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

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    <archimedes>
      <text>
        <body>
          <chap>
            <pb pagenum="426"/>
            <p type="margin">
              <s>
                <margin.target id="marg1447"/>
                <emph type="italics"/>
              T
                <emph.end type="italics"/>
              he Authors
                <lb/>
              confutation of
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              the Peripateticks
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              Cauſes of
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              tion &
                <lb/>
              on.</s>
            </p>
            <p type="margin">
              <s>
                <margin.target id="marg1448"/>
              Water & other
                <lb/>
              fluids void of
                <lb/>
              Reſiſtance
                <lb/>
              gainſt Diviſion.</s>
            </p>
            <p type="margin">
              <s>
                <margin.target id="marg1449"/>
                <emph type="italics"/>
              T
                <emph.end type="italics"/>
              he
                <lb/>
              nancy of
                <lb/>
              ments in
                <lb/>
              ables to be
                <lb/>
              ſidered only in
                <lb/>
              relation to their
                <lb/>
              excefs or defect
                <lb/>
              of Gravity in
                <lb/>
              reference to the
                <lb/>
                <emph type="italics"/>
              Medium.
                <emph.end type="italics"/>
              </s>
            </p>
            <p type="margin">
              <s>
                <margin.target id="marg1450"/>
                <emph type="italics"/>
              T
                <emph.end type="italics"/>
              he
                <lb/>
              ate Cauſe of
                <lb/>
              tation is that the
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              Moveable is leſs
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              grave than the
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              Water.</s>
            </p>
            <p type="margin">
              <s>
                <margin.target id="marg1451"/>
                <emph type="italics"/>
              T
                <emph.end type="italics"/>
              he
                <emph type="italics"/>
              P
                <emph.end type="italics"/>
                <lb/>
              ticks alledge for
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              the reaſon of
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              Natation the
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              Cauſe of the
                <lb/>
              Cauſe.</s>
            </p>
            <p type="margin">
              <s>
                <margin.target id="marg1452"/>
              Gravity a
                <lb/>
              Cauſe moſt
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              ſpicuous to
                <lb/>
              ſence:</s>
            </p>
            <p type="main">
              <s>Let us not then deſpiſe thoſe Hints, though very dark, which
                <lb/>
              Reaſon, after ſome contemplation, offereth to our Intelligence,
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              lets be content to be taught by
                <emph type="italics"/>
              Archimedes,
                <emph.end type="italics"/>
              that then any Body
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                <arrow.to.target n="marg1453"/>
                <lb/>
              ſubmerge in water, when it ſhall be ſpecifically more grave than it
                <lb/>
              and that if it ſhall be leſs grave, it ſhall of neceſſity ſwim, and
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                <arrow.to.target n="marg1454"/>
                <lb/>
              that it will reſt indifferently in any place under water, if its
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              be perfectly like to that of the
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                <arrow.to.target n="marg1455"/>
              </s>
            </p>
            <p type="margin">
              <s>
                <margin.target id="marg1453"/>
              Lib 1. of
                <lb/>
              tation Prop. </s>
              <s>7.</s>
            </p>
            <p type="margin">
              <s>
                <margin.target id="marg1454"/>
              Id. </s>
              <s>Lib. 1.
                <lb/>
              Prop. </s>
              <s>4.</s>
            </p>
            <p type="margin">
              <s>
                <margin.target id="marg1455"/>
              Id. </s>
              <s>Lib. </s>
              <s>1:
                <lb/>
              Prop. </s>
              <s>3.</s>
            </p>
            <p type="main">
              <s>Theſe things explained and proved, I come to conſider that which
                <lb/>
              offers it ſelf, touching what the Diverſity of figure given unto the
                <lb/>
              ſaid Moveable hath to do with theſe Motions and Reſts; and
                <lb/>
              ceed to affirme, that,</s>
            </p>
            <p type="head">
              <s>THEOREME V.</s>
            </p>
            <p type="main">
              <s>
                <emph type="italics"/>
              The diverſity of Figures given to this or that Solid
                <emph.end type="italics"/>
              </s>
            </p>
            <p type="main">
              <s>
                <arrow.to.target n="marg1456"/>
                <lb/>
                <emph type="italics"/>
              cannot any way be a Cauſe of its abſolute Sinking
                <lb/>
              Swimming.
                <emph.end type="italics"/>
              </s>
            </p>
            <p type="margin">
              <s>
                <margin.target id="marg1456"/>
              Diverſity of
                <lb/>
              Figure no Cauſe
                <lb/>
              of its abſolute
                <lb/>
              Natation or
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              merſion.</s>
            </p>
            <p type="main">
              <s>So that if a Solid being formed, for example, into a Spherical
                <lb/>
              Figure, doth ſink or ſwim in the water, I ſay, that being formed
                <lb/>
              into any other Figure, the ſame figure in the ſame water,
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              ſink or ſwim: nor can ſuch its Motion by the Expanſion or by
                <lb/>
              ther mutation of Figure, be impeded or taken
                <lb/>
                <arrow.to.target n="marg1457"/>
              </s>
            </p>
            <p type="margin">
              <s>
                <margin.target id="marg1457"/>
              The
                <lb/>
              on of
                <emph type="italics"/>
              F
                <emph.end type="italics"/>
              igure,
                <lb/>
              tards the
                <lb/>
              ty of the aſcent
                <lb/>
              or deſcent of the
                <lb/>
              Moveable in the
                <lb/>
              water; but doth
                <lb/>
              not deprive it of
                <lb/>
              all Motion.</s>
            </p>
            <p type="main">
              <s>The Expanſion of the Figure may indeed retard its Velocity,
                <lb/>
              well of aſcent as deſcent, and more and more according as the ſaid
                <lb/>
              gure is reduced to a greater breadth and thinneſs: but that it may bere
                <lb/>
              duced to ſuch a form as that that ſame matter be wholly hindred from
                <lb/>
              moving in the ſame water, that I hold to be impoſſible. </s>
              <s>In this I have
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              met with great contradictors, who producing ſome Experiments, and
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              in perticular a thin Board of Ebony, and a Ball of the ſame Wood
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              and ſhewing how the Ball in Water deſcended to the bottom, and
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              the Board being put lightly upon the Water ſubmerged not, but
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              ed; have held, and with the Authority of
                <emph type="italics"/>
              Ariſtotle,
                <emph.end type="italics"/>
              confirmed them
                <lb/>
              ſelves in their Opinions, that the Cauſe of that Reſt was the
                <lb/>
              of the Figure, u able by its ſmall weight to pierce and penetrate the
                <lb/>
              Reſiſtance of the Waters Craſſitude, which Reſiſtance is readily
                <lb/>
              vercome by the other Sphericall Figure.</s>
            </p>
            <p type="main">
              <s>This is the Principal point in the preſent Queſtion, in which I
                <lb/>
              ſwade my ſelf to be on the right ſide.</s>
            </p>
            <p type="main">
              <s>Therefore, beginning to inveſtigate with the examination of
                <lb/>
              quiſite Experiments that really the Figure doth not a jot alter the
                <lb/>
              cent or Aſcent of the ſame Solids, and having already
                <lb/>
              ted that the greater or leſs Gravity of the Solid in relation to the
                <lb/>
              vity of the
                <emph type="italics"/>
              Medium
                <emph.end type="italics"/>
              is the cauſe of Deſcent or Aſcent: when ever we </s>
            </p>
          </chap>
        </body>
      </text>
    </archimedes>
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