Casati, Paolo
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Terra machinis mota : dissertationes geometricae, mechanicae physicae hydrostaticae
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trochleæ plurium orbiculorum conſtituan</
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tur. </
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>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. </
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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.
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<
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>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</
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