Archimedes
,
Archimedis De iis qvae vehvntvr in aqva libri dvo
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magnitudines humido leuiores, in
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humidum impulſæ ſurſum feruntur tanta ui, quã
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to humidum molem habens magnitudini æqua-
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lem, grauius eſt ipſa magnitudine.</
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dinis quidem a grauitas b: </
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æqualem ipſi a, grauitas ſit b c. </
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<
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">demonſtrandum eſt magni
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tudinem a in humidum impulſam tanta ui ſurſum ferri,
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quanta eſt grauitas c. </
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<
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do, in qua d habens grauitatem ipſi c æqualem. </
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magnitudo ex utriſque magnitudinibus conſtans, in qui-
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bus a d, leuior eſt humido: </
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<
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xml:space
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ex utriſque conſtat grauitas eſt b c; </
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<
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molem ipſis æ qualem grauitas maior eſt, quàm b c: </
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<
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niam b c grauitas eſt humidi
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molẽ habentis æqualem ipſia.
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</
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<
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magnitudo ex utriſque a d con
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ſtans; </
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<
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">uſque eò demergetur, ut
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tanta moles humidi, quanta eſt
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pars magnitudinis demerſa eã
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dem, quam tota magnitudo
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grauitatem habeat. </
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<
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iam demonſtratum eſt. </
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<
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ſuperſicies humidi alicuius a b
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c d circunferentia. </
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quanta eſt magnitudo a grauitatem habet eandem, quam
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magnitudines a d: </
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ſam eſſe magnitudinem a; </
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