Casati, Paolo, Terra machinis mota : dissertationes geometricae, mechanicae physicae hydrostaticae

Page concordance

< >
Scan Original
41
42
43
44
45
46
47
48
49
50
51
52
53
54
55
56
57
58
59
60
61
62
63
64
65
66
67
68
69
70
< >
page |< < of 241 > >|
    <archimedes>
      <text>
        <body>
          <chap>
            <p type="main">
              <s>
                <pb xlink:href="018/01/020.jpg" pagenum="12"/>
              tur rotæ B circumduceretur funis pedum
                <lb/>
              250, nec diſpari argumentatione conficitur
                <lb/>
              rotam tertiam C exigere funem pedum
                <lb/>
              1250, quartam D 6250, quintam demùm
                <lb/>
              E 31250: ex quibus conflatur ſumma pe­
                <lb/>
              dum 39060, quæ eſſet totius funis longitu­
                <lb/>
              do. </s>
              <s>Liceat autem hìc diſſimulanter præte­
                <lb/>
              rire immodicam rotarum E, D, & C craſſi­
                <lb/>
              tudinem, vt tàm longus funis earum am­
                <lb/>
              bitûs terminis contineri poſſet. </s>
              <s>Nam ſi mul­
                <lb/>
              tiplici ſpirarum ſerie ita duceretur funis, vt
                <lb/>
              ipſe ſe circumplecteretur, motuum Ratio­
                <lb/>
              nes, &, quod inde conſequitur, potentiæ mo­
                <lb/>
              menta, ipsâ euolutione mutarentur, auctis
                <lb/>
              ſcilicet aut diminutis ex ſubiectâ ſpirarum ſe­
                <lb/>
              rie rotarum ac cylindorum diametris. </s>
            </p>
            <p type="margin">
              <s>
                <margin.target id="note7"/>
                <emph type="italics"/>
              VII
                <lb/>
              Difficultati
                <lb/>
              ex funis lon
                <lb/>
              gitudine.
                <emph.end type="italics"/>
              </s>
            </p>
            <p type="main">
              <s>
                <emph type="italics"/>
              Gal.
                <emph.end type="italics"/>
              Hæc eadem, quæ nunc obijcis, mi­
                <lb/>
                <arrow.to.target n="note8"/>
                <lb/>
              hi pariter aliquandò non nihil fecere negotij. </s>
              <s>
                <lb/>
              Et primùm quidem earum rotularum, qua­
                <lb/>
              rum velocior eſt motus, funes quoquè gra­
                <lb/>
              ciliores eſſe debere obſeruabam, quippe qui­
                <lb/>
              bus ponderis grauitas minùs reluctetur. </s>
              <s>Hinc
                <lb/>
              verò ſatis commodâ conſecutione conficie­
                <lb/>
              bam fieri poſſe, vt exiguis ſpatijs tanta funi­
                <lb/>
              culi longitudo citrà incommodum compre­
                <lb/>
              henderetur. </s>
              <s>Deinde quamuis non adeò lon­
                <lb/>
              gus ſuppeteret funiculus, operæ pretium vi­
                <lb/>
              debatur futurum, ſi illo euoluto rotas ſi­</s>
            </p>
          </chap>
        </body>
      </text>
    </archimedes>
Impressum