Archimedes
,
Archimedis De insidentibvs aqvae
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0026
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DE INSIDENTIBVS AQV AE
"/>
ut baſis ipſius tota ſit in humido poſita, inclinata, non manet
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inclinata, ſed reſtituetur ita ut axis ipſius ſecundum perpen
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dicularem ſit.</
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<
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<
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xml:space
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">_D_Emittatur enim in humidum aliqua portio qualis dicta eſt, & </
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<
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baſis ipſius tota in bumido. </
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>
<
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xml:space
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">Secta autem ipſa plano per axem re-
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cto ad ſuperficiem humidi erit ſectio rectanguli, coni ſectio, & </
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>
<
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xml:space
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">ſit
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quæ apol, axis autem, & </
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>
<
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xml:space
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">dyameter ſectionis quàm n, o, ſuperficiei autem
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bumidi ſectio, quæ i, s, & </
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>
<
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xml:space
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">quoniam non eſt axis ſecundum perpendicula-
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rem non faciet, quæ n, o, ad i, s, angulos æquales: </
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>
<
s
xml:id
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xml:space
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">ducatur autem quæ K,
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***, contingens ſectionem apol ſecundum p, æquidiſtans ipſi i, s, & </
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<
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p, ipſi n, o, æquediſtans quæ p, f, & </
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<
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xml:space
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">accipiantur centra grauitatem: </
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xml:space
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">& </
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ſit ipſius quidem apol. </
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<
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<
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">eius autem quod extra humidum b,
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& </
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<
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">copulata quæ b, r, educatur ad g, & </
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">ſit g, centrum grauitatis ſolidi
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aſſumpti in humido : </
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<
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xml:space
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">accipiatur quæ r, m, æqualis ei quæ uſque ad
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axe Quæ autem o, h, dupla ipſius h, m, & </
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>
<
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xml:space
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">alia fiant conſimili-
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ter ſuperiori. </
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<
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xml:space
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">Quoniam igitur ſupponitur portio ad humidum in graui-
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tate non maiorem proportionem habens proportione, quam habet exceſ
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ſus, quo maius eſt tetragonũ, quod ab n, o, tetragono, quod ab m, o, tetra
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gonum, quod ab n, o, ſed quam proportionem habet in grauitate porti***
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ad humidum æqualis molis, hanc proportionẽ habet demerſa ipſius por
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tio ad totum ſolidum : </
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te. </
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<
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xml:space
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">Non maiorem ergo proportionem habet demerſa magnitudo por-
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tionis ad totam portionem, quàm ſit dicta portio. </
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<
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">Quare non maiorem
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proportionem habet tota portio ad eam, quæ e xtra humidum proportio
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nem, quam habet tetragonũ, quod ab n, o, ad tetragonum, quod ab m, t,
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habet autem tota portio ad portionem, quàm extra bumidum </
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