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

Page concordance

< >
Scan Original
51
52
53
54
55
56
57
58
59
60
61
62
63
64
65
66
67
68
69
70
71
72
73
74
75
76
77
78
79
80
< >
page |< < of 579 > >|
    <archimedes>
      <text>
        <body>
          <chap>
            <p type="main">
              <s id="s.000094">
                <pb pagenum="18" xlink:href="010/01/026.jpg"/>
                <arrow.to.target n="marg18"/>
                <lb/>
              dem latitudinis ſiuè non, ſemper centrum communis
                <lb/>
              grauitatis fluidi in deſcenſu parabolam deſcribet; ſi
                <lb/>
              verò brachia ſiphonis æquè inclinata ad horizontem
                <lb/>
              fuerint, deſcribet eius centrum in deſcenſu parabo­
                <lb/>
              lam quotieſcumque brachia æquè craſſa fuerint. </s>
            </p>
            <p type="margin">
              <s id="s.000095">
                <margin.target id="marg18"/>
              Cap. 2. dę
                <lb/>
              momentis
                <lb/>
              grauium in
                <lb/>
              fluido inna­
                <lb/>
              tantium</s>
            </p>
            <p type="main">
              <s id="s.000096">
                <emph type="center"/>
              COROLLARIVM I.
                <emph.end type="center"/>
              </s>
            </p>
            <p type="main">
              <s id="s.000097">Siverò in eodem angulari ſiphone vnum brachium
                <lb/>
              dilatatum, alterum verò gracile fuerit, tunc eius
                <expan abbr="cẽ-trum">cen­
                  <lb/>
                trum</expan>
              in deſcenſu curuam deſcribet hyperbolam̨
                <lb/>
              ęmulantem. </s>
            </p>
            <p type="main">
              <s id="s.000098">
                <emph type="center"/>
              COROLLARIVM II.
                <emph.end type="center"/>
              </s>
            </p>
            <p type="main">
              <s id="s.000099">Et tandem ſi vnum brachiorum perpendicularę
                <lb/>
              fuerit ad horizontem, reliquum verò inclinatum in de­
                <lb/>
              ſcenſu deſcribet commune centrum grauitatis
                <expan abbr="curuã">curuam</expan>
                <lb/>
              ellipſim æmulantem. </s>
            </p>
            <p type="main">
              <s id="s.000100">His præmiſſis declarari debet altera libræ, ſeu ſi­
                <lb/>
              phonis proprietas, in quo centrum grauitatis eius
                <lb/>
              mouetur non quidem motu obliquo, & curuo, ſed per
                <lb/>
              lineam rectam ad horizontem perpendicularem, pro
                <lb/>
              cuius intelligentia præmittendum eſt, quod. </s>
            </p>
            <p type="main">
              <s id="s.000101">
                <emph type="center"/>
              PROP. VI.
                <emph.end type="center"/>
              </s>
            </p>
            <p type="main">
              <s id="s.000102">
                <emph type="center"/>
                <emph type="italics"/>
              Duo pondera inæqualia fune non graui circa trochleam reuo­
                <lb/>
              luto ſuſpenſa, dum vnum eorum aſcendit centrum gra­
                <lb/>
              uitatis eorum per lineam
                <expan abbr="rectã">rectam</expan>
              ad horizontem
                <lb/>
              perpendicularem deprimitur.
                <emph.end type="italics"/>
                <emph.end type="center"/>
              </s>
            </p>
          </chap>
        </body>
      </text>
    </archimedes>