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.000077">
                <pb pagenum="13" xlink:href="010/01/021.jpg"/>
                <arrow.to.target n="marg13"/>
              </s>
            </p>
            <p type="margin">
              <s id="s.000078">
                <margin.target id="marg12"/>
              Cap. 2. de
                <lb/>
              momentis
                <lb/>
              grauium in
                <lb/>
              fluido inna­
                <lb/>
              tantium</s>
            </p>
            <p type="margin">
              <s id="s.000079">
                <margin.target id="marg13"/>
              Cap. 2. dę
                <lb/>
              momentis
                <lb/>
              grauium in
                <lb/>
              fluido inna­
                <lb/>
              tantium</s>
            </p>
            <p type="main">
              <s id="s.000080">
                <emph type="center"/>
              PROP. IV.
                <emph.end type="center"/>
              </s>
            </p>
            <p type="main">
              <s id="s.000081">
                <emph type="center"/>
                <emph type="italics"/>
              In canali seu ſiphone habente duo brachia directa, &
                <lb/>
              perpendiculariter eleuata ad horizontem, fluidi
                <lb/>
              in eo deſcendentis centrum grauitatis cur­
                <lb/>
              uo itinere per lineam parabolicam
                <lb/>
              deſcendit.
                <emph.end type="italics"/>
                <emph.end type="center"/>
              </s>
            </p>
            <p type="main">
              <s id="s.000082">IN ſiphone TFGV ſint duo canales TF & GV pa­
                <lb/>
              ralleli inter ſe, & erecti perpendiculariter ad ba­
                <lb/>
              ſim FG, & ad horizontem, & quilibet eorum æquè
                <lb/>
              craſſus ſit; capacitas verò portionis cylindri TF ſu­
                <lb/>
              pra horizontalem per V eductam vt eſt TA in primo
                <lb/>
              caſu, & TC in ſecundo, ſit æqualis
                <lb/>
                <figure id="id.010.01.021.1.jpg" xlink:href="010/01/021/1.jpg" number="7"/>
                <lb/>
              capacitati GV, quæ ſecetur iņ
                <lb/>
              quotcumque partes æquales à qua
                <lb/>
              ternario menſuratas in X, Y, Z, I,
                <lb/>
              L, 2, & puncta A, B, C, D, E, ſint
                <lb/>
              centra grauitatum cylindrorum T
                <lb/>
              F, XF, YF, ZF, & AF, vel CF, pa­
                <lb/>
              riterque H, I, K, L ſint centra gra­
                <lb/>
              uitatum cylindrorum GI, GL, G2,
                <lb/>
              GV, & quia centra grauitatum A,
                <lb/>
              & B, bifariam ſecant cylindros T
                <lb/>
              F, XF, ergo TF ad XF ſe habet vt
                <lb/>
              AF, ad BF, & per conuerſionem̨
                <lb/>
              rationis, & permutando TF ad AF
                <lb/>
              eamdem rationem habet, quàm TX ad AB, quarę
                <lb/>
              AB ſemiſſis eſt ipſius TX, non ſecus ac HG mediatas </s>
            </p>
          </chap>
        </body>
      </text>
    </archimedes>
Impressum