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