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

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1trochleæ plurium orbiculorum conſtituan­

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

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