Casati, Paolo
,
Terra machinis mota : dissertationes geometricae, mechanicae physicae hydrostaticae
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tiùs examinanti, vtrùm omni prorſus labe
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careat tua hæc argumentatio. </
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<
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>Sit vas cu
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preum AR molis vnâ cum incluſo aëre pe
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dalis, & vaſis pondus lib. 80, quod eſt pon
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dus pedis cubici aquæ. </
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<
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>Eſt igitur vas eiuſ
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dem ſpecificæ grauitatis cum aquâ; atque
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adeò cum grauitas cupri ad grauitatem aquæ
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ſit vt 71. ad 8, moles cupri ad molem aëris
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incluſi eſt vt 8 ad 63. Quarè vas aëre plenum
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nihil in aquâ grauitat, aut leuitat; ſed ſi mer
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gatur intrà aquam, quæ aëre excluſo impleat
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vaſis capacitatem, iam vas intrà aquam pon
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dus habebit lib. 80. minùs pondere, quod
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habet aqua ſecundùm molem cupro æqualis. </
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Quia igitur moles cupri eſt (8/71) pedis cubici,
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fiat vt 71 ad 8, ita lib. 80 pondus pedis cu
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bici aquæ, ad lib. 9. (1/71) pondus aquæ æqualis
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cupro vaſis. </
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<
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>Erit itaque vaſis pleni aquâ in
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trà aquam grauitas lib. (70 70/71): quod quidem
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pondus tribuendum eſt cupro, non autem
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aquæ vas implenti, quæ intrà aquam non
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grauitat: cum maximè idem eſſet in aquâ
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eiuſdem cupri pondus, etiamſi in maſſam
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conflatum nihil aquæ contineret. </
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<
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quam non nego grauitatem illam cupri iņ
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aquâ eſſe æqualem grauitati molis aqueæ vas
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implentis, ſi illa extra aquam in aere
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transferatur; eſt enim moles aquæ vas im</
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