Borelli, Giovanni Alfonso
,
De motionibus naturalibus a gravitate pendentibus
,
1670
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energię ponderis incumbentis cylindri aquei IG:
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tunc quælibet minima vis addita ponderi P deberet
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eleuare vſque ad ſupremæ aquæ libellam cylindrum
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FE, quod ſimilitèr eſt falſum, debet enim ſuperad
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di ponderi P aliud pondus R æquale ponderi lignei
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cylindri FE. </
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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. LXXXVI.
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Præterea alio modo idem confirmare.
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<
s
id
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">TAndem (in eadem hypotheſi) ſit vis leuitatis
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poſitiuæ ligni FE minor vi ponderis ſuperin
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cumbentis cylindri aquei IG. (& maioris claritatis
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gratia) ſupponamus pondus P æquale exceſſui gra
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uitatis aqueæ molis cylindro FE æqualis ſupra pon
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number
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dus cylindri lignei prædicti;
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quia ex Archimede lignum̨
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FE tanto impetu in aqua
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expan
abbr
="
tẽ-dit
">ten
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dit</
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>
ſursùm
<
expan
abbr
="
quãta
">quanta</
expan
>
eſt vis gra
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uitatis prędicti exceſſus. </
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<
s
id
="
s.000902
">Mo
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dò
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expan
abbr
="
põdus
">pondus</
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>
cylindri aquei IG
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maius eſt pondere P, ſcilicèt
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vi leuitatis ligni FE, igitur
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prædicta leuitas à pondere
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aquæ incumbentis ſuperabi
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tur vtpotè à maiori virtutę,
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& proindè lignum detinebitur in fundo vaſis, nec a
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ſcendet. </
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<
s
id
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">Si poſtea eidem termino libræ O ſuſpenda
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tur aliud pondus Q æquale exceſſui ponderis aquæ </
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