Archimedes
,
Archimedis De insidentibvs aqvae
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DE INSIDENTIBVS AQV AE
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humido, & </
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<
s
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xml:space
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">axẽ habuerit maiorem, quàm emiolium eius, quę
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uſque ad axem: </
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<
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">ſi in grauitate ad humidum æque molis non
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minorem proportionem habeat illa. </
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<
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">quàm habet tetragonũ
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quod ab exceſſu, quo maior eſt axis, quàm emiolius eius, quę
<
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uſque ad axem dimiſſa in humido ita ut baſis ipſius non tan-
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gat humidum poſita, inclinata, non manet inclinata, ſed re-
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ſtituetur in rectum.</
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</
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<
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xml:space
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xml:space
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">& </
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<
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">dimiſſa in
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bumidum, ſi eſt poſſibile, ſit nõ recta, ſed ſit inclinata. </
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<
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">Secta autem
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ipſa per axem plano recto ad ſnperficiem humidi, portionis quidẽ
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ſe
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ctio ſit rectanguli coni: </
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<
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<
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<
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meter, quæn, o, ſuperficiei autem humidi ſectio ſit i, s. </
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<
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eſt recta, non faciet quæ n, o, ad is angulos æquales: </
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<
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">ducatur autẽ quæ
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K, ***, contingens ſectionem rectanguli coni penes, p, æquidiſtans autem
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ipſi i s. </
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<
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">A, p, autem æquedistanter ipſi o, n, ducaturq́ue p, f, & </
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<
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tur contra grauitum, & </
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<
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">erit ſolidi quidem apol. </
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<
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">centrumr, eius autem
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quod inter humidum centrum b, & </
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& </
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<
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<
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">quoniam quæ
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n, o, ipſius quidem r, o, eſt emiolia eius autem, quæ uſque ad axem eſt ma
<
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ior, quàm emiolia, palam quòd quær, o, eſt maior, quàm quæ uſque ad a-
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xem. </
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<
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">Sit igitur quæ r, m, æqualis ei, quæ uſque ad axem, quæ autem o,
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n, dupla ipſius r, m. </
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<
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">Quoniam igitur ſit quæ quidem n, o, ipſius r, o, emio-
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lia, quæ autem m, o, ipſius o, b, & </
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<
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">reliqua, quæm, n, reliqua ſcilicet r, b,
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æmiolia eſt ipſi m, o, eſt maior, quàm emiolius eſt axis eius, quæ uſque ad
<
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axem, ſcilicet r, m, & </
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>
<
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">quoniam ſupponebatur portio ad humidum in gra
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uitate non minuerem proportionem habens illa, quam habet tetragonũ
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quod ab exceſſu, quo. </
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<
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">axis eſt maior, quàm æmiolius eius, quæ uſq; </
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xem ad tetragonum quod ab axe. </
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<
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">palam quòd non minorem proportio
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nem babet portio ad humidum in grauitate illa proportionem quam ha
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bet tetragonum, quod ab m, o, ad id, quod ab n, o. </
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<
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tìonem habet portio ad humidum in grauitate, hanc habet demerſa ip-
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ſius portio adtotam ſolidam portionem, demonſtratum eſt enim hoc, ſed
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quam habet proportionem demerſa, proportio adtotam hanc habet te-
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iragonum quod _Demonstratum_ eſt enim in ijs
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quæ de conoydalibus quòd ſi a rectangulo conoydaliduæ portiones </
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