Borelli, Giovanni Alfonso
,
De motionibus naturalibus a gravitate pendentibus
,
1670
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grauitatis prædicti ſolidi vſque ad parietem habet
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adlongitudinem EB totius ſaxi; quia corpus graue
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D ſuſpenditur in medio vectis
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EB à dua
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bus potentijs, ab illa quam exercet potentia ſuſten
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tans E, & ab aſperitate parietis denticulati in B, er
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gò ex mechanicis potentia E ad
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ponderis
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D eandem rationem habet quam diſtantia DB ad to
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tam vectis EB longitudinem. </
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Cap. 8. cur
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exiguæ aquæ
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guttæ ſupra
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aquæ
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aſcendunt.</
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PROP. CLXXIII.
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Iiſdem poſitis eadem potentia eleuare altiùs poterit conuer
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tendo, & rotando corpus polihedrum regulari ſimile
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innixum aſperitatibus eiuſdem verticalis
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parietis.
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<
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">SIt corpus D anguloſum, & regulari ſimile, ita vt
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centrum grauitatis eius ſit quoque centrum ma
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gnitudinis eiuſdem. </
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<
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dupla E poterit eleuare corpus graue D ad
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quãlibet
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altitudinem parietis AC; quia cùm ſolidum D ſit re
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gulare, & habeat figuram anguloſam, & denticula
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tam, vt in quolibet ſitu ſuæ ſuperficiei poſſit adnecti,
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& ſuſtineri in ſub ſequentibus aſperitatibus parietis
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denticulati CA, ſequitur vt quomodolibet reuolua
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tur corpus D, ſemper in ſub ſequentibus eminentijs
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parietis aſperis AB paritèr ſuſtineatur fulciaturque,
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atque in eodem ſitu horizontali ab ijſdem duabus
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potentijs corpus D ſuſtinebitur, ſcilicèt à potentią
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E, & ab aliqua denticulari eminentia parietis AC; </
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