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

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    <archimedes>
      <text>
        <body>
          <chap>
            <p type="main">
              <s>
                <pb xlink:href="018/01/029.jpg" pagenum="21"/>
              trochleæ plurium orbiculorum conſtituan­</s>
            </p>
            <p type="main">
              <s>
                <arrow.to.target n="note15"/>
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              tur. </s>
              <s>Exhibeantur enim, exempli gratiâ, orbi­
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              culi 60, ex quibus ſi fiant 20 trochleæ trium
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              orbiculorum, iam ſunt decem trochlearum
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              paria, ac proinde decem Rationes vt ſum­
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              mum ſeptuplæ; igitur momentum potentiæ,
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              hoc eſt vndecimus ab vnitate terminus, eſt
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              vt 282475249. Si verò fiant binos haben­
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              tes orbiculos, erunt 15 trochlearum paria,
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              ideoq quindecim Rationes quintuplæ, ex qui­
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              bus Ratio motûs potentiæ ad motum ponde­
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              ris componitur; erit igitur vt 30517578125
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              ad 1. Conſtat autem ne additis quidem ad­
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              huc duobus triſpaſtorum paribus, vt ſint in
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              vniuerſum orbiculi 72, poſſe adeò augeri po­
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              tentiæ momentum: poſitis ſiquidem 12 tri­
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              ſpaſtorum paribus momentum potentiæ eſt
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              ſolùm vt 13841287201. Hinc colligitur
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              plus ad mouendum momenti obtinere pau­
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              ciores orbiculos in ſimplicioribus trochleis,
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              quàm in trochleis maioribus plures orbicu­
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              los: id quod alicui fortaſsè paradoxum ac­
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              cidat. </s>
            </p>
            <p type="margin">
              <s>
                <margin.target id="note15"/>
                <emph type="italics"/>
              XIV
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              Pauciores
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              orbiculos in
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              ſimplicibus
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              trochleis
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              plus poſſę,
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              quàm plu­
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              res in maio­
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              ribus oſten­
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              ditur.
                <emph.end type="italics"/>
              </s>
            </p>
            <p type="main">
              <s>Nunc igitur ſi mihi orbiculos centum ex­
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              hibeas, ſimplices trochleas ex ſingulis orbi­
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              culis ſtatuo, fiuntquè 50 trochlearum ſim­
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              plicium paria: adnexo autem pondere eidem
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              trochleæ, cui funis extremum alligatur, mo­</s>
            </p>
          </chap>
        </body>
      </text>
    </archimedes>
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