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. </s>
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              <s>Diſcriminis huius ratio eſt, quia vt inue­
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                <arrow.to.target n="note72"/>
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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. </s>
              <s>& examinatum eſt ferri pondus
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              in aëre, grauitas quoque ferri & aquæ com­
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              paratur ſolum in aëre. </s>
              <s>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. </s>
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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 </s>
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