DelMonte, Guidubaldo
,
In duos Archimedis aequeponderantium libros Paraphrasis : scholijs illustrata
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vltima multiplicatio caderet in D. ſi verò maior eſſet HD,
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quàm AF tunc non eſſet vltima multiplicatio. </
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<
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DC maior AF; erit & HC ipſa FA maior. </
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<
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æqualis AF; erit punctum K inter puncta DC. BK igitur
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minor erit, quàm BC, & maior BD; eodemquè modo o
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ſtendetur AF ipſarum Bk AE communem eſſe menſu
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ram. </
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<
s
id
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">& obid BK ipſi AF commenſurabilem exiſtere. </
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<
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facere oportebat. </
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1.
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def.deci
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mi.
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<
p
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<
s
id
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">Cùm autem verba ſe〈que〉ntis demonſtrationis aliquantu
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lum ſint obſcura, vt vim demonſtrationis rectè petcipiamus,
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hoc quo〈que〉 theorema ex ijs, quæ ab Archimede hactenus de
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monſtrata ſunt, oſtendemus. </
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<
s
id
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">ad quod demonſtrandum com
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muni notione indigemus, quam nos in noſtro Mechanico
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rum libro poſuimus. </
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<
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<
s
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">Quæ eidem æ〈que〉pondeiant, inter ſe æquè ſunt grauia. </
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<
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">PROPOSITIO.</
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<
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">Si commenſurabiles magnitudines minorem habuerint
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proportionem, quàm diſtantię permutatim habent; vt ę〈que〉
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ponderent, maiori opus erit magnitudine, quàm ſit ea, quę
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ad alteram magnitudinem minorem proportionem habet. </
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<
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">Sint magnitudines AC commenſurabiles, diſtantię ve
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rò ſint ED EF. minorem autem habeat </
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</
archimedes
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