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

Page concordance

< >
Scan Original
21
22
23
24
25
26
27
28
29
30
31
32
33
34
35
36
37
38
39
40
41
42
43
44
45
46
47
48
49
50
< >
page |< < of 579 > >|
    <archimedes>
      <text>
        <body>
          <chap>
            <p type="main">
              <s id="s.000139">
                <pb pagenum="29" xlink:href="010/01/037.jpg"/>
                <arrow.to.target n="marg29"/>
              </s>
            </p>
            <p type="margin">
              <s id="s.000140">
                <margin.target id="marg29"/>
              Cap. 2. dę
                <lb/>
              momentis
                <lb/>
              grauium in
                <lb/>
              fluido inna­
                <lb/>
              tantium.</s>
            </p>
            <p type="main">
              <s id="s.000141">
                <emph type="center"/>
              PROP. XI.
                <emph.end type="center"/>
              </s>
            </p>
            <p type="main">
              <s id="s.000142">
                <emph type="center"/>
                <emph type="italics"/>
              Si verò corpus ſolidum ponitur ſupra aquæ libellam,
                <lb/>
              tunc deſcenſus communis centri grauitatis non
                <lb/>
              efficietur per lineam perpendicularem ad
                <lb/>
              horizontem ſed motu curuo per
                <lb/>
              parabolam.
                <emph.end type="italics"/>
                <emph.end type="center"/>
              </s>
            </p>
            <p type="main">
              <s id="s.000143">IN progreſſu prædictæ operationis notabilis eſt va­
                <lb/>
              riatio ſitus centri grauitatis eius & mechanicæ eius
                <lb/>
              operationis. </s>
            </p>
            <p type="main">
              <s id="s.000144">Sit igitur in eodem vaſe priſma ligneum ABCD
                <lb/>
              perductum ad ſupremam aquæ libellam RX, tunc ſi­
                <lb/>
              militer inter ſe comparantur duo priſmata BD ligno­
                <lb/>
              um, & AH aqueum in eodem plano horizontali ſu­
                <lb/>
              biecto HC inſiſtentes, & proindè
                <lb/>
                <figure id="id.010.01.037.1.jpg" xlink:href="010/01/037/1.jpg" number="15"/>
                <lb/>
              efficitur libra imaginaria PO mo­
                <lb/>
              bilis circa eius fulcimentum Q, &
                <lb/>
              centrum grauitatis
                <expan abbr="eorumdẽ">eorumdem</expan>
              cor­
                <lb/>
              porum cadit ad partes aquæ nem­
                <lb/>
              pè in Y inter
                <expan abbr="cẽtrum">centrum</expan>
              Q & extremitatem radij P. hinc
                <lb/>
              ergo ſe quitur vt prædicta libra flecti debeat deorsùm
                <lb/>
              ad partes Y & ſurſum aſcendat terminus O vnà cum li­
                <lb/>
              gno versùs aquæ libellam ſupremam RX, igitur por­
                <lb/>
              tio aliqua ligni ſuprema eleuabitur ſupra prædictam
                <lb/>
              aquæ libellam, vt patet in poſtrema figura, & tunc
                <lb/>
                <expan abbr="quidẽ">quidem</expan>
              ſucceſſiuè imminuitur priſma
                <expan abbr="aqueũ">aqueum</expan>
              GD prout
                <lb/>
              magis ligneum priſma exurgit, eminetque ſupra aquę
                <lb/>
              libellam, & in prædicto aſcenſu dum collaterale priſ-</s>
            </p>
          </chap>
        </body>
      </text>
    </archimedes>
Impressum