Archimedes
,
Archimedis De insidentibvs aqvae
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0014
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DE INSIDENTIBVS AQV AE
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tem ſuperficies quædam humidi alicuius quæ a, b, g, d, periferia. </
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igitur tanta mole shumidi. </
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xml:space
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">quanta eſt magnitudo a, habet grauitatem æqua-
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lem cum magnitudinibus a, d, palam quod demerſum ipſius erit magnitudo
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a, reliquum' autem in quo d, erit totum deſuper ſupra ſuperficiem humidi. </
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enim. </
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ta ab eo quod ſupraſ, d, premitur ad inferius quoniam neutra a neutra ex-
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pellitur, ſed d, ad deorſum premit tanta grauitate quanta eſt g, ſupponeba-
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tur enim grauitas eius, in quo g, d, eſſe æqualem ipſi g, palàm igitur quod
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oportebat demonſtrare.</
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donec deſcendant, & </
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habet grauitas humidi habentis tantam molẽ, quanta eſt moles
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ſolidæ magnitudinis.</
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nim humidi, quæ ſubipſius premuntur magis, quæ partes ex quo ipſas
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iacentes, quoniam ſolida magnitudo ſupponitur grauior humido.
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</
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gnitudo, quæ a, quæ grauior humido, grauitas autem magnitudinis, quidem
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in qua a, ſitq́ b, g, humidi autem habentis molẽ æqualem ipſi a, grauitas
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b, demonſtrandum, quòd magnitudo a, in humido exiſtens habebit grauita-
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tem æqualem ipſig, accipiatur enim aliqua alia magnitudo in quad, leuior
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humido moli æqualis cum ipſo. </
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uitas æqualis grauitatib, humidi autem habentis molẽ ęqualẽ magnitudini
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d, grauitas ſit æqualis grauitatib, g. </
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magnitudmibus in quibus, a, d, magnitudo ſimul utra-
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rumq́ erit ęque grauis humido, grauitas enim magnitu-
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dinum ſimul utrarumq; </
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bus, ſcilicet b, g, & </
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molẽ æqualem ambabus magnitudinibus, eſt æqualis eiſ-
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dem grauitatibus. </
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proiectis in humidum æquerepentes erunt humido & </
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nec ad ſurſum ferentur, neque ad deorſum: </
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magnitudo quidem in qua a, exiſtens grauior humido
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feretur ad deorſum, & </
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d, retrabitur. </
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leuior humido, eleuabitur ſurſum tanta ui quanta eſt grauitas g. </
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