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

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1mentum potentiæ erit triplum: ſunt igitur
50 Rationes triplæ, ex quibus componitur
Ratio motûs potentiæ ad motum ponderis.
Quærendus iraque eſt terminus in progreſ­
ſione datæ Rationis triplæ ab vnitate quin­
quageſimus primus.
Ratio autem tripla quintuplicata eſt 243
ad 1. Ducatur 243 per ſe ipſum, & eſt Ra­
tio decuplicata 59049 ad 1. Hic iterum ter­
minus 59049 per ſe ipſum ducatur, & Ratio
3486.784401 ad 1 eſt ex viginti Rationi­
bus triplis compoſita. Ducatur pariter 3486.
784401 per ſe ipſum, & eſt Ratio ex qua­
draginta Rationibus triplis compoſita 12.
157665.459056.928801. ad 1. Hæc de­
mùm Ratio ducatur per Rationem triplam
decuplicatam nimirum per 59049, & pro­
ducitur Ratio, quæ ex 50 Rationibus tri­
plis componitur 717897.987691.852588.
770249. ad 1.
Quod ſi placeat duas adhuc trochleas ter­
nis orbiculis inſtructas adijcere ipſique pon­
deri immediatè adnectere, vt funium ſeptu­
plici ductu faciliùs ſuſtineri valeat, adhuc
Ratio ſeptupla addenda, vt ex hac & 50 tri­
plis tota Ratio componatur: & quinquageſi­
mus primus terminus progreſsionis Rationis
triplæ ducendus eſt per 7, vt habeatur totum

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