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

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    <archimedes>
      <text>
        <body>
          <chap>
            <p type="main">
              <s id="s.000949">
                <pb pagenum="186" xlink:href="010/01/194.jpg"/>
                <arrow.to.target n="marg239"/>
                <lb/>
              tiæ ad diuulſionem exercetur in centro I circuli AB.
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              </s>
              <s id="s.000950">Habebimus igitur vectem inflexum CBI in quo vis
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                <expan abbr="mouẽs">mouens</expan>
              M applicatur in C, reſiſtentia verò applicatur
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              in I, & fulcimentum, ſeù centrum reuolutionis vectis
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              CBI eſt punctum B quod fixum perſeuerat dum cir­
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              ca ipſum motus, & reuolutiones partium vectis
                <expan abbr="fiũt">fiunt</expan>
              ;
                <lb/>
              Quaproptèr, iuxtà leges Mechanices, reſiſtentia to­
                <lb/>
              talis ad diuulſionem, & ſeparationem ſuperficiei AB
                <lb/>
              ab ipſo pauimento ad vim
                <expan abbr="mouẽtem">mouentem</expan>
              M eamdem pro­
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              portionem habebit, quam vectis longitudo CB ad
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              oppoſitam eius portionem BI, ſcilicèt habebit eam­
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              dem proportionem. </s>
              <s id="s.000951">quam pondus S habet ad pondus
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              R. </s>
              <s id="s.000952">Verùm pondus R æquale erat potentiæ M. igitur
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              pondus S æquale erit reſiſtentię abſolutæ, & totali,
                <lb/>
              quam exercet ſuperficies AB quando diuelli, & ſe­
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              parari debet à ſuperficie paui
                <expan abbr="mẽti">menti</expan>
              tractione directa.
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              </s>
              <s id="s.000953">Hinc deducitur quòd ſi
                <expan abbr="põ-">pon­
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                </expan>
                <figure id="id.010.01.194.1.jpg" xlink:href="010/01/194/1.jpg" number="71"/>
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              dus O propoſitionis 89. di­
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              uellit columnam à pauimento
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              directione, & impetu tranſ­
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              uerſali, & perpendiculari ad
                <lb/>
              latus columnę, poterit nihilo­
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              minùs indagari
                <expan abbr="reſiſtẽtia">reſiſtentia</expan>
              ab­
                <lb/>
              ſoluta, & totalis contiguita­
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              tis, vel repugnantiæ ad vacuum earumdem ſuperfi­
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              cierum, eritque talis vis abſoluta tantomaior pon­
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              dere O, quantò altitudo columnæ CB maior eſt ſe­
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              miſſe diametri AB, & ſic ſi vis transuerſalitèr colum­
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              nam diuellens æqualis eſſet ponderi trium librarum </s>
            </p>
          </chap>
        </body>
      </text>
    </archimedes>
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