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

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    <archimedes>
      <text>
        <body>
          <chap>
            <p type="main">
              <s id="s.000948">
                <pb pagenum="185" xlink:href="010/01/193.jpg"/>
                <arrow.to.target n="marg238"/>
                <lb/>
              ponderi R, &
                <expan abbr="quã">quam</expan>
              proportionem habet ſemiſſis dia­
                <lb/>
              metri AB baſis prædictæ columnæ ad ſuam altitudi­
                <lb/>
              nem BC, eamdem habeat pondus R ad aliud pondus
                <lb/>
              S. oſtendendum modò eſt vim ponderis S æqualem
                <lb/>
              eſſe totali reſiſtentiæ contactus duarum
                <expan abbr="prædictarũ">prædictarum</expan>
                <lb/>
              ſuperficierum, ſeù potiùs æqualem eſſe vi, qua vacui
                <lb/>
              reſiſtentia ſuperatur, vel potiùs pondus S ſufficerę
                <lb/>
              ad diuellendam columnam à pauimento directa tra­
                <lb/>
              ctione, ſcilicèt detinendo, &
                <expan abbr="transferẽdo">transferendo</expan>
              baſim AB
                <lb/>
              ſemper æquidiſtantem plano baſis DE. </s>
              <s id="s.000949">Quia in actu
                <lb/>
              ſeparationis ſuperficiei AB à pauimento debet pun­
                <lb/>
              ctum eius B contingere, & inniti ipſi pauimento, &
                <lb/>
              angularitèr ſubleuari terminus oppoſitus A, vnà cum
                <lb/>
              tota baſis ſuperficie AB, efficiendo nimirùm
                <expan abbr="angulũ">angulum</expan>
                <lb/>
              cum pauimenti plano DE; & hic obſeruari debent
                <lb/>
              loca vbi duæ vires applicantur, ſcilicèt reſiſtentia, &
                <lb/>
              eius, quæ eam ſuperat, & per quam directionem tra­
                <lb/>
              hunt & vim exercent; & pater, quòd reſiſtentia iņ
                <lb/>
              omnibus
                <expan abbr="pũctis">punctis</expan>
              inferioris ſuperficiei AB exiſtit,
                <expan abbr="sũt-que">sunt­
                  <lb/>
                que</expan>
              veluti totidem fibræ
                <expan abbr="perpẽdicularitèr">perpendicularitèr</expan>
              erectę ad
                <lb/>
              planum ſubiectum, quæ cum eo coniunguntur colli­
                <lb/>
              ganturque; è contrà vis mouens M vectem CB adhi­
                <lb/>
              bet circa centrum firmum B, & quia vniuerſa reſi­
                <lb/>
              ſtentia vniformiter diſtribuitur per totam baſis ſu­
                <lb/>
              perficiem AB, reducitur, & perindè reſiſtit ac ſi iņ
                <lb/>
              centro aggregati prædictarum fibrarum collocatą
                <lb/>
              eſſet, centrum verò omnium fibrarum prædictarum
                <lb/>
              idem eſt ac centrum I, quod eſt centrum eiuſdem ba­
                <lb/>
              ſis; quaproptèr maximus conatus vniuerſæ reſiſten-</s>
            </p>
          </chap>
        </body>
      </text>
    </archimedes>
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