Borelli, Giovanni Alfonso
,
De motionibus naturalibus a gravitate pendentibus
,
1670
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192
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xlink:href
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<
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mentis raritatis eiuſdem corporis. </
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Intenſiuè
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verò rarefa
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ciendo id in
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corpus.</
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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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<
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id
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Incrementa
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lb
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<
expan
abbr
="
leuitatũ
">leuitatum</
expan
>
pro
<
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/>
portionalia
<
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/>
<
expan
abbr
="
sũt
">sunt</
expan
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<
expan
abbr
="
incremẽ-tis
">incremen
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tis</
expan
>
raritatum
<
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eiuſdem cor
<
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poris
<
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abbr
="
eius-dẽque
">eius
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demque</
expan
>
molis,
<
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&
<
expan
abbr
="
mẽsuran-tur
">mensuran
<
lb
/>
tur</
expan
>
à vi
<
expan
abbr
="
põderum
">ponde
<
lb
/>
rum</
expan
>
<
expan
abbr
="
prohibantiũ
">prohi
<
lb
/>
bentium</
expan
>
eleua
<
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tiones.</
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>
</
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<
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type
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<
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id
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">
<
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id
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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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>
</
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<
s
id
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s.000990
">Hinc inferri licet, quòd ſi raritas non eſt cauſa ef
<
lb
/>
fectiua, motus ſursùm, ſeù leuitatis, requiritur
<
expan
abbr
="
ſaltẽ
">ſaltem</
expan
>
<
lb
/>
raritas tamquam affectio neceſſaria, ſine qua leuitas
<
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<
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n
="
marg253
"/>
<
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minimè augeri poteſt, ſed oportet vt raritates in ali
<
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quo medio fluido conſiderentur, non autem abſolu
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tè, & in vacuo. </
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<
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Si raritas
<
expan
abbr
="
nõ
">non</
expan
>
<
lb
/>
eſt causa aſ
<
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/>
cenſus
<
expan
abbr
="
leuiũ
">leuium</
expan
>
,
<
lb
/>
requiritur
<
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/>
<
expan
abbr
="
tamẽ
">tamen</
expan
>
neceſ
<
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ſariò</
s
>
</
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PROP. XCIII.
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Reperire modò poſſumus corpus, quod in dato fluido aſcendat
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tanta vi ſursùm, quæ ſuperet quamcumque finitam
<
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vim.
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<
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">SIt vas ABC
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repleaturq;
">repleaturque</
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flui
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id.010.01.200.1.jpg
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<
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/>
do M quod ſit aqua, vel hy
<
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/>
drargyrum, & ſit quælibet va
<
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ſta vis motiua R. debet reperiri
<
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corpus, quod in prædicto fluido
<
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/>
innatet, atque ab eius
<
expan
abbr
="
fũdo
">fundo</
expan
>
ſur
<
lb
/>
sum aſcendat tanta vi, & energia
<
lb
/>
vt ſuperet vim datam R. ſuma
<
lb
/>
tur cylindrus DE cuiuſcumque
<
lb
/>
ſolidæ materiei conſiſtentiſque,
<
lb
/>
earum tamen, quæ in prædicto fluido M innatant,
<
lb
/>
et vis qua corpus DE aſcendit è fundo fluidi M ſit S:
<
lb
/>
poſtea (ex duabus præcedentibus propoſitionibus)
<
lb
/>
reperiatur cylindrus excauatus FG, cuius externą
<
lb
/>
figura ſit æqualis, & ſimilis ipſi DE, itaut raritas ab
<
lb
/>
ſoluta ipſius FG ad
<
expan
abbr
="
raritatẽ
">raritatem</
expan
>
alterius DE
<
expan
abbr
="
maiorẽ
">maiorem</
expan
>
pro-</
s
>
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