then reduced it from the present density » to the then density p’. We now wish to find what portion of the sphere is comprised within this volume. Suppose it to be a shell of thickness 2 _ situated immediately beneath the crust. (CO) commiclsoolkks