COROLARY
Amongſt Cones
of the ſame Baſe,
thoſe of leaſt
titude ſhall ſink
the leaſt.
of the ſame Baſe,
thoſe of leaſt
titude ſhall ſink
the leaſt.
That making upon the ſame Baſis, a Cone of a leſs Altitude, it ſhall be
alſo leſs grave, and ſhall ſo much the more reſt without Submerſion.
alſo leſs grave, and ſhall ſo much the more reſt without Submerſion.
COROLARY II.
It is manifeſt, alſo, that one may make Cones and Piramids of any Matter
whatſoever, more grave than the water, which being put into the
water, with the Apix or Point downwards, reſt without Submerſion.
There may be
Cones and
mides of any
Matter, which
demitted with
the Point
wards do float
top.
Cones and
mides of any
Matter, which
demitted with
the Point
wards do float
top.
Becauſe if we reaſſume what hath been above demonſtrated,
Priſms and Cylinders, and that on Baſes equall to thoſe of the
ſaid Cylinders, we make Cones of the ſame Matter, and
times as high as the Cylinders, they ſhall reſt afloat, for that in Maſs
and Gravity they ſhall be equall to thoſe Cylinders, and by having
their Baſes equall to thoſe of the Cylinders, they ſhall leave equall
Maſſes of Air included within the Ramparts. This, which for
ple ſake hath been demonſtrated, in Priſms, Cylinders, Cones and
Piramids, might be proved in all other Solid Figures, but it would
require a whole Volume (ſuch is the multitude and variety of their
Symptoms and Accidents) to comprehend the particuler demonſtration
of them all, and of their ſeverall Segments: but I will to avoid prolixity
in the preſent Diſcourſe, content my ſelf, that by what I have declared
every one of ordinary Capacity may comprehend, that there is not
any Matter ſo grave, no not Gold it ſelf, of which one may not form
all ſorts of Figures, which by vertue of the ſuperiour Air adherent to
them, and not by the Waters Reſiſtance of Penetration, do remain
afloat, ſo that they ſink not. Nay, farther, I will ſhew, for removing
that Error, that,
Priſms and Cylinders, and that on Baſes equall to thoſe of the
ſaid Cylinders, we make Cones of the ſame Matter, and
times as high as the Cylinders, they ſhall reſt afloat, for that in Maſs
and Gravity they ſhall be equall to thoſe Cylinders, and by having
their Baſes equall to thoſe of the Cylinders, they ſhall leave equall
Maſſes of Air included within the Ramparts. This, which for
ple ſake hath been demonſtrated, in Priſms, Cylinders, Cones and
Piramids, might be proved in all other Solid Figures, but it would
require a whole Volume (ſuch is the multitude and variety of their
Symptoms and Accidents) to comprehend the particuler demonſtration
of them all, and of their ſeverall Segments: but I will to avoid prolixity
in the preſent Diſcourſe, content my ſelf, that by what I have declared
every one of ordinary Capacity may comprehend, that there is not
any Matter ſo grave, no not Gold it ſelf, of which one may not form
all ſorts of Figures, which by vertue of the ſuperiour Air adherent to
them, and not by the Waters Reſiſtance of Penetration, do remain
afloat, ſo that they ſink not. Nay, farther, I will ſhew, for removing
that Error, that,
THEOREME
A Piramide or
Cone, demitted
with the Point
downwards ſhal
ſwim, with its
Baſe downward
ſhall ſink.
Cone, demitted
with the Point
downwards ſhal
ſwim, with its
Baſe downward
ſhall ſink.
A Piramide or Cone put into the Water, with the Point
downward ſhall ſwimme, and the ſame put with the
Baſe downwards ſhall ſinke, and it ſhall be impoſſible
to make it float.
downward ſhall ſwimme, and the ſame put with the
Baſe downwards ſhall ſinke, and it ſhall be impoſſible
to make it float.
Now the quite contrary would happen, if the difficulty of Pene
trating the water, were that which had hindred the deſcent, for
that the ſaid Cone is far apter to pierce and penetrate with its ſharp
Point, than with its broad and ſpacious Baſe.
trating the water, were that which had hindred the deſcent, for
that the ſaid Cone is far apter to pierce and penetrate with its ſharp
Point, than with its broad and ſpacious Baſe.
And, to demonſtrate this, let the Cone be A B C, twice as grave
as the water, and let its height be tripple to the height of the Rampart
D A E C: I ſay, firſt, that being put lightly into the water with the
as the water, and let its height be tripple to the height of the Rampart
D A E C: I ſay, firſt, that being put lightly into the water with the