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

Page concordance

< >
Scan Original
31
32
33
34
35
36
37
38
39
40
41
42
43
44
45
46
47
48
49
50
51
52
53
54
55
56
57
58
59
60
< >
page |< < of 579 > >|
    <archimedes>
      <text>
        <body>
          <chap>
            <p type="main">
              <s id="s.001495">
                <pb pagenum="287" xlink:href="010/01/295.jpg"/>
                <arrow.to.target n="marg385"/>
                <lb/>
              plura differre videntur ab vnico puncto, quandoqui­
                <lb/>
              dem, tàm ſingulare punctum, quàm eorum multitudo
                <lb/>
              nullum ſpatium quantum occupant, contra ac contin­
                <lb/>
              git in vnitatibus, quæ ſimul coniunctæ creant magni­
                <lb/>
              tudinem numericam, ex quo proinde fit, vt vnitates
                <lb/>
              meritò partes, & elementa numeri cenſeantur, noņ
                <lb/>
              verò puncta ipſius ſubſtantiæ quantæ. </s>
              <s id="s.001496">Hinc infertur,
                <lb/>
              quod ſicut ex infinitis cyfris numerus creari non po­
                <lb/>
              reſt, & ex infinitis non entibus nequit ens confici, ſic
                <lb/>
              ex infinitis non quantis, quæ nec partes nec elementa
                <lb/>
              quantitatis ſunt, non poteſt quantum componi; ſunt­
                <lb/>
              que puncta indiuiſibilia non quanta, nec ſunt partes
                <lb/>
              aut elementa
                <expan abbr="componẽtia">componentia</expan>
              quantitatem; igitur ex in­
                <lb/>
              finitis punctis indiuiſibilibus ſubſtantia corporeą
                <lb/>
              quæ quanta eſt componi, crearique non poterit. </s>
            </p>
            <p type="margin">
              <s id="s.001497">
                <margin.target id="marg385"/>
              Cap. 7. de
                <lb/>
              natura flui­
                <lb/>
              ditatis.</s>
            </p>
            <p type="main">
              <s id="s.001498">
                <emph type="center"/>
              PROP. CXXXV.
                <emph.end type="center"/>
              </s>
            </p>
            <p type="main">
              <s id="s.001499">
                <emph type="center"/>
                <emph type="italics"/>
              Secundo loco oſtenden dum est, quòd partes quantæ
                <lb/>
              actu infinitæ, & eiuſdem menſuræ com­
                <lb/>
              ponunt extenſionem infinitam;
                <emph.end type="italics"/>
                <emph.end type="center"/>
              </s>
            </p>
            <p type="main">
              <s id="s.001500">SInt partes quantæ A, B, C, D, E, F, G, &c. </s>
              <s id="s.001501">actu in­
                <lb/>
              finitæ numero, & æquales inter ſe, dico eas ex­
                <lb/>
                <figure id="id.010.01.295.1.jpg" xlink:href="010/01/295/1.jpg" number="110"/>
                <lb/>
              tenſionem infinitam compone­
                <lb/>
              re. </s>
              <s id="s.001502">ſumatur quælibet quantitas
                <lb/>
              finita cuiuſlibet vaſtitatis RS
                <lb/>
              eiuſdem generis cum particulis
                <lb/>
              A, B, C, &c. </s>
              <s id="s.001503">profectò aut RS.
                <lb/>
              multiplex eſt ipſius A, ſcilicèt </s>
            </p>
          </chap>
        </body>
      </text>
    </archimedes>