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

Page concordance

< >
Scan Original
11
12
13
14
15
16
17
18
19
20
21
22
23
24
25
26
27
28
29
30
31
32
33
34
35
36
37
38
39
40
< >
page |< < of 241 > >|
    <archimedes>
      <text>
        <body>
          <chap>
            <pb xlink:href="018/01/017.jpg" pagenum="9"/>
            <p type="margin">
              <s>
                <margin.target id="note4"/>
                <emph type="italics"/>
                <lb/>
              IV
                <lb/>
              Difficulta­
                <lb/>
              tes in heli­
                <lb/>
              cis constru­
                <lb/>
              ctione &
                <lb/>
              uſu.
                <lb/>
                <emph.end type="italics"/>
              </s>
            </p>
            <p type="main">
              <s>Aſſumantur quinque cylindri ABCDE
                <lb/>
                <arrow.to.target n="note5"/>
                <lb/>
              craſſitudine inæquali (quo enim magis à
                <lb/>
              pondere diſtant, graciliores eſſe poſſunt)
                <lb/>
              ſingulisque rota canaliculum in ambitu ex­
                <lb/>
              cauatum habens adijciatur, cuius d
                <emph type="italics"/>
              i
                <emph.end type="italics"/>
              ameter
                <lb/>
              diametri cylindri ſibi cohærentis quintupla
                <lb/>
              ſit. </s>
              <s>Demùm cylindro F addatur manubrium
                <lb/>
              OP eandem Rationem quintuplam habens
                <lb/>
              ad illius ſemidiametrum. </s>
              <s>Hi verò cylindri
                <lb/>
              paralleli in ſuo conceptaculo facilè verſatiles
                <lb/>
              ita diſponantur, vt funis ſingulas rotas am­
                <lb/>
              biens ad ſuperiorem cylindrum ductus (ſi
                <lb/>
              fieri id commode poſſit) congruat lineæ,
                <lb/>
              quæ horizonti ad perpendiculum inſiſtit. </s>
              <s>
                <lb/>
              Hìc pariter conſtat Rationem motûs poten­
                <lb/>
              tiæ P ad motum ponderis M ex rationibus
                <lb/>
              intermedijs, nimirum ſex quintuplis, com­
                <lb/>
              poni. </s>
              <s>Quarè & hìc motus potentiæ ad pon­
                <lb/>
              deris motum eſt vt 15625 ad 1, vt ſuperiùs,
                <lb/>
              Merſenne, ratiocinabaris. </s>
              <s>Maiore tameņ
                <lb/>
              fortaſsè compendio, quod hìc rotæ cylindros
                <lb/>
              non atterant, nec vllum immineat pericu­
                <lb/>
              lum, ne ex mutuâ illâ collabellatione den­
                <lb/>
              tes aliquando excutiantur: quàm ægrè au­
                <lb/>
              tem excuſſi dentis detrimento occurras, pa­
                <lb/>
              làm eſt; cum tamen diſruptum funem ite­
                <lb/>
              rum facilè connectas. </s>
            </p>
            <p type="margin">
              <s>
                <margin.target id="note5"/>
                <emph type="italics"/>
                <lb/>
              V
                <lb/>
              Axes in Pe­
                <lb/>
              ritrochio
                <expan abbr="Cõ">Com</expan>
                <lb/>
              poſiti faci­
                <lb/>
              liùs conſtru
                <lb/>
              untur, &
                <lb/>
              idem præſta
                <lb/>
              re poſsunt.
                <lb/>
                <emph.end type="italics"/>
              </s>
            </p>
            <p type="main">
              <s>Vbi licet obiter animum aduertere ad </s>
            </p>
          </chap>
        </body>
      </text>
    </archimedes>
Impressum