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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