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

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              <s>
                <pb xlink:href="018/01/027.jpg" pagenum="19"/>
              plicatis trochleis æquali orbiculorum nume­
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              ro inſtructis, motum potentiæ in E haberę
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              Rationem duplicatam Rationis, quam habet
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              motus potentiæ in F ad motum ponderis in
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              P: multiplicatis autem pari numero in ea­
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              dem trochleâ orbiculis, ne duplicari quidem
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              motum ipſius potentiæ F. </s>
              <s>Quod ſi in E pa­
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              riter duæ aliæ trochleæ ſimiles adiicerentur,
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              iam triplicaretur Ratio motûs in F ad mo­
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              tum in P, & ſic deinceps. </s>
              <s>Vno verbo di­
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              cam: quot ſunt paria ſimilium trochlearum,
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              progreſſio fit tot Rationum ſimilium Ratio­
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              ni, quam habet motus ponderis ad motum
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              potentiæ primis trochleis applicatæ. </s>
              <s>Sic ſi
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              eſſent talium, quales exhibui, trochlearum̨
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              paria decem, aſſumendæ eſſent decem Ra­
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              tiones quintuplæ; & motus potentiæ ad mo­
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              tum ponderis Rationem haberet ex his com­
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              poſitam, quam ſcilicet habet vndecimus ter­
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              minus in progreſsione Rationis quintuplæ
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              ad vnitatem, hoc eſt 9765625 ad 1. </s>
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              Merſ.
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              </s>
              <s> Si igitur trochleæ omnes ABCD
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                <arrow.to.target n="note13"/>
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              triſpaſti eſſent, vnicus equus in E idem pon­
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              dus trahere poſſet, quod equi 49; cum ta­
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              men in F, ſi A & B tripaſti fuerint, idem
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              valeat trahere quod equi ſeptem: ſi vero A
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              & B ſenis inſtruerentur orbiculis, æquiuale­
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              ret equis tredecim. </s>
              <s>Quis ergo adeò debilis </s>
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          </chap>
        </body>
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