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>
            <pb pagenum="5" xlink:href="010/01/013.jpg"/>
            <p type="main">
              <s id="s.000050">
                <arrow.to.target n="marg5"/>
                <lb/>
              percipitur quomodo à naturali operatione, deſcen­
                <lb/>
              ſus nempè deorſum, produci debeat operatio
                <expan abbr="quædã">quædam</expan>
                <lb/>
              contraria, aſcenſus nimirum alterius partis eiuſdem
                <lb/>
              fluidi ſcilicet recedendo a centro telluris. </s>
              <s id="s.000051">erit igitur
                <lb/>
              operæpretium perſpicuè oſtendere veritatem præ­
                <lb/>
              dictæ operationis, eamque deducere ex principijs
                <lb/>
              magis notis, & euidentibus. </s>
            </p>
            <p type="margin">
              <s id="s.000052">
                <margin.target id="marg5"/>
              Cap. 2. dę
                <lb/>
              momentis
                <lb/>
              grauium in
                <lb/>
              fluido inna­
                <lb/>
              tantium.</s>
            </p>
            <p type="main">
              <s id="s.000053">
                <emph type="center"/>
              PROPOSITIO I.
                <emph.end type="center"/>
              </s>
            </p>
            <p type="main">
              <s id="s.000054">
                <emph type="center"/>
                <emph type="italics"/>
              Grauis ſuſpenſi non ex centro ſuæ grauitatis vna eius pars
                <lb/>
              ſurſum aſcendit quiæ integrum graue
                <expan abbr="deorsũ">deorsum</expan>
              deſcendit.
                <emph.end type="italics"/>
                <emph.end type="center"/>
              </s>
            </p>
            <p type="main">
              <s id="s.000055">Sit graue AB extenſum, vel compoſitum ex dua­
                <lb/>
              bus partibus in extremitatibus eiuſdem libræ
                <lb/>
              horizontalis AB diſpoſitis, & commune centrum gra­
                <lb/>
              uitatis earum ſit D. ſuſti­
                <lb/>
                <figure id="id.010.01.013.1.jpg" xlink:href="010/01/013/1.jpg" number="2"/>
                <lb/>
              neatur poſtea, fulciatur­
                <lb/>
              que tota libra ex puncto
                <lb/>
              C remoto à centro graui­
                <lb/>
              tatis D. dico quòd pars
                <lb/>
              eius oppoſita B ſurſum̨
                <lb/>
              aſcendet per arcum BF,
                <lb/>
              hac ſolummodo de cauſą
                <lb/>
              quia integrum graue AB magis, quàm prius ad cen­
                <lb/>
              trum terræ accedit. </s>
              <s id="s.000056">quia duæ partes graues A & B
                <lb/>
              exercent ſuam grauitatem & conatum compreſſiuum
                <lb/>
              in centro communi earum grauitatum D; eſt que
                <lb/>
              prædictum centrum D remotum à fulcimento ſtabili
                <lb/>
              C, igitur efformabitur veluti fune-pendulum CD </s>
            </p>
          </chap>
        </body>
      </text>
    </archimedes>