Having determined densities for the matter composing the earth at
2, 4-1/2, and 9 miles below the surface, that is, to where the mean
diameter comes to be 7900 miles, if we divide that diameter into
layers of 25 miles each in thickness, compute the volume of each layer
or shell, increase the density of each layer as we descend in direct
proportion from 3--the density we have fixed for 9 miles deep--to
13·734 times the density of water, at the centre, and multiply the
volume of each layer from the surface downwards by its respective
average density, we shall find a mass nearly equal to the mass of the
earth at the density of water--always taking its mean diameter at
7918 miles, and mean density at 5·66 times that of water, as already
premised. These calculations have been carefully carried out, and are
represented in detail in Table IV. for future reference. They terminate
in a deficiency of over 70,000,000 of cubic miles, a deficiency which
would be more than made up by making the central density 13·736 instead
of 13·734. Thus we see that if the density of the earth increases
regularly from the surface to the centre, and if the densities we have
given to the layers between the surface and 9 miles in depth are not
greater than those adopted, the central density must be exceedingly
near 13-3/4 times that of water. Of course, if the three surface
densities are in reality _less_ than those we have adopted, the central
density must be greater than 13-3/4 times that of water. The whole
being a result to our calculations which leads us to speculate on what
kind of matter there is at the centre of the earth.
Public-domain text, read in full here on John Shaqi.
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