To find the dimensions of the ring we have 134,490,000 miles for
the diameter of the orbit of Venus, which makes its circumference
422,513,784 miles in length. Then dividing the volume of the ring,
i.e. 5,054,780,604,651^{6} cubic miles by this length, the area of its
cross-section comes to be 11,963,821,788 square miles, which, divided
by the breadth of 28,489,000 miles--that is one-half of the difference
between the diameters of the Venus and Mercurian nebulæ, respectively
160,210,000 and 103,232,000 miles--makes the thickness of the ring to
have been 420 miles. But the inner edge having become, in the process
of separation, 3·738 times more dense than the outer one (see below)
the average thickness would be reduced to 225 miles.
MERCURIAN NEBULA.
As the volume of the nebula was 2,153,115,737,298,603,270^{6} cubic
miles after the separation of the ring for Venus, we have to condense
it into the volume of the Mercurian nebula, which at 103,232,000 miles
in diameter would be 576,026,613,333,333,333^{6} cubic miles. Then,
dividing the larger of these two volumes by the smaller, we find that
the density of the Mercurian nebula must have been increased 3·738 fold
over that of its predecessor. But we find the density of the Venus
nebula to have been 4,465,512 times less than water, dividing which
by 3·738 makes the Mercurian nebula to have been 1,194,666 times less
dense than water. Dividing again this density by 773·395 we find it
to have been 1545 times less than air, and 274° divided by this air
density gives 0·1773463° as its absolute temperature, which corresponds
to -273·8226537°.
From the Mercurian nebula 103,232,000 miles in diameter, volume of
576,026,613,333,333,333^{6} cubic miles, and density of 1,194,666
times less than water, we have to deduct the volume of his ring,
which by Table II. is 92,735,000,000 cubic miles at density of water.
Multiplying this volume by 1,194,666 makes the ring to have been
110,787,355,300^{6} cubic miles in volume at the density of the nebula,
and subtracting this amount from 576,026,613,333,333,333^{6}, we get
576,026,502,545,978,033^{6} cubic miles for the volume to be condensed
into the nebula following.
Public-domain text, read in full here on John Shaqi.
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