Borelli, Giovanni Alfonso
,
De motionibus naturalibus a gravitate pendentibus
,
1670
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tuor vires motiuas, quæ ſibi mutuò aduerſantur, &
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in libra imaginaria BI operantur, vt nimirùm nulla
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earum otiari queat, ſed omnes ſimùl agant, & im
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pellant, igitur ex propoſitionibus 50. & 54. conatus,
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ſeù impetus quo aer F impellitur ſursùm in aqua à G
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versùs R ratione leuitatis menſurari debet ab ex
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ceſſu 2. graduum quo leuitas eiuſdem aeris ſuperat
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leuitatem aquæ circumfuſæ, & è
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cõtra
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conatus aquæ
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contra aerem efficitur ab exceſſu grauitatis aquæ D,
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ſupra grauitatem aeris F paritèr gr. 2. & proindè
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aqua deorsùm deſcendere conatur neceſſariò aerem
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F exprimit, ac
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ſursũm
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impellit; ſuntque hæ duæ dif
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ferentiæ, ſeù exceſſus virium contrariæ inter ſe, ſci
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licèt vna in libra imaginaria ſursùm impellit, altera
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verò deorsùm igitur vniuerſalis conatus, & impetus
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totalis quo aer F aſcendit in aqua, menſurari debet
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ab aggregato eorumdem duorum exceſſuum, quod
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eſt gr. 4. non verò à differentia leuitatum, ſolummo
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dò gr. 2. Sed hoc eſt falſum contra experientiam,
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cõ-tra
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tra</
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aduerſarij aſſertum, & contra ea, quæ ab Archi
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mede demonſtrata ſunt, quia nimirùm conatus, &
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impetus quo fertur aerea pila ſursùm in aqua æqua
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lis eſt differentiæ ponderum aeris, & aquę, igitur
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verum
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abbr
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nõ
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eſt leuitatem poſitiuam in hac operati
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one concurrere. </
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Cap. 4. poſi
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tiuam leui
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tatem noņ
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dari.</
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Prop. 54.</
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<
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">Vſque adhùc non conſiderauimus difficultatem,
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aut impedimentum, quod affert medium fluidum̨
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motui aſcenſus, vel deſcenſus corporum, quæ in ip
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ſo feruntur, erit igitur operæpretium perpenderę </
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