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

Page concordance

< >
Scan Original
41
42
43
44
45
46
47
48
49
50
51
52
53
54
55
56
57
58
59
60
61
62
63
64
65
66
67
68
69
70
< >
page |< < of 579 > >|
    <archimedes>
      <text>
        <body>
          <chap>
            <p type="main">
              <s id="s.001102">
                <pb pagenum="213" xlink:href="010/01/221.jpg"/>
                <arrow.to.target n="marg284"/>
                <lb/>
              bus obſeruamus à qua præcisè prohibeatur tranſitus
                <lb/>
              fluidi per rimas laterales, poſtea impleatur reliqua
                <lb/>
              pars fiſtulæ AB aqua, & tandèm eadem vitrea fiſtu­
                <lb/>
              la termino I libræ IL radiorum æqualium ſuſpenda­
                <lb/>
              tur, atque ab oppoſito termino eius L pendeat pon­
                <lb/>
              dus M æquale ponderi ipſius vitri AC. videndum̨
                <lb/>
              modò eſt an à ſimplici pondere M ſuſtineri poſſit vi­
                <lb/>
              trea fiſtula AC, & patet non ſufficere, quia in ſipho­
                <lb/>
              ne ACGH pondus cylindri aquei HG æquatur præ­
                <lb/>
              cisè ponderi mercurij BC, cumque pręterea aqua
                <expan abbr="cõ-tenta">con­
                  <lb/>
                tenta</expan>
              in ſpatio fiſtulæ AB ferè æqualis ſit aquæ HG,
                <lb/>
              ergò ſumma aquæ AB, & mercurij BC duplo grauior
                <lb/>
              eſt, quam ſit cylindrus aqueus HG vt nimirùm ſi a­
                <lb/>
              qua HG fuerit vnius libræ erunt mercurius CB, &
                <lb/>
              aqua AB ferè duarum librarum (non conſiderato
                <expan abbr="põ-dere">pon­
                  <lb/>
                dere</expan>
              ipſius vitri AC,) ergò vt fiat æquilibrium de­
                <lb/>
              bet addi ponderi M aliud pondus O, quod ſit æqua­
                <lb/>
              le ponderi aquæ AB, & tunc in infima libra CEG,
                <lb/>
              ſeu ſiphone eſſicitur æquilibrium inter cylindrum a­
                <lb/>
              queum HG, & mercurium CB, in ſuprema verò li­
                <lb/>
              bra IL efficitur æquilibrium inter fiſtulam vitream̨
                <lb/>
              AC, vnà cum aqua AB ex vna parte, & ponderæ M,
                <lb/>
              O ex altera parte. </s>
              <s id="s.001103">Igitur quia reuera mercurius CB
                <lb/>
              non ſuſtinetur à potentia O ſubleuante
                <expan abbr="librã">libram</expan>
                <expan abbr="ſupre-mã">ſupre­
                  <lb/>
                mam</expan>
              , cum nimirùm ſuſtineatur à collaterali aqua HG,
                <lb/>
              eſt impoſſibile fiſtulam vitream AC ſuſtineri à ſo­
                <lb/>
              litario pondere M æquale grauitati ipſius vitri, niſi
                <lb/>
              inſuper addatur alia potentia O, quæ ſuſtineat cy­
                <lb/>
              lindrum aqueum AB æquè graue ferè, ac|eſt mercu­
                <lb/>
              rius CB. </s>
            </p>
          </chap>
        </body>
      </text>
    </archimedes>
Impressum