Ghetaldi, Marino
,
Marini Ghetaldi Promotvs Archimedis sev de varijs corporum generibus grauitate & magnitudine comparatis
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AR CHIMEDES.
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& </
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<
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">accipiatur aliquod corpus L, leuius quam aqua, ita vt cum ipſi
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corpori I.</
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xml:space
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">ambo ſimul demittantur in aquã,
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ſint æque grauia atque aqua, neque ſurſum, neque deorſum feran-
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tur, ſimiliter accipiatur alterum corpus M, eiuſdem generis cum
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corpore L, ipſique ſimile, & </
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æquale, & </
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<
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">corpori M, appen
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datur corpus A. </
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<
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xml:space
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">Deinde in-
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teligatur aqua conſiſtens, & </
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manens, eiuſque ſuperfi-
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cies ſphærica C D E, cuius
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ſphæræ centrum K, aquæ
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enim conſiſtentis, atque
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unsure
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manentis ſuperficies ſphæ-
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rica eſt, cuius ſphæræ cen-
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trum idem eſt, quod centrũ
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terræ, hoc autem demonſtratum eſt ab Archimede Prop. </
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<
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<
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ijs, quæ vehuntur in aqua. </
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<
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xml:space
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">Inteligantur etiam duæ pyramides con-
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iunctæ, & </
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<
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">continuatæ, æquales, & </
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">ſimiles KCD, KDE, pro baſibus
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habentes in ſuperficie aquæ parallelogramma, vertices autem pun-
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ctum K, & </
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<
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xml:space
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">corpora L, B, comprehendantur à pyramide KDE, corpo-
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ra vero M, A, à pyramide KCD, & </
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<
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">ſub corporibus L, B, deſcribatur
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quædam alterius ſphæræ ſuperficies FGH, in a qua, circa centrum K,
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poterit autem huiuſmodi ſuperficies ſub corporibus L, B, deſcribi,
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quoniam & </
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<
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">ſi ipſi corpora demerguntur tota, non ideo feruntur
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deorſum, ponuntur enim æque grauia @atque aqua. </
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igitur eiuſdem generis ponuntur corpora M, L, & </
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erunt æque grauia, tum in aqua, tum in aere, & </
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<
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">quoniam corpus
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A, leuius eſt in aqua, corpore B, erunt corpora M, A, ſimul, in aqua
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leuiora corporibus L, B, ſed corpora L, B, ſimul, æque grauia ſunt at-
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que aqua, ergo corpora M, A, ſimul, leuiora erunt quam aqua; </
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<
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corpus M, non demergetur totum, ſed aliqua pars ipſius ex aquæ ſu-
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perficie extabit.</
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<
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xml:space
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">Et quoniam eiuſdem generis, & </
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<
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">grauitatis ponuntur corpora A, B,
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erunt magnitudine æqualia, & </
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bus, corpora M, A, erunt æqualia corporibus L, B,</
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<
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">Quoniam igitur corpora M, A, æqualia ſunt corporibus L, B, pars
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autem corporis M, extat ex aquæ ſuperficie, & </
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">corpora L, B, tota de-
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merguntur, minus loci ocupabunt in aqua corpora M, A, quam cor-
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pora L, B, quare maior erit grauitas corporum M, A, & </
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<
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nentis ipſa corpora, quæ eſt in loco pyramidis CDGF, quam corpo-
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rum L, B, & </
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<
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