Ghetaldi, Marino
,
Marini Ghetaldi Promotvs Archimedis sev de varijs corporum generibus grauitate & magnitudine comparatis
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PROMOTVS
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cundum & </
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<
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">quartum, Erit vt grauitas E, ad grauitatem D, ita ma- gnitudo G, ad liquidi B, magnitudinem, ſed vt grauitas E, ad graui-
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tatem D, ita eſt magnitudo G, ad F, magnitudinem; </
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<
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xml:space
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">ergo magnitudo
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F, æqualis erit magnitudini liquidi B. </
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<
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quidi B, magnitudo F, quod facere oportebat.</
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<
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">Quod ſi propoſita duo corpora æque grauia fuerint
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regularia, vtpote ſphærica, fuerit autem ſphęræ A, data
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diameter G, & </
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<
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">oporteat inuenire, quanta erit diameter
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ſphæræ B, ita faciendum erit.</
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0038-01
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xlink:href
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http://echo.mpiwg-berlin.mpg.de/zogilib?fn=/permanent/library/xxxxxxxx/figures/0038-01
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pore ſolido C, & </
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<
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grauitatibus D, E, liquidorũ
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H, I, vt ſupra, fiat vt grauitas
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E, ad grauitatem D, ita cu-
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bus ex G, ad alium cubum,
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cuius latus ſit F. </
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<
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igitur eadem ratione, qua
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ſupra oſtendetur, vt grauitas
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E, ad grauitatem D, ita eſſe
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magnitudinem ſphæræ A, ad
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ſphæræ B, magnitudinem, ſed
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magnitudo ſphæræ A, ad
<
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<
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Elem.</
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ſphæræ B, magnitudinem, triplicatã rationem habet eius, quam G, diameter ſphæræ A, ad dia-
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metrum ſphæræ B, ſimiliter & </
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<
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">cubus ex G, ad cubum diametri ſphæ-
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<
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Elem.</
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ræ B, triplicatam rationem habet eius, quam G, ad ſphæræ B, dia- metrum; </
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<
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">ergo vt grauitas E, ad grauitatem D, ita erit cubus ex G, ad
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cubum diametri ſphæræ B, ſed vt grauitas D, ita grauitatem D, ita
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eſt cubus ex G, ad cubum ex F; </
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<
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">ergo cubus ex F, æqualis erit cubo
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diametri ſphæræ B; </
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<
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">quare & </
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<
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">latus F, æquabitur diametro ipſius ſphæ
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ræ B. </
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<
s
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">inuenta igitur eſt quantitas diametri ſphæræ B, quod facere
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oportebat.</
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magnitudinis, & </
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<
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gnitudo liquidi alterius generis, </
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