Casati, Paolo, Terra machinis mota : dissertationes geometricae, mechanicae physicae hydrostaticae
page |< < of 241 > >|
    <archimedes>
      <text>
        <body>
          <chap>
            <p type="main">
              <s>
                <pb xlink:href="018/01/030.jpg" pagenum="22"/>
              mentum potentiæ erit triplum: ſunt igitur
                <lb/>
              50 Rationes triplæ, ex quibus componitur
                <lb/>
              Ratio motûs potentiæ ad motum ponderis. </s>
              <s>
                <lb/>
              Quærendus iraque eſt terminus in progreſ­
                <lb/>
              ſione datæ Rationis triplæ ab vnitate quin­
                <lb/>
              quageſimus primus. </s>
            </p>
            <p type="main">
              <s>Ratio autem tripla quintuplicata eſt 243
                <lb/>
              ad 1. Ducatur 243 per ſe ipſum, & eſt Ra­
                <lb/>
              tio decuplicata 59049 ad 1. Hic iterum ter­
                <lb/>
              minus 59049 per ſe ipſum ducatur, & Ratio
                <lb/>
              3486.784401 ad 1 eſt ex viginti Rationi­
                <lb/>
              bus triplis compoſita. </s>
              <s>Ducatur pariter 3486.
                <lb/>
              784401 per ſe ipſum, & eſt Ratio ex qua­
                <lb/>
              draginta Rationibus triplis compoſita 12.
                <lb/>
              157665.459056.928801. ad 1. Hæc de­
                <lb/>
              mùm Ratio ducatur per Rationem triplam
                <lb/>
              decuplicatam nimirum per 59049, & pro­
                <lb/>
              ducitur Ratio, quæ ex 50 Rationibus tri­
                <lb/>
              plis componitur 717897.987691.852588.
                <lb/>
              770249. ad 1. </s>
            </p>
            <p type="main">
              <s>Quod ſi placeat duas adhuc trochleas ter­
                <lb/>
              nis orbiculis inſtructas adijcere ipſique pon­
                <lb/>
              deri immediatè adnectere, vt funium ſeptu­
                <lb/>
              plici ductu faciliùs ſuſtineri valeat, adhuc
                <lb/>
              Ratio ſeptupla addenda, vt ex hac & 50 tri­
                <lb/>
              plis tota Ratio componatur: & quinquageſi­
                <lb/>
              mus primus terminus progreſsionis Rationis
                <lb/>
              triplæ ducendus eſt per 7, vt habeatur totum </s>
            </p>
          </chap>
        </body>
      </text>
    </archimedes>