Archimedes, Natation of bodies, 1662

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    <archimedes>
      <text>
        <body>
          <chap>
            <pb xlink:href="073/01/004.jpg"/>
            <p type="head">
              <s>BOOK I.</s>
            </p>
            <p type="head">
              <s>RICARDO.</s>
            </p>
            <p type="main">
              <s>
                <emph type="italics"/>
              Dear Companion,
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              I have peruſed your
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              Induſtrious Invention,
                <emph.end type="italics"/>
                <lb/>
              in which I find not any thing that will not certainly hold
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              true; but, truth is, there are many of your Concluſions
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              of which I underſtand uot the Cauſe, and therefore, if it
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              be not a trouble to you, I would deſire you to declare them
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              to me, for, indeed, nothing pleaſeth me, if the Cauſe
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              thereof be hid from me.</s>
            </p>
            <p type="main">
              <s>NICOLO. </s>
              <s>My obligations unto you are ſo many and
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              great,
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              Honoured Campanion,
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              that no requeſt of yours ought
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              to be troubleſome to me, and therefore tell me what thoſe Perticulars are of which
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              you know not the Cauſe, for I ſhall endeavour with the utmoſt of my power and
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              underſtanding to ſatisfie you in all your demands.</s>
            </p>
            <p type="main">
              <s>RIC. </s>
              <s>In the firſt
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              Direction
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              of the firſt Book of that your
                <emph type="italics"/>
              Induſtrious Invention
                <emph.end type="italics"/>
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              you conclude, That it is impoſſible that the Water ſhould wholly receive into it
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              any material Solid Body that is lighter than it ſeif (as to
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              ſpeciæ
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              ) nay, you ſay, That
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              there will alwaies a part of the Body ſtay or remain above the Waters Surface
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              (that is uncovered by it;) and, That as the whole Solid Body put into the Water
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              is in proportion to that part of it that ſhall be immerged, or received, into the Wa­
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              ter, ſo ſhall the Gravity of the Water be to the Gravity
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              (in ſpeciæ)
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              of that ſame
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              material Body: And that thoſe Solid Bodies, that are by nature more Grave than the
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              Water, being put into the Water, ſhall preſently make the ſaid Water give place;
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              and, That they do not only wholly enter or ſubmerge in the ſame, but go continu­
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              ally deſcending untill they arrive at
                <emph type="italics"/>
              t
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              he Bottom; and, That they ſink to the Bot­
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              tom ſo much faſter, by how much they are more Grave than the Water. </s>
              <s>And,
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              again, That thoſe which are preciſely of the ſame Gravity with the Water, being
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              put into the ſame, are of neceſſity wholly received into, or immerged by it, but
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              yet retained in the Surface of the ſaid Water, and much leſs will the Water con­
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              ſent that it do deſcend to the Bottom: and, now, albeit that all theſe things are
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              manifeſt to Senſe and Experience, yet nevertheleſs would I be very glad, if it be
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              poſſible, that you would demonſtrate to me the moſt apt and proper Cauſe of
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              theſe Effects.</s>
            </p>
          </chap>
        </body>
      </text>
    </archimedes>