Casati, Paolo
,
Terra machinis mota : dissertationes geometricae, mechanicae physicae hydrostaticae
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plentis (63/71) pedis cubici. </
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LXX
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Si vas in li
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quore
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nunc
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plenum aë
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re, nunc ple
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num liquo
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re illo, diffe
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rentia pon
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derum est
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pondus li
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quoris im
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plentis capa
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citatem va
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ſis.
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<
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>At manente eâdem vaſis mole intelliga
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tur aucta materia; & diminuta capacitas, ita
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vt ſit vaſis pondus in aëre lib. 100 ſeſqui
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quartum prioris: erit moles cupri (10/71) pedis
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cubici, & capacitas (61/71). Quarè aqua æqualis
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cupro habet pondus lib. (11 19/71): igitur vas intrà
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aquam plenum aquâ habet pondus lib. (88 52/71)
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at plenum aëre intrà aquam amittet pondus
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integri pedis cubici, & ſolùm erit lib. 20.
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Horum igitur ponderum differentia (68 52/71) æ
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qualis eſt ponderi aquæ implentis capacita
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tem vaſis, quæ ex conſtitutâ hypotheſi eſt (61/71)
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pedis cubici. </
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<
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>Similiter ſi intrà idem vas admittantur
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aquæ (10/71), reliquam capacitatem (51/71) impleat
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aër: moles cupri & aëris occupat in aquâ (61/71)
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pedis cubici: igitur ex lib. 100 auferuntur
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lib. (68 52/71), & pondus vaſis in aquâ eſt lib. (31 19/71).
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At quando totum replebatur aquâ, pondus
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erat lib. (88 52/71), igitur differentia lib. (57 33/71) eſt
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grauitas æqualis grauitati (51/71) pedis cubici aquæ,
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quæ impleret vaſis ſpatium ab aëre occupa
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tum, ſi aqua illa in aëre extra aquam ex
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penderetur. </
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<
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