Casati, Paolo
,
Terra machinis mota : dissertationes geometricae, mechanicae physicae hydrostaticae
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ſpeciem pronuncio, ſi tamen vtraque moles
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in aëre fuerit; & ſit vt 42 ad 5 1/3. Nam ſi
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tam ferrum quàm aqua intra oleum (cuius
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grauitas ſpecifica in aëre eſt 4 3/4) collocentur,
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grauitas ferri in oleo erit partium 37 1/4, qua
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rum grauitas aquæ erit ſolùm (7/12); quæ
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R
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atio
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longè maior eſt eâ Ratione, quam habent
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grauitates in aëre. </
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>Diſcriminis huius ratio eſt, quia vt inue
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nirem Rationem grauitatum aquæ & ferri in
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oleo, ſacoma ſeu æquipondium debuiſſet pa
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riter eſſe in oleo; quia autem ſacoma ſemper
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fuit in aëre. </
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<
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>& examinatum eſt ferri pondus
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in aëre, grauitas quoque ferri & aquæ com
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paratur ſolum in aëre. </
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>Quod ſi in libræ ex
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tremitate appenderetur globus ferreus vn
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ciarum 42 in aëre, qui in oleo immergere
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tur, reſponderet ſacomati ferreo in aëre exi
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ſtenti vnciarum 37 1/4: at ſi ſacoma ſit pariter
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in oleo, quia ferreum eſt, & æqualiter à cen
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tro libræ diſtat, erit æquale ponderi, quod
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examinatur, hoc eſt vnc.42. Globus autem
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ferreus ſi in aquâ immergeretur, reſpon
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deret ſacomati ferreo in aëre exiſtenti vnc. </
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36 2/3: atqui ſi vnciæ 37 1/4 in aëre æquiponde
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rant vncijs 42 in oleo, vnciæ 36 1/3 in aërę
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æquiponderant vnciis (41 51/149) in oleo; igitur </
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