Galilei, Galileo, Discourse concerning the natation of bodies, 1663

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1below the Levell of the water, almoſt twenty times the thickneſs
of the Plate, as I ſhall anon declare.
Bodies of all
Figures, laid
on the water, do
penetrate its
Craſſitude, and
in what
tion.
But let us proceed to evince, that the water yields and ſufters it
ſelf to be penetrated by every the lighteſt Body; and therewithall
demonſtrate, how, even by Matters that ſubmerge not, we may
come to know that Figure operates nothing about the going or
not going to the Bottom, ſeeing that the water ſuffers it ſelf to be
penetrated equally by every Figure.
Make a Cone, or a Piramis of Cypreſs, of Firre, or of other

Wood of like Gravity, or of pure Wax, and let its height be
what great, namely a handfull, or more, and put it into the water
with the Baſe downwards: firſt, you ſhall ſee that it will penetrate
the water, nor ſhall it be at all impeded by the largeneſs of the Baſe,
nor yet ſhall it ſink all under water, but the part towards the point
ſhall lye above it: by which ſhall be manifeſt, firſt, that that Solid
forbeares not to ſink out of an inabillity to divide the Continuity
of the water, having already divided it with its broad part, that in
the opinion of the Adverſaries is the leſs apt to make the diviſion.
The Piramid being thus fixed, note what part of it ſhall be
merged, and revert it afterwards with the point downwards, and
you ſhall ſee that it ſhall not dive into the water more than before,
but if you obſerve how far it ſhall ſink, every perſon expert in
Geometry, may meaſure, that thoſe parts that remain out of the
water, both in the one and in the other Experiment are equall to
an hair: whence he may manifeſtly conclude, that the acute Figure
which ſeemed moſt apt to part and penetrate the water, doth not
part or penetrate it more than the large and ſpacious.
The
ment of a Cone,
demitted with
its Baſe, and
ter with its
Point
wards.
And he that would have a more eaſie Experiment, let him take
two Cylinders of the ſame Matter, one long and ſmall, and the
ther ſhert, but very broad, and let him put them in the water, not
diſtended, but erect and endways: he ſhall ſee, if he diligently
meaſure the parts of the one and of the other, that in each of them
the part ſubmerged, retains exactly the ſame proportion to that
out of the water, and that no greater part is ſubmerged of that
long and ſmall one, than of the other more ſpacious and broad:
howbeit, this reſts upon a very large, and that upon a very little
Superficies of water: therefore the diverſity of Figure, occaſioneth
neither facility, nor difficulty, in parting and penetrating the
tinuity of the water; and, conſequently, cannot be the Cauſe of the
Natation or Submerſion.
He may likewiſe diſcover the
operating of variety of Figures, in ariſing from the Bottom of the
water, towards the Surface, by taking Wax, and tempering it with
a competent quantity of the filings of Lead, ſo that it may become
a conſiderable matter graver than the water: then let him make

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