Ghetaldi, Marino
,
Marini Ghetaldi Promotvs Archimedis sev de varijs corporum generibus grauitate & magnitudine comparatis
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[Figure 21]
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[Figure 22]
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[Figure 23]
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dine, magnitudinem liquidi inuenire.</
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æque grauia, A, quidem ſolidum B,
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vero liquidum, ſit autem ſolidi A, da-
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ta magnitudo C, & </
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<
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quanta erit magnitudo liquidi B, Ac-
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cipiatur aliquod corpus ſolidum D,
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eiuſdem generis cum ſolido A, & </
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eius grauitas G, & </
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<
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">liquidi, quod ſit E,
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eiuſdem generis cum liquido B, ma-
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gnitudinem habentis æqualem ſolido
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D, inueniatur grauitas quæ ſit H, &</
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fiat vt grauitas H, ad grauitatem G,
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ita magnitudo C, ad aliam magnitudinem quæ ſit F. </
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ſunt quatuor corpora grauia E, D, B, A, quorum primum E, & </
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dum D, ſunt æqualia magnitudine, tertium vero B, & </
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æque grauia, & </
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<
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ra D, A, erit vt grauitas H, ad grauitatem G, ita magnitudo C, ad
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quidi B, magnitudinem, ſed vt grauitas H, ad grauitatem G, ita eſt
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magnitudo C, ad magnitudinem F, ergo magnitudo F, æqualis erit
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magnitudini liquidi B, inuenta igitur eſt liquidi corporis B, magni-
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tudo F, quod facere oportebat.</
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<
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">Sed quoniam corporum regularium magnitudo quo-
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que exprimitur latere eiuſdem corporis, vel diametro, ſi
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propoſita duo corpora A, B, ſuerint regularia, vtpote ſphę
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rica, fuerit autem ſphæræ A, data diameter C, & </
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inuenire quanta erit diameter ſphæræ B. </
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erit.</
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<
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">Accepto, vt diximus, aliquo corpore ſolido D, eiuſdem generis cũ
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ſphæra A, & </
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<
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">inuenta grauitate liquidi E, vt ſupra, fiat vt grauitas H,
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ad grauitatem G, ita cubus ex C, ad alium cubum, cuius latus ſit F,
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dico ipſum latus F, æquale eſſe diametro ſphæræ B. </
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eadem ratione qua ſupra demonſtrabitur, vt grauitas H, ad grauita-
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tem G, ita eſſe magnitudinem ſphæræ A, ad ſphæræ B, magnitudinem,
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ſed magnitudo ſphæræ A, ad magnitudinem ſphæræ B,
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rationem habet eius, quam C, diameter ſphæræ A, ad diametrum
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ſphæræ B, ſimiliter & </
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