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

Page concordance

< >
Scan Original
61
62
63
64
65
66
67
68
69
70
71
72
73
74
75
76
77
78
79
80
81
82
83
84
85
86
87
88
89
90
< >
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"/>
                <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>