THEOREME
The heavieſt
Bodies may
ſwimme.
Bodies may
ſwimme.
All Matters, how heavy ſoever, even to Gold it ſelf,
heavieſt of all Bodies, known by us, may float upon
the Water.
heavieſt of all Bodies, known by us, may float upon
the Water.
Becauſe its Gravity being conſidered to be almoſt twenty times
greater than that of the water, and, moreover, the greateſt Alti
tude that the Rampart of water can be extended to, without break
ing the Contiguity of the Air, adherent to the Surface of the Solid,
that is put upon the water being predetermined, if we ſhould make
a Plate of Gold ſo thin, that it exceeds not the nineteenth part ofthe
Altitude of the ſaid Rampart, this put lightly upon the water ſhall
reſt, without going to the bottom: and if Ebony ſhall chance to be
in ſeſquiſeptimall proportion more grave than the water, the greateſt
thickneſs that can be allowed to a Board of Ebony, ſo that it may be
able to ſtay above water without ſinking, would be ſeaven times
more than the height of the Rampart Tinn, v. gr. eight times
grave than water, ſhall ſwimm as oft as the thickneſs of its Plate,
greater than that of the water, and, moreover, the greateſt Alti
tude that the Rampart of water can be extended to, without break
ing the Contiguity of the Air, adherent to the Surface of the Solid,
that is put upon the water being predetermined, if we ſhould make
a Plate of Gold ſo thin, that it exceeds not the nineteenth part ofthe
Altitude of the ſaid Rampart, this put lightly upon the water ſhall
reſt, without going to the bottom: and if Ebony ſhall chance to be
in ſeſquiſeptimall proportion more grave than the water, the greateſt
thickneſs that can be allowed to a Board of Ebony, ſo that it may be
able to ſtay above water without ſinking, would be ſeaven times
more than the height of the Rampart Tinn, v. gr. eight times
grave than water, ſhall ſwimm as oft as the thickneſs of its Plate,
exceeds not the 7th part of the Altitude of the Rampart.
He elſewhere
cites this as a
Propoſition,
fore I make it of
that number.
cites this as a
Propoſition,
fore I make it of
that number.
And here I will not omit to note, as a ſecond Corrollary dependent
upon the things demonſtrated, that,
upon the things demonſtrated, that,
THEOREME
Natation and
Submerſion,
lected from the
thickneſs,
ding the length
and breadth of
Plates.
Submerſion,
lected from the
thickneſs,
ding the length
and breadth of
Plates.
The Expanſion of Figure not only is not the Cauſe of
Natation of thoſe grave Bodies, which
do ſubmerge, but alſo the determining what be
Boards of Ebony, or Plates of Iron or Gold that
ſwimme, depends not on it, rather that ſame
tion is to be collected from the only thickneſs of
Figures of Ebony or Gold, wholly excluding the
ſideration of length and breadth, as having no way
any ſhare in this Effect.
Natation of thoſe grave Bodies, which
do ſubmerge, but alſo the determining what be
Boards of Ebony, or Plates of Iron or Gold that
ſwimme, depends not on it, rather that ſame
tion is to be collected from the only thickneſs of
Figures of Ebony or Gold, wholly excluding the
ſideration of length and breadth, as having no way
any ſhare in this Effect.
It hath already been manifeſted, that the only cauſe of the
tion of the ſaid Plates, is the reduction of them to be leſs grave
than the water, by means of the connexion of that Air, which
ſcendeth together with them, and poſſeſſeth place in the water;
which place ſo occupyed, if before the circumfuſed water diffuſeth
it ſelf to fill it, it be capable of as much water, as ſhall weigh equall
with the Plate, the Plate ſhall remain ſuſpended, and ſinke
farther.
tion of the ſaid Plates, is the reduction of them to be leſs grave
than the water, by means of the connexion of that Air, which
ſcendeth together with them, and poſſeſſeth place in the water;
which place ſo occupyed, if before the circumfuſed water diffuſeth
it ſelf to fill it, it be capable of as much water, as ſhall weigh equall
with the Plate, the Plate ſhall remain ſuſpended, and ſinke
farther.