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

List of thumbnails

< >
21
21 		22
22
23
23 		24
24
25
25 		26
26
27
27 		28
28
29
29 		30
30
< >
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