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

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      <text>
        <body>
          <chap>
            <p type="main">
              <s id="s.000998">
                <pb pagenum="194" xlink:href="010/01/202.jpg"/>
                <arrow.to.target n="marg255"/>
                <lb/>
              ſupremam aquæ libellam detineantur. </s>
              <s id="s.000999">paritèr
                <expan abbr="certũ">certum</expan>
                <lb/>
              eſt inæquales moles eiuſdem ligni inæquales vires
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              leuitatum in aqua habere, & inæqualibus conatibus,
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              & viribus ſursùm impellere; nam ſi ex ligno maiori
                <lb/>
              ſecetur auferaturque vna pars æqualis moli ligni mi­
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              noris, hæ cùm ſint æquè leues, moleſque æquales ha­
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              beant, vt nimirùm prohiberi eorum aſcenſus noņ
                <lb/>
              poſſint, niſi ab æqualibus ponderibus
                <expan abbr="incumbẽtibus">incumbentibus</expan>
              ,
                <lb/>
              videtur impoſſibile vt exceſſus ille ligni maioris ſu­
                <lb/>
              pra minorem (cùm ſit eiuſdem naturæ ligneæ proin­
                <lb/>
              de que leuis) vim ſursùm non exerceat pro menſura
                <lb/>
              ſuæ quantitatis, & proinde requirat vim contrariam
                <lb/>
              alicuius ponderis incumbentis, vt eius aſcenus pro­
                <lb/>
              hibeatur. </s>
            </p>
            <p type="margin">
              <s id="s.001000">
                <margin.target id="marg255"/>
              Cap. 4. poſi­
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              tiuam leui­
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              tatem noņ
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              dari.</s>
            </p>
            <p type="main">
              <s id="s.001001">
                <emph type="center"/>
              PROP. XCIV.
                <emph.end type="center"/>
              </s>
            </p>
            <p type="main">
              <s id="s.001002">
                <emph type="center"/>
                <emph type="italics"/>
              Hoc ſuppoſito demonſtrabo, quòd duæ moles eiuſdem leuis
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              corporis ſursùm impellendo in eodem fluido exercent
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              vires, quæ eamdem proportionem habent, quam
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              moles ipſæ.
                <emph.end type="italics"/>
                <emph.end type="center"/>
              </s>
            </p>
            <p type="main">
              <s id="s.001003">IN vaſe FDE aqua pleno, vel alio
                <lb/>
                <figure id="id.010.01.202.1.jpg" xlink:href="010/01/202/1.jpg"/>
                <lb/>
              fluido demergantur duæ inæqua­
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              les moles eiuſdem ligni, quæ ſcilicèt
                <lb/>
              æquè rarę ſint ſpecie, vt ſunt ABC, &
                <lb/>
              HIK, ſit que S leuitas, ſeù vis qua li­
                <lb/>
              gnum ABC
                <expan abbr="ſursũ">ſursum</expan>
              aſcendit; atque R
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              ſit leuitas alterius HIK. </s>
              <s id="s.001004">Dico quòd
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              leuitas S ad R eamdem
                <expan abbr="proportionẽ">proportionem</expan>
              </s>
            </p>
          </chap>
        </body>
      </text>
    </archimedes>