Galilei, Galileo
,
Discourse concerning the natation of bodies
,
1663
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have been produced, I ſay, that Figures, as ſimple Figures, not only
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operate not in naturall things, but neither are they ever ſeperated
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from the Corporeall ſubſtance: nor have I ever alledged them ſtript
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of ſenſible Matter, like as alſo I freely admit, that in our
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ing to examine the Diverſity of Accidents, dependant upon the
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riety of Figures, it is neceſſary to apply them to Matters, which
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ſtruct not the various operations of thoſe various Figures: and I
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mit and grant, that I ſhould do very ill, if I would experiment the
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fluence of Acuteneſſe of edge with a Knife of Wax, applying it to cut
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an Oak, becauſe there is no Acuteneſs in Wax able to cut that
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very hard wood. </
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>But yet ſuch an Experiment of this Knife, would
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not be beſides the purpoſe, to cut curded Milk, or other very yielding
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Matter: yea, in ſuch like Matters, the Wax is more commodious
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than Steel; for finding the diverſity depending upon Angles, more or
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leſs Acute, for that Milk is indifferently cut with a Raiſor, and with
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a Knife, that hath a blunt edge. </
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>It needs, therefore, that regard be
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had, not only to the hardneſs, ſolidity or Gravity of Bodies, which
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under divers figures, are to divide and penetrate ſome Matters, but it
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forceth alſo, that regard be had, on the other ſide, to the Reſiſtance
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of the Matters, to be divided and penetrated. </
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>But ſince I have in
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making the Experiment concerning our Conteſt, choſen a Matter
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which penetrates the Reſiſtance of the water; and in all figures
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cendes to the Bottome, the Adverſaries can charge me with no defect;
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yea, I have propounded ſo much a more excellent Method than they,
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in as much as I have removed all other Cauſes, of deſcending or
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not deſcending to the Bottom, and retained the only ſole and pure
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variety of Figures, demonſtrating that the ſame Figures all deſcende
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with the only alteration of a Grain in weight: which Grain being
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removed, they return to float and ſwim; it is not true, therefore,
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(reſuming the Example by them introduced) that I have gon about
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to experiment the efficacy of Acuteneſs, in cutting with Matters
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able to cut, but with Matters proportioned to our occaſion; ſince
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they are ſubjected to no other variety, then that alone which depends
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on the Figure more or leſs a
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Figure is
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ſeperable from
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Corporeall
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ſtance.</
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The anſwer to
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the Objection
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gainſt the
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riment of the
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Wax.</
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>But let us proceed a little farther, and obſerve, how that indeed
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the Conſideration, which, they ſay, ought to be had about the Election
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of the Matter, to the end, that it may be proportionate for the
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king of our experiment, is needleſly introduced, declaring by the
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ample of Cutting, that like as Acuteneſs is inſufficient to cut, unleſs
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when it is in a Matter hard and apt to ſuperate the Reſiſtance of the
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wood or other Matter, which we intend to cut; ſo the aptitude of
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deſcending or notdeſcending in water, ought and can only be known
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in thoſe Matters, that are able to overcome the Renitence, and
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rate the Craſſitude of the water. </
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>Unto which, I ſay, that to make
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diſtinction and election, more of this than of that Matter, on which to </
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