Borelli, Giovanni Alfonso
,
De motionibus naturalibus a gravitate pendentibus
,
1670
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385
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fiſtulis amplioribus aqua contenta versùs axim caui
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tatis eius magis recedit à ſuperficie interna fiſtulæ
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dilatatæ, quàm in fiſtula ſtrictiori, & ideò in illa de
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biliùs aqua ſuſtinebitur ſuſpendeturque, & quantò
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minor eſt vis ſuſtinens, & eleuans reſpectu ponderis
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fluidi contenti, tantò debet imminui ſublimitas eius
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eleuationis, vbi præcisè efficitur æquilibrium ſupe
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riùs expoſitum. </
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In fine prop.
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<
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Cap. 8. cur
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exiguæ aquę
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guttæ ſupra
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<
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abbr
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libellã
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aquæ
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aſcendunt.</
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<
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">Similitèr in eodem canaliculo ad horizontem in
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clinato longiori ſpatio eleuabitur aqua, quàm ſi per
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pendicularitèr horizonti inſiſteret, quia nimirùm ſu
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blimitas verticalis in
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abbr
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vtroq;
">vtroque</
expan
>
caſu eadem eſſe debet,
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cùm in ſitu inclinato momentum aquę prementis
<
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abbr
="
mẽ-ſuretur
">men
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ſuretur</
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>
non ab vniuerſa longitudine, aut ponderę
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abſoluto cylindri aquei ſubleuati, ſed ab eius verti
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cali eleuatione, & propterea
<
expan
abbr
="
tantumdẽ
">tantumdem</
expan
>
præcisè im
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pelletur ab eadem cauſa eleuante non alterata, ſcili
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cèt à pondere abſoluto aquæ collateralis liberè pre
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mentis.
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Quare præ
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dictæ opera
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tiones non
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contingant
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niſi fiſtulæ
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ſint vtrinque
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apertæ.</
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<
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">Et hæc omnia contingere debent quotieſcumque
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canaliculus ſupernè non clauditur; Si enim obſtru
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ctus fuiſſet aer idem internè comprehenſus impediret
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/>
aquę aſcenſum, quia non poſſet aqua inſinuari abſque
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/>
eo quod contentus aer ſtringeretur condenſaretur
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que, cumque aer condenſari
<
expan
abbr
="
cõſtiparique
">conſtiparique</
expan
>
nequeat,
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niſi à noua cauſa violentèr eum condenſante, cui aer
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ſua vi elaſtica reſiſtit, igitur ſi aqua intra prædictam
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fiſtulam ingrederetur, conſtringere
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aerẽ
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internum̨
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deberet, & propterea idem aer ſua vi elaſtica impe
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dict
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expan
abbr
="
prædictũ
">prædictum</
expan
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ingreſſum. </
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