Ghetaldi, Marino
,
Marini Ghetaldi Promotvs Archimedis sev de varijs corporum generibus grauitate & magnitudine comparatis
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PROMOTVS
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magis igitur aquæ pars premetur, quæ eſt ſub ſuperficie FG, quam
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ea quæ eſt ſub ſuperficie GH; </
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<
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">quare expellet partem minus preſſam,
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(æqualiter enim & </
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">continuatæ iacent inter ſeſe) & </
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<
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xml:space
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">nõ manebit aqua,
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quod eſt abſurdum, ponebatur enim manens. </
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<
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xml:space
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">non igitur corpus A,
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leuius eſt in aqua corpore B. </
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<
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">eadem ratione oſtendetur neque corpus
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B, leuius eſſe in aqua corpore A, quare conſtat propoſitum.</
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">grauitatis corpora A, B, grauiora
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quam aqua, & </
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">oſtendendum eſt ipſa corpora æqualem
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in aqua grauitatem habere, ſit enim corporis A, vel ipſius B, graui-
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tas CD, aquæ vero magni-
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tudinem habentis æqua-
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lem ipſi A, vel B, ſit graui-
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tas C, & </
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quod corpus L, leuius quã
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aqua, cuius grauitas ſit
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ipſi C, æqualis, aquæ ve-
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ro, magnitudinem haben-
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tis æqualem corpori L, ſit
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grauitas æqualis ipſi CD,
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itaque appenſo corpore
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B, corpori L, corpus ex
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vtriſque conſtans æque graue erit atque aqua, grauitas enim vtro-
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runque corporum B, L, eſt æqualis vtriſque grauitatibus CD, & </
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grauitas aquæ, magnitudinem habentis æqualem vtriſq; </
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<
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L, B, æqualis eſt eiſdem grauitatibus CD, & </
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">C, corpora igitur B, L,
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demiſſa in aquam, neque ſurſum, neque deorſum ſerentur, quia cor-
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pus B, grauius quam aqua fertur deorſum tanta vi, quanta à corpo-
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re L, ſurſum retrahitur.</
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">Rurſus accipiatur alterum corpus ſolidum M, eiuſdem generis
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cum corpore L, ipſique ſimile, & </
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">corpore A, appenſo ipſi
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M, & </
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">demiſſis ambobus in aquam, eadem ratione qua ſupra oſten-
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detur, corpora A, M, ſimul, eſſe æque grauia atque aqua, & </
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A, tanta vi deorſum ferri, quanta retrahitur ſurſum à corpore M,
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ſed corpora M, L, æqualem vim habent retrahendi ſurſum, cum
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ſint eiuſdem generis, & </
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hentur corpora A, B, ne deſcendant; </
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<
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">quare conſtat ipſa corpora A,
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B, æqualem in aqua grauitatem habere quod erat oſtendendum.</
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