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

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    <archimedes>
      <text>
        <body>
          <chap>
            <p type="main">
              <s id="s.002100">
                <pb pagenum="412" xlink:href="010/01/420.jpg"/>
                <arrow.to.target n="marg534"/>
                <lb/>
              neceſsè eſt vt aucta decliuitate vniatur cum infimą
                <lb/>
              accliuitate D3, & ideò neceſsè eſt vt ſuperficies
                <expan abbr="cõ-poſita">con­
                  <lb/>
                poſita</expan>
              montis ETD ſit multò magis erecta, & accliuis
                <lb/>
              quam priùs; & ducta perpendiculari TY ſupra MN,
                <lb/>
              eam ſecet in Y & vaſis fundum in Z: & quia momen­
                <lb/>
              tum portionis aquei anuli CDTY maius eſt momen­
                <lb/>
              to eiuſdem ſectoris aquei anuli
                <expan abbr="nõ">non</expan>
              imminuti CDGQ
                <lb/>
              (non
                <expan abbr="quidẽ">quidem</expan>
              ratione molis, cùm hæc nec iuuet in hoc
                <lb/>
              negotio, nec noceat, vt dictum eſt, ſed quia eius
                <expan abbr="mõ-tuoſa">mon­
                  <lb/>
                tuoſa</expan>
              ſuperficies DTE facta eſt decliuior, & magis
                <lb/>
                <arrow.to.target n="marg535"/>
                <lb/>
              ad perpendicularem
                <expan abbr="accedẽs">accedens</expan>
              , quàm priùs); erat verò
                <lb/>
              momentum integræ portionis anuli aquei CDGQ æ­
                <lb/>
              quale momento ſectoris laminæ 4CD, igitur momen­
                <lb/>
              tum portionis anuli aquei magis decliuis CDTY erit
                <lb/>
                <figure id="id.010.01.420.1.jpg" xlink:href="010/01/420/1.jpg" number="145"/>
                <lb/>
              maius momento ſe­
                <lb/>
              ctoris laminæ 4CD,
                <lb/>
              & premunt ambo
                <lb/>
              partes aquæ ſubie­
                <lb/>
              ctas 4P, & CZ
                <expan abbr="cõ-tinuatas">con­
                  <lb/>
                tinuatas</expan>
              , & æquali­
                <lb/>
              ter diſpoſitas ſupra idipſum planum horizontale MB
                <lb/>
              CY, quapropter (ex demonſtratis) prædicta lamina
                <lb/>
                <arrow.to.target n="marg536"/>
                <lb/>
              AC diſcedet, remouebiturque ab YZ. eadem ratio­
                <lb/>
              ne reliqua aſſula EH remoueri debet, fugereque à vi­
                <lb/>
              cinia YZ, cum expelli debeat lateralitèr aqua ſubie­
                <lb/>
              cta RF vnà cum inſiſtente lamina, propterea quod à
                <lb/>
              magis preſſa aqua FZ expelli debet; Patet igitur duo
                <lb/>
              corpora AC, & EH ſegregari debere, & vnum ab al­
                <lb/>
              tero ſugere quotieſcumque duo eorum argines con-</s>
            </p>
          </chap>
        </body>
      </text>
    </archimedes>
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