[ 557 ] 
Thefe cylinders are in the clofeft arrangement pof-- 
fible for equal cylinders ; and the fphercs, which they 
circumfcribe, are in the clofeft arrangement poflible 
for equal fpheres, which have their centers in the 
lame plane. The folid fpace occupied by the cylin- 
ders, is to the folid fpace occupied by their inter- 
ftices, as the furface covered by their circular bafes, 
to the furface covered by the interftices of their bafes : 
That is, as 39 to 4, very nearly, by the firft Problem. 
But the Ipheres contained within thele cylinders are 
each- but 4 of the containing cylinder. The folid con- 
tent therefore of all the fpheres is but 4 of the folid 
content of all the cylinders; and the remaining third 
part of the folid content of the cylinders, together 
with the interftices between the cylinders, makes up 
the whole of the interftices between the fpheres. 
Therefore, the fpace occupied by the fpheres is to 
the fpace occupied by their interftices, as 39 — ^ to 
4 + 7* or as 26 to 17, very nearly. 
The fpheres being in the clofeft arrangement 
poflible, if each be a folid atom, or without pore 
within its own dimenfions, then, the infinitely thin 
cruft, which thefe atoms compofe, is plainly the moft 
denfe that can be compofed of equal fpherules, having 
their centers in one plane.. And the fpace occupied 
by its matter is to the fpace occupied by its pore, 
as 2 j 6 to 17, very- nearly. 
Scholium. 
If the component fpherules, inftead of being'folid, 
be fuppofed to be each of the denfity of gold, in which 
one half of the bulk may reafonably be fuppofed to 
be 
