Borelli, Giovanni Alfonso, De motionibus naturalibus a gravitate pendentibus, 1670

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    <archimedes>
      <text>
        <body>
          <chap>
            <p type="main">
              <s id="s.001819">
                <pb pagenum="343" xlink:href="010/01/351.jpg"/>
                <arrow.to.target n="marg463"/>
                <lb/>
              di FA ad grauitatem alterius partis BG vt altitudo,
                <lb/>
              ſeu moles illius ad huius molem (cum ſupponatur
                <lb/>
              fluidum ſibi ipſi homogeneum) & eſt moles fluidi FA
                <lb/>
              minor, quàm GB, igitur fluidum FA minùs grauitat,
                <lb/>
              & ideò minùs comprimit ſubiectum fluidum AE,
                <lb/>
              quàm fluidum GB comprimat ſibi ſubiectum fluidum
                <lb/>
              EB; ſed eſt impoſſibile vt minor vis compreſſiua flui­
                <lb/>
              di ambientis FA impellat deorsùm, &
                <expan abbr="contũdat">contundat</expan>
                <expan abbr="mõ-tuoſitatem">mon­
                  <lb/>
                tuoſitatem</expan>
              fluidi MAK, quin expellatur ſursùm hu­
                <lb/>
              milior pars eiuſdem fluidi EB; & hæc ſursùm expelli
                <lb/>
              nequit niſi cædat vis compreſſiua grauitatis totius
                <lb/>
              fluidi GB, igitur deberet vis grauitatis maior totius
                <lb/>
              aquæ BG ſuperari à potentia minoris grauitatis FA,
                <lb/>
              quod eſt impoſſibile, ergò vis compreſſiua externą
                <lb/>
              aeris, vel cuiuslibet alterius fluidi, non poteſt effice­
                <lb/>
              re tumorem illum ſphæricum, quem in guttis mercu­
                <lb/>
              rij, & aquæ obſeruamus, quotieſcumque prædictæ
                <lb/>
              guttæ grauitate carerent, & in centro regionis ele­
                <lb/>
              mentaris collocatæ eſſent. </s>
            </p>
            <p type="margin">
              <s id="s.001820">
                <margin.target id="marg463"/>
              Cap. 8. cur
                <lb/>
              exiguæ aquæ
                <lb/>
              guttæ ſupra
                <lb/>
                <expan abbr="libellã">libellam</expan>
              aquæ
                <lb/>
              aſcendunt.</s>
            </p>
            <p type="main">
              <s id="s.001821">
                <emph type="center"/>
              PROP. CLXVI.
                <emph.end type="center"/>
              </s>
            </p>
            <p type="main">
              <s id="s.001822">
                <emph type="center"/>
                <emph type="italics"/>
              Non poſſe guttulas fluidi ſphæricè conglobari ab vniuerſali
                <lb/>
              ambientis aeris compresſione demonstratur.
                <emph.end type="italics"/>
                <emph.end type="center"/>
              </s>
            </p>
            <p type="main">
              <s id="s.001823">REſtat modò vt idipſum oſtendamus in guttis a­
                <lb/>
              queis in ſuperficie noſtræ telluris
                <expan abbr="exiſtẽtibus">exiſtentibus</expan>
              .
                <lb/>
              </s>
              <s id="s.001824">Gutta aquea ABCD ſuſpenſa ſit filo GA, vt pauimen­
                <lb/>
              tum VX non attingat, & ſuppoſito, quòd ab oceano
                <lb/>
              aereo RS vndique gutta ſuſpenſa contundatur, & ve-</s>
            </p>
          </chap>
        </body>
      </text>
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