Archimedes
,
Archimedis De iis qvae vehvntvr in aqva libri dvo
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producantur. </
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<
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xml:space
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">Quoniam igitur pyramis ſecatur planis bafi
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æquidiſtantibus, ſectiones ſimiles erunt: </
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<
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xml:space
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">9. huius</
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drata, uel rectangula circa circulos, uel ellipſes deſcripta,
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quemadmodum & </
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">Sed cum circuli inter ſe eã
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proportionem habeant, quam diametrorum quadrata:
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<
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xml:space
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cimi.</
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itemq; </
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<
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conſtantia: </
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xml:space
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<
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">ſit circulus, uel ellipſis circa diametrum e f
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xml:space
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">7. de co-
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noidibus
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& ſphæ-
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roidibus</
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proportionalis inter circulos, uel ellipſes a b, c d; </
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ctangulum e f etiam inter rectangula a b, c d proportio-
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nale: </
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<
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">per rectangulum enim nunc breuitatis cauſa etiã ip-
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ſum quadratum intelligemus. </
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">quare ex iis, quæ proxime
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dicta ſunt, pyramis baſim habens æqualem dictis rectangu
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lis, & </
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<
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">altitudinem eandem, quam fruſtum a d, ipſi fruſto à
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pyramide abſciſſo æqualis probabitur. </
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<
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lum c d ad rectangulũ e f, ita circulus, uel ellipſis c d a d e f
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circulum, uel ellipſim: </
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e f, ad e f rectangulum, ita circuli, uel ellipſes e d, e f, ad e f:
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<
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xml:space
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">ut rectangulum e f ad rectangulum a b, ita cir culus, uel
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cllipſis e f ad a b circulum, uel ellipſim. </
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componendo, utrectãgula c d, e f, a b ad ipſum a b, ita </
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