Borelli, Giovanni Alfonso
,
De motionibus naturalibus a gravitate pendentibus
,
1670
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493
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quare manifeſtum eſt, quod velocitas deſcenſus auri
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AC in aqua ad velocitatem deſcenſus ſtanni GI iņ
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eadem aqua eamdem proportionem habebit, quam̨
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differentia ponderum AC, DF ad pondus Y, & hoc
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erat quæſitum. </
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Ca. 2.pr.10.</
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Cap. 11. gra
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uia in fluido
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velocitati
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bus inæqua
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libus ferri
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debere.</
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Prop. 140.</
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Ex pr 227.
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& 228.</
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Cap. 11. gra
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uia in fluido
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velocitati
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bus inæqua
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libus ferri
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debere.</
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<
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id
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">Et hinc patet neceſſitas quare ſolida ęqualia mo
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le, ſed inæqualiter grauia licèt æquè velocia ex ſui
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natura ſint (ſcilicèt in vacuo)
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tamen inæqua
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libus velocitatibus in medijs fluidis deſcendere. </
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PROP. CCXLII.
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Præterea idem ſolidum in mcdio fluido rariori, & minus
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ponderoſo citiùs deſcendet, quàm in grauiori fluido, ſi ta
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men vtroque fluido ſolidum grauius ſpecie fuerit.
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">SInt duo fluida DF grauius, & KM leuius, & iņ
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vtroque immergatur idem ſolidum AC vtroque
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fluido grauius; dico, quod AC velocius deſcendet in
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KM, quam in DF; ſint vt prius moles, & figuræ paral
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lelepipedæ æquales, & horizonta
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liter diſpoſitæ cum æqualibus flui
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dorum parallelepipedis. </
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ctum eſt
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duo ſiphones,
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& duæ libræ æquales, & radiorum̨
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æqualium NO, & QR, quarum cen
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tra grauitatum T, & V; & ſummą
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ponderum AC, & DF ad horum dif
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ferentiam eamdem proportionem̨
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habet quàm radius libræ PN ad
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pẽ-duli
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duli</
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longitudinem PT; idemque
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in reliqua
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libra QR; & eidem ponderi AC additis, & ablatis </
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