Ghetaldi, Marino
,
Marini Ghetaldi Promotvs Archimedis sev de varijs corporum generibus grauitate & magnitudine comparatis
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PROMOTVS
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& </
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<
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">Intellig antur duo corpora, vnum ex auro puro, al-
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terum ex are, æque grauia atque corpus mistum, & </
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<
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">trium corporum
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ex aqua, quorum vnum ſit æquale corpori aureo magnitudine, alte-
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rum misto, tertium æreo, inueniantur grauitates, vt in exemplo pro-
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poſ. </
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">dictum est, quæ ſint 9, 11, & </
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19, ad 171, grauitatem videlicet corporis misti, ita differentia inter
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9, & </
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">11, ad 34 {1/5}, portio igitur corporis miſti ærea grauitatem babebit
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34 {1/5}, quæ ſi auferatur ex totali corporis misti grauitate, remanebit
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136 {4/5}, pro grauitate portionis auri.</
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<
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">Vel ſi pro tertio proportionis termino ſumatur differentia inter 11,
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& </
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">19, quartus terminus 136 {4/6}, erit grauitas portionis auri, qua ab-
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lata ex totali corporis miſti grauitate, reliquum 34 {1/5}, dabit grauita-
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tem portionis æreæ.</
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<
s
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">At vero huiuſmodi ratio cinationem ad diſcernendum ar-
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gentum ab auro, vel aliud metallum ab altero metallo, recte
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eſſe inſtitutam, ſequenti Theoremate demonſtrabitur.</
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<
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tium fuerint generis diuerſi, ſecundi autem portio
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fuerit eiuſdem generis cum corpore primo, reliqua ve-
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ro eiuſdem generis cum corpore tertio, fuerint etiam
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tres quantitates aquæ prædictis corporibus æquales, pri-
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ma videlicet corpori primo, ſecunda ſecundo, & </
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tertio. </
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">erit vt differentia grauitatum primæ & </
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quantitatis aquæ, ad grauitatem corporis ſecundi, ita
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differentia grauitatum primæ & </
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aquæ, ad grauitatem portionis corporis ſecundi, quæ eſt
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eiuſdem generis cum corpore tertio.</
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titatis aquæ, ad grauitatem portionis eiuſdem generis
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cum corpore primo.</
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