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="018/01/024.jpg" pagenum="16"/>
              K ad trochleam R fixam accedit, illamquę
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              tanto ſpatio tranſgreditur, quanta eſt funis
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              longitudo: igitur in toto motu percurrit ſpa­
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              tium quintuplum eius, quod à pondere ver­
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              sùs trochleam R moto perficitur. </s>
              <s>Quoniam
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              autem quò tardior eſt ponderis motus cum
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              motu potentiæ comparatus, eò minùs pon­
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              deris grauitas virtuti potentiæ trahentis ob­
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              ſiſtit; apertum eſt ac manifeſtum faciliùs
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              trahi pondus, ſi trochleæ S (cui funis in A
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              adnectitur) quàm ſi trochleæ R alligetur: in
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              S nimirum motum obtinet motûs potentiæ
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              ſubquintuplum, in R autem ſubquadru­
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              plum. </s>
            </p>
            <p type="margin">
              <s>
                <margin.target id="note10"/>
                <emph type="italics"/>
              IX
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              Non æqua­
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              li facilitate
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              moueri pon­
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              dus. </s>
              <s>vtrili­
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              bet trochleæ
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              adnexum̨,
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              demonstra­
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              tur.
                <emph.end type="italics"/>
              </s>
            </p>
            <p type="main">
              <s>
                <emph type="italics"/>
              Gal.
                <emph.end type="italics"/>
              </s>
              <s> Quod præterea Ratione aliquâ min
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              noris Inæqualitatis propoſitâ, Antecedens
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                <arrow.to.target n="note11"/>
                <lb/>
              terminus ad Conſequentem duplum maio­
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              rem habeat Rationem, quàm ad alium Con­
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              ſequentem, ad quem habeat Rationem pro­
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              poſitæ rationis duplicatam (ſi tamen ſubdu­
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              plam excipias, cùm eadem ſumma fiat ex
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              duplicis binarij additione, ac ex mutuâ illo­
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              rum multiplicatione) nihil habet dubitatio­
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              nis. </s>
              <s>Datâ ſiquidem Ratione ſubtriplâ 3 ad
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              9, ſi Conſequens 9 geminetur, & fiat 18,
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              Ratio autem duplicetur inuento tertio con­
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              tinuè proportionali 27, maior eſt Ratio 3 ad
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              18, quàm 3 ad 27. Similiter maior erit </s>
            </p>
          </chap>
        </body>
      </text>
    </archimedes>
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