Archimedes
,
Archimedis De iis qvae vehvntvr in aqva libri dvo
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DE IIS QVAE VEH. IN AQVA.
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æqualis magnitudini f a; </
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xml:space
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<
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">ipſi a æ-
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qualis i. </
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<
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">magnitudinis autem f a grauitas ſit b: </
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<
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xml:space
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tudinis n i grauitas o r; </
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<
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">ipſius i ſit r. </
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<
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xml:space
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">magnitudo igi-
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tur f a ad n i eam proportionem habet, quam grauitas b
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ad grauitatem or. </
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<
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">Sed quoniam magnitudo f a in humi-
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dum demiſſa leuior eſt humido; </
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<
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xml:space
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">patet tantam humidi mo-
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lem, quanta eſt pars magnitudin_i_s demerſa, eandem quam
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magnitudo f a habere grauitatem. </
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<
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">hoc enim ſuperius de-
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huius.</
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monſtratum eſt. </
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dem grauitas eſt r; </
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<
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">ipſius f a grauitas b. </
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<
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">ergo b graui-
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tas eius, quod habet molem æqualem toti magnitudini
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f a, æqualis erit grauitati humidi i, uidelicetipſi r. </
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<
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">Et quo
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niam ut magnitudo f a ad humidum n i ſibi reſpondens,
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ita eſt b ad o r: </
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<
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i ad n i; </
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<
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">a ad f a. </
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molis eam in grauitate proportionem habeat, quam ma-
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gnitudo a habet ad f a. </
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<
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portio conoidis rectanguli, quando
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axem habuerit minorem, quam ſeſquialterum
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eius, quæ uſque ad axem, quamcunque propor-
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tionem habens ad humidum in grauitate; </
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<
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ſa in humidum, ita ut baſis ipſius humidum non
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contingat; </
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<
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nata; </
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<
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ſtere talem portionem, quando planum quod ip
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ſam ſecuit, ſuperficiei humidi fuerit æquidiſtans.</
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<
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