Borelli, Giovanni Alfonso
,
De motionibus naturalibus a gravitate pendentibus
,
1670
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differentiam; & quia proportio FC ad KH compo
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nitur ex proportione D minus E ad D plus E, & ex
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ratione G plus M ad G minus M, ſeu ex ratione D
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plus E ad R, ergo FC ad KH eamdem rationem ha
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bet quam D minus E ad R, & reperta S media pro
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portionali inter D minus E, & R erit FC ad CI, vt D
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minus E ad S, quare factum eſt, quod propoſitum̨
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fuerat. </
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Bib. noſtro
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De vi per
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cuſſionis pr.
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92.</
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239.</
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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. CCXLI.
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Datis duobus ſolidis æqualibus, eiuſdemque figuræ, ſed inæ
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qualium grauitatum, præcognitarum, & dato quoque
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pondere molis fluidi leuioris æqualis ſolidis demerſis: re
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perire proportionem velocitatum quibus deſcendunt in
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eodem fluido.
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<
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">SInt duæ moles ſolidæ æquales eiuſdemque figu
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ræ AC, & GI, ſed inæqualiter graues, v. g. AC
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ſit aurum, GI verò ſtannum, & facilitatis gratia in
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telligantur eſſe parallelepipeda æquè alta, & æqua
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lium baſium, & ambo in aqua EHLX demerſa
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parentur</
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cum æqualibus, ſimilibuſque parallelepipe
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dis aqueis collateralibus DF, & KM cum quibus ſi
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phones conſtituere intelligantur, tunc recta NO
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iungens</
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centra grauitatum auri AC, & aquæ DF li
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bram conſtituet, quæ bifariam ſecta erit in centro,
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ſeu fulcimento P, propter æqualitatem, & ſimilitudi
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nem prædictorum corporum AC, DF ab eiſdem pla
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nis horizontalibus comprehenſorum, eiuſdemquę
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libræ centrum grauitatis ſit T, vnde patet, quod PT
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eſt longitudo penduli à quo oritur impetus deſcen-</
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