Archimedes, Natation of bodies, 1662

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    <archimedes>
      <text>
        <body>
          <chap>
            <pb xlink:href="073/01/017.jpg" pagenum="346"/>
            <p type="head">
              <s>SVPPOSITION II.</s>
            </p>
            <p type="main">
              <s>
                <emph type="italics"/>
              It is ſuppoſed that thoſe Solids which are moved up­
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              wards, do all aſcend according to the Perpendicular
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              which is produced thorow their Centre of Gravity.
                <emph.end type="italics"/>
              </s>
            </p>
            <p type="head">
              <s>COMMANDINE.</s>
            </p>
            <p type="main">
              <s>
                <emph type="italics"/>
              And thoſe which are moved downwards, deſcend, likewiſe, according to the Perpendicular
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              that is produced thorow their Centre of Gravity, which he pretermitted either as known,
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              or as to be collected from what went before.
                <emph.end type="italics"/>
              </s>
            </p>
            <p type="main">
              <s>NIC. </s>
              <s>For underſtanding of this ſecond
                <emph type="italics"/>
              Suppoſition,
                <emph.end type="italics"/>
              it is requiſite to take notice
                <lb/>
              that every Solid that is lighter than the Liquid being by violence, or by ſome other
                <lb/>
              occaſion, ſubmerged in the Liquid, and then left at liberty, it ſhall, by that which
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              hath been proved in the ſixth
                <emph type="italics"/>
              Propoſition,
                <emph.end type="italics"/>
              be thruſt or born up wards by the Liquid,
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              and that impulſe or thruſting is ſuppoſed to be directly according to the Perpendi­
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              cular that is produced thorow the Centre of Gravity of that Solid; which Per­
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              pendicular, if you well remember, is that which is drawn in the Imagination
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              from the Centre of the World, or of the Earth, unto the Centre of Gravity of
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              that Body, or Solid.</s>
            </p>
            <p type="main">
              <s>RIC. </s>
              <s>How may one find the Centre of Gravity of a Solid?</s>
            </p>
            <p type="main">
              <s>NIC. </s>
              <s>This he ſheweth in that Book, intituled
                <emph type="italics"/>
              De Centris Gravium, vel de Æqui­
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              ponderantibus
                <emph.end type="italics"/>
              ; and therefore repair thither and you ſhall be ſatisfied, for to declare
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              it to you in this place would cauſe very great confuſion.</s>
            </p>
            <p type="main">
              <s>RIC. </s>
              <s>I underſtand you: ſome other time we will talk of this, becauſe I have
                <lb/>
              a mind at preſent to proceed to the laſt
                <emph type="italics"/>
              Propoſition,
                <emph.end type="italics"/>
              the Expoſition of which ſeemeth
                <lb/>
              to me very confuſed, and, as I conceive, the Author hath not therein ſhewn all
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              the Subject of that
                <emph type="italics"/>
              Propoſition
                <emph.end type="italics"/>
              in general, but only a part: which Propoſition
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              ſpeaketh, as you know, in this form.</s>
            </p>
            <p type="head">
              <s>PROP. VIII. THEOR. VIII.
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                <arrow.to.target n="marg1137"/>
              </s>
            </p>
            <p type="margin">
              <s>
                <margin.target id="marg1137"/>
              A</s>
            </p>
            <p type="main">
              <s>
                <emph type="italics"/>
              If any Solid Magnitude, lighter than the Liquid, that
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              hath the Figure of a Portion of a Sphære, ſhall be
                <emph.end type="italics"/>
              </s>
            </p>
            <p type="main">
              <s>
                <arrow.to.target n="marg1138"/>
                <lb/>
                <emph type="italics"/>
              demitted into the Liquid in ſuch a manner as that
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              the Baſe of the Portion touch not the Liquid, the
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              Figure ſhall ſtand erectly, ſo, as that the Axis of
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              the ſaid Portion ſhall be according to the Perpen­
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              dicular. </s>
              <s>And if the Figure ſhall be inclined to any
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              ſide, ſo, as that the Baſe of the Portion touch the
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              Liquid, it ſhall not continue ſo inclined as it was de­
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              mitted, but ſhall return to its uprightneſs.
                <emph.end type="italics"/>
              </s>
            </p>
          </chap>
        </body>
      </text>
    </archimedes>
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