Ghetaldi, Marino
,
Marini Ghetaldi Promotvs Archimedis sev de varijs corporum generibus grauitate & magnitudine comparatis
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tatum H, G, ad grauitatem EK, ita differentia grauitatum H, FV,
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ad grauitatem E. </
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<
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<
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corpus D, æquale eſt corpori Q, magnitudine, & </
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portioni L, erit vt D, ad Q, ita C, ad L, & </
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Q, ad L, & </
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<
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vt grauitas corporis D, hoc eſt vt EK, ad K, ita H, ad V.</
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& </
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mutando vt A, ad B, ita P, ad O, ſed eiuſdem ſunt generis A, B, ſimili-
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ter & </
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">P, O, * vt igitur grauitas corporis A, id eſt vt EK, ad E, ita erit
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G, ad F, & </
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">per conuerſionem rationis erit vt EK, ad K, ita G, ad G,
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minus F, ſed demonſtratum eſt, vt EK, ad K, ita eſſe H, ad V, ergo vt
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H, ad V, ita erit G, ad G, minus F, & </
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ad G, minus F, & </
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">diuidendo vt H, minus G, ad G, ita erit FV, minus
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G, ad G, minus F, rurſus permutando erit vt H, minus G, ad FV, mi-
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nus G, ita G, ad G, minus F, ſed vt EK, ad K, ita eſt G, ad G, minus F,
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vt eſt demonſtratum, ergo vt H, minus G, ad FV, minus G, ita erit
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EK, ad K, quare permutando vt H, minus G, ad EK, ita erit FV, mi-
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nus G, ad K, quod eſtò primum.</
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conuerſionem rationis vt EK, ad E, ita H, ad H, minus V, ſed demon-
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ſtratum eſt vt EK, ad E, ita eſſe G, ad F, ergo vt H, ad H, minus V, ita
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erit G, ad F, & </
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dendo vt H, minus G, ad G, ita erit H, minus FV, ad F, & </
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do vt H, minus G, ad H, minus FV, ita G, ad F, ſed vt EK, ad E, ita eſt
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G, ad F, vt eſt demonſtratum, ergo vt H, minus G, ad H, minus FV,
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ita erit EK, ad E, quare permutando, erit vt H, minus G, ad EK, ita
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H, minus FV, ad E, quod erat ſecundo loco demonſtrandum.</
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<
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cognoſci poſſit eius qualitas; </
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ſunt facile colligitur; </
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grauitas, quam habet tum in aere, tum in aqua. </
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omnia, duo nobis ſunt præmittenda, & </
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quid ſit aurum 24. </
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