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

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1have been produced, I ſay, that Figures, as ſimple Figures, not only

operate
not in naturall things, but neither are they ever ſeperated
from
the Corporeall ſubſtance: nor have I ever alledged them ſtript
of
ſenſible Matter, like as alſo I freely admit, that in our
ing
to examine the Diverſity of Accidents, dependant upon the
riety
of Figures, it is neceſſary to apply them to Matters, which
ſtruct
not the various operations of thoſe various Figures: and I
mit
and grant, that I ſhould do very ill, if I would experiment the
fluence
of Acuteneſſe of edge with a Knife of Wax, applying it to cut
an
Oak, becauſe there is no Acuteneſs in Wax able to cut that
very
hard wood.
But yet ſuch an Experiment of this Knife, would
not
be beſides the purpoſe, to cut curded Milk, or other very yielding
Matter
: yea, in ſuch like Matters, the Wax is more commodious
than
Steel; for finding the diverſity depending upon Angles, more or
leſs
Acute, for that Milk is indifferently cut with a Raiſor, and with
a
Knife, that hath a blunt edge.
It needs, therefore, that regard be
had
, not only to the hardneſs, ſolidity or Gravity of Bodies, which
under
divers figures, are to divide and penetrate ſome Matters, but it
forceth
alſo, that regard be had, on the other ſide, to the Reſiſtance
of
the Matters, to be divided and penetrated.
But ſince I have in
making
the Experiment concerning our Conteſt, choſen a Matter
which
penetrates the Reſiſtance of the water; and in all figures
cendes
to the Bottome, the Adverſaries can charge me with no defect;
yea
, I have propounded ſo much a more excellent Method than they,
in
as much as I have removed all other Cauſes, of deſcending or
not
deſcending to the Bottom, and retained the only ſole and pure
variety
of Figures, demonſtrating that the ſame Figures all deſcende
with
the only alteration of a Grain in weight: which Grain being
removed
, they return to float and ſwim; it is not true, therefore,
(reſuming the Example by them introduced) that I have gon about
to
experiment the efficacy of Acuteneſs, in cutting with Matters
able
to cut, but with Matters proportioned to our occaſion; ſince
they
are ſubjected to no other variety, then that alone which depends
on
the Figure more or leſs a
Figure is
ſeperable
from
Corporeall

ſtance
.
The anſwer to
the
Objection
gainſt
the
riment
of the
Wax
.

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