A Discourse Presented to the Most Serene Don Cosimo II., Great Duke of Tuscany, Concerning the Natation of Bodies Vpon, and Submersion In, the Water.Galilei, Galileo
Science
A Discourse Presented to the Most Serene Don Cosimo II., Great Duke of Tuscany, Concerning the Natation of Bodies Vpon, and Submersion In, the Water.
Galilei, Galileo
Hydrostatics; Specific gravity
This is all that I have been able to collect, as produced against
_Archimedes_ by _Signor Buonamico_: who hath not well observed the
Principles and Suppositions of _Archimedes_; which yet must be false,
if the Doctrine be false, which depends upon them; but is contented to
alledge therein some Inconveniences, and some Repugnances to the
Doctrine and Opinion of _Aristotle_. In answer to which Objections, I
say, first[21], That the being of _Archimedes_ Doctrine, simply different
from the Doctrine of _Aristotle_, ought not to move any to suspect it,
there being no cause, why the Authority of this should be preferred to
the Authority of the other: but, because, where the decrees of Nature
are indifferently exposed to the intellectuall eyes of each, the
Authority of the one and the other, loseth all a{u}thenticalness of
Perswasion, the absolute power residing in Reason; therefore I pass to
that which he alledgeth in the second place[22], as an absurd consequent
of the Doctrine of _Archimedes_, namely, That water should be more
grave than Earth. But I really find not, that ever _Archimedes_ said
such a thing, or that it can be rationally deduced from his
Conclusions: and if that were manifest unto me, I verily believe, I
should renounce his Doctrine, as most erroneous. Perhaps this
Deduction of _Buonamico_, is founded upon that which he citeth of the
Vessel, which swims as long as its voyd of water, but once full it
sinks to the Bottom, and understanding it of a Vessel of Earth, he
infers against _Archimedes_ thus: Thou sayst that the Solids which
swim, are less grave than water: this Vessell swimmeth: therefore,
this Vessell is lesse grave than water. If this be the Illation. I
easily answer, granting that this Vessell is lesse grave than water,
and denying the other consequence, namely, that Earth is less Grave
than Water. The Vessel that swims occupieth in the water, not only a
place equall to the Mass of the Earth, of which it is formed; but
equall to the Earth and to the Air together, contained in its
concavity. And, if such a Mass compounded of Earth and Air, shall be
less grave than such another quantity of water, it shall swim, and
shall accord with the Doctrine of _Archimedes_; but if, again,
removing the Air, the Vessell shall be filled with water, so that the
Solid put in the water, be nothing but Earth, nor occupieth other
place, than that which is only possest by Earth, it shall then go to
the Bottom, by reason that the Earth is heavier than the water: and
this corresponds well with the meaning of _Archimedes_. See the same
effect illustrated, with such another Experiment, In pressing a Viall
Glass to the Bottom of the water, when it is full of Air, it will meet
with great resistance, because it is not the Glass alone, that is
pressed under water, but together with the Glass a great Mass of Air,
and such, that if you should take as much water, as the Mass of the
Glass, and of the Air contained in it, you would have a weight much
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