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

Page concordance

< >
Scan Original
21
22
23
24
25
26
27
28
29
30
31
32
33
34
35
36
37
38
39
40
41
42
43
44
45
46
47
48
49
50
< >
page |< < of 241 > >|
    <archimedes>
      <text>
        <body>
          <chap>
            <p type="main">
              <s>
                <pb xlink:href="018/01/025.jpg" pagenum="17"/>
              Ratio ad Conſequentem triplum aut qua­
                <lb/>
              druplum, quàm ad alium Conſequentem̨
                <lb/>
              terminum Rationis triplicatæ aut quadru­
                <lb/>
              plicatæ, etiam ſi propoſita Ratio ſubduplą
                <lb/>
              eſſet: ſic ſi fuerit Ratio 2 ad 4, triplus Con­
                <lb/>
              ſequens eſt 12. Conſequens verò Rationis tri­
                <lb/>
              plicatæ eſt 16: eſt autem maior Ratio 2 ad
                <lb/>
              12, quàm 2 ad 16. </s>
            </p>
            <p type="margin">
              <s>
                <margin.target id="note11"/>
                <emph type="italics"/>
              X
                <lb/>
              Maior est
                <lb/>
              Ratio ad ter
                <lb/>
              minum̨
                <lb/>
              Multipli­
                <lb/>
              cem, quàm
                <lb/>
              ad termi­
                <lb/>
              num Ratio­
                <lb/>
              nis ſimiliter
                <lb/>
              Multiplica­
                <lb/>
              tæ.
                <emph.end type="italics"/>
              </s>
            </p>
            <p type="main">
              <s>Hinc infero maximum eſſe diſcrimen iņ
                <lb/>
              augendo potentiæ momento, vtrùm trochleæ
                <lb/>
              augeantur orbiculis, an verò trochleæ mul­
                <lb/>
              tiplices ex iiſdem orbiculis conſtituantur. </s>
              <s>Si
                <lb/>
              enim trochleæ duæ S & R, quas nuperrimè
                <lb/>
              deſcripſiſti, binis prætereà orbiculis augean­
                <lb/>
              tur, ita vt ſingulæ quaternos habeant, mani­
                <lb/>
              feſtum eſt potentiam in K, quæ priùs mo­
                <lb/>
              tum habebat quadruplum motûs ponderis in
                <lb/>
              R conſtituti, factâ huiuſmodi orbiculorum
                <lb/>
              acceſsione, motum habere octuplum, vel
                <lb/>
              quæ priùs quintuplò velocior erat pondere in
                <lb/>
              S adnexo, factam eſſe noncuplò velociorem. </s>
              <s>
                <lb/>
              At ſi quatuor hoſce orbiculos non adijcias
                <lb/>
              prioribus, ſed duas alias trochleas ex illis com­
                <lb/>
              ponas, iam multò maior eſt potentiæ motus
                <lb/>
              cum ponderis motu comparatus. </s>
            </p>
            <p type="main">
              <s>Sint duæ trochleæ binos orbiculos haben­
                <lb/>
              tes A & B: huic autem tum pondus P, tum
                <lb/>
              funis extremum adnectatur. </s>
              <s>Vtique poten­</s>
            </p>
          </chap>
        </body>
      </text>
    </archimedes>
Impressum