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

Page concordance

< >
Scan Original
31
32
33
34
35
36
37
38
39
40
41
42
43
44
45
46
47
48
49
50
51
52
53
54
55
56
57
58
59
60
< >
page |< < of 579 > >|
    <archimedes>
      <text>
        <body>
          <chap>
            <p type="main">
              <s id="s.001463">
                <pb pagenum="282" xlink:href="010/01/290.jpg"/>
                <arrow.to.target n="marg377"/>
                <lb/>
              quòd hoc æquilibratur ab æquipondio ipſius E, &
                <lb/>
              proinde F nullam compreſſionem exercet, perinde,
                <lb/>
              ac ſi grauitate omninò careret, quare à quacumque
                <lb/>
              exiliſſima vi ſuſpendi, & ſursùm impelli poterit, ſit­
                <lb/>
                <figure id="id.010.01.290.1.jpg" xlink:href="010/01/290/1.jpg"/>
                <lb/>
              que talis vis ſuſpenſiua, vna pars
                <lb/>
              quarta
                <expan abbr="põderis">ponderis</expan>
              ipſius F, igitur
                <expan abbr="põ-dus">pon­
                  <lb/>
                dus</expan>
              quod F exercet, erit tres quar­
                <lb/>
              tæ partes totius ponderis E, igitur
                <lb/>
              non ampliùs fiet æquilibrium, ſed
                <lb/>
              pondus E exercebit quadrantem
                <lb/>
              totius ſui ponderis, & cum hoc
                <expan abbr="cõ-primet">com­
                  <lb/>
                primet</expan>
                <expan abbr="ſubiectã">ſubiectam</expan>
              a
                <expan abbr="quã">quam</expan>
              C, & proin­
                <lb/>
              dè eleuare poterit in oppoſito tu­
                <lb/>
              bo ſiphonis aquæ molem BM, cu­
                <lb/>
              ius pondus vna quarta pars ſit
                <lb/>
              ponderis E, vel F. </s>
              <s id="s.001464">Poſteà denuò ſuperaddita cau­
                <lb/>
              fa externa ſursùm F impellente, & ſuſtentante, vt
                <lb/>
              nimirùm remaneat vis comprimens ipſius E immi­
                <lb/>
              nuta, & æqualis medietati ponderis E. </s>
              <s id="s.001465">Manifeſtum̨
                <lb/>
              eſt magis æquilibrium ſuperare graue E, ſcilicèt eius
                <lb/>
              momentum erit æquale dimidio totius eius ponderis
                <lb/>
              E, vel F, proindeque eleuabit duplam aquæ molem
                <lb/>
              in aduerſo tubo vſque ad O, vt nimirùm moles aquæ
                <lb/>
              BO dupla ſit ipſius BM, & ſic vlteriùs adueniente no­
                <lb/>
              ua vi ſuſtentante pondus F ſemper magis diminuetur
                <lb/>
              ipſius F compreſſio, & tantumdèm præcisè creſcet
                <lb/>
              momentum ponderis E, & tantundem augebitur ele­
                <lb/>
              uatio aquæ in tubo BR, quaproptèr conſtat quod à
                <lb/>
              maiori vi ſursùm
                <expan abbr="impellẽte">impellente</expan>
              pondus F neceſſariò ma-</s>
            </p>
          </chap>
        </body>
      </text>
    </archimedes>