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.001506">
                <pb pagenum="289" xlink:href="010/01/297.jpg"/>
                <arrow.to.target n="marg387"/>
              </s>
            </p>
            <p type="margin">
              <s id="s.001507">
                <margin.target id="marg387"/>
              Cap. 7. dę
                <lb/>
              natura flui­
                <lb/>
              ditatis.</s>
            </p>
            <p type="main">
              <s id="s.001508">
                <emph type="center"/>
              PROP. CXXXVI.
                <emph.end type="center"/>
              </s>
            </p>
            <p type="main">
              <s id="s.001509">
                <emph type="center"/>
                <emph type="italics"/>
              Partes quantæ actu infinitæ numero, & inter ſe inæquales
                <lb/>
              componunt extenſionem infinitam.
                <emph.end type="italics"/>
                <emph.end type="center"/>
              </s>
            </p>
            <p type="main">
              <s id="s.001510">SInt partes AB, CD, EF, GH, IK, &c. </s>
              <s id="s.001511">numero in­
                <lb/>
              finitæ, & inter ſe inæquales. </s>
              <s id="s.001512">Dico extenſionem
                <lb/>
              infinitam conflare. </s>
              <s id="s.001513">Quia dantur omnes partes quan­
                <lb/>
              tæ numero infinitæ, ergò datur earum minima, quæ
                <lb/>
              ſit AB, & ex reliquis maioribus ſecentur portiones
                <lb/>
              CL, EM, GN, &c. </s>
              <s id="s.001514">ſingulæ æquales minimæ AB; &
                <lb/>
              quia particulæ infinitæ inæquales
                <lb/>
                <figure id="id.010.01.297.1.jpg" xlink:href="010/01/297/1.jpg" number="113"/>
                <lb/>
              AB, CD, EF, &c. </s>
              <s id="s.001515">maiorem exten­
                <lb/>
              ſionem
                <expan abbr="componũt">componunt</expan>
              , quàm partes in­
                <lb/>
              finitæ diminutæ, inter ſe æquales
                <lb/>
              AB, CL, EM, &c. </s>
              <s id="s.001516">&, ex præcedenti,
                <lb/>
              infinitæ particulæ quantæ eiuſdem generis AB, CL,
                <lb/>
              EM, &c. </s>
              <s id="s.001517">inter ſe æquales componunt extenſionem̨
                <lb/>
              infinitam, ergò multò magis inſi initæ partes illis ma­
                <lb/>
              iores inæquales AB, CD, EF, &c. </s>
              <s id="s.001518">extenſionem infi­
                <lb/>
              nitam efficient, quod erat. </s>
            </p>
            <p type="main">
              <s id="s.001519">
                <emph type="center"/>
              PROP. CXXXVII.
                <emph.end type="center"/>
              </s>
            </p>
            <p type="main">
              <s id="s.001520">
                <emph type="center"/>
                <emph type="italics"/>
              Si eiuſdem aggregati aliquæ partes moueantur cæteris quie­
                <lb/>
              ſcentibus, vel omnes inæqualibus motibus agitentur,
                <lb/>
              qui tamen non competant, nec aptari posſint
                <lb/>
              partibus corporis duri, & conſistentis, ne­
                <lb/>
              ceſſariò illius aggregati partes erunt
                <lb/>
              actu diuiſæ.
                <emph.end type="italics"/>
                <emph.end type="center"/>
              </s>
            </p>
          </chap>
        </body>
      </text>
    </archimedes>
Impressum