[Sidenote: _H_ow far Solids less grave _in specie_ than water, do
submerge.]
_By what hath been demonstrated, it is manifest, that Solids less
grave_ in specie _than the water, submerge only so far, that as
much water in Mass, as is the part of the Solid submerged, doth
weigh absolutely as much as the whole Solid._
For, it being supposed, that the Specificall Gravity of the water, is
to the Specificall Gravity of the Prisme D G, as the Altitude D F, is
to the Altitude F B; that is, as the Solid D G is to the Solid B G; we
might easily demonstrate, that as much water in Mass as is equall to
the Solid B G, doth weigh absolutely as much as the whole Solid D G;
For, by the _Lemma_ foregoing, the Absolute Gravity of a Mass of
water, equall to the Mass B G, hath to the Absolute Gravity of the
Prisme D G, a proportion compounded of the proportions, of the Mass B
G to the Mass G D, and of the Specifick Gravit{y} of the water, to the
Specifick Gravity of the Prisme: But the Gravity _in specie_ of the
water, to the Gravity _in specie_ of the Prisme, is supposed to be as
the Mass G D to the Mass G B. Therefore, the Absolute Gravity of a
Mass of water, equall to the Mass B G, is to the Absolute Gravity of
the Solid D G, in a proportion compounded of the proportions, of the
Mass B G to the Mass G D, and of the Mass D G to the Mass G B; which
is a proportion of equalitie. The Absolute Gravity, therefore, of a
Mass of Water equall to the part of the Mass of the Prisme B G, is
equall to the Absolute Gravity of the whole Solid D G.