Borelli, Giovanni Alfonso
,
De motionibus naturalibus a gravitate pendentibus
,
1670
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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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Incrementa
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abbr
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leuitatũ
">leuitatum</
expan
>
pro
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portionalia
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/>
<
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abbr
="
sũt
">sunt</
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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</
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molis,
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&
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abbr
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mẽsuran-tur
">mensuran
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tur</
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à vi
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abbr
="
põderum
">ponde
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rum</
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<
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abbr
="
prohibantiũ
">prohi
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bentium</
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eleua
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tiones.</
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<
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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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">Hinc inferri licet, quòd ſi raritas non eſt cauſa ef
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fectiua, motus ſursùm, ſeù leuitatis, requiritur
<
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abbr
="
ſaltẽ
">ſaltem</
expan
>
<
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raritas tamquam affectio neceſſaria, ſine qua leuitas
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<
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marg253
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<
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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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Si raritas
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abbr
="
nõ
">non</
expan
>
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eſt causa aſ
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cenſus
<
expan
abbr
="
leuiũ
">leuium</
expan
>
,
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requiritur
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/>
<
expan
abbr
="
tamẽ
">tamen</
expan
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neceſ
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ſariò</
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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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<
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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
<
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abbr
="
fũdo
">fundo</
expan
>
ſur
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/>
sum aſcendat tanta vi, & energia
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/>
vt ſuperet vim datam R. ſuma
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tur cylindrus DE cuiuſcumque
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ſolidæ materiei conſiſtentiſque,
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earum tamen, quæ in prædicto fluido M innatant,
<
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et vis qua corpus DE aſcendit è fundo fluidi M ſit S:
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poſtea (ex duabus præcedentibus propoſitionibus)
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reperiatur cylindrus excauatus FG, cuius externą
<
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figura ſit æqualis, & ſimilis ipſi DE, itaut raritas ab
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ſoluta ipſius FG ad
<
expan
abbr
="
raritatẽ
">raritatem</
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>
alterius DE
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maiorẽ
">maiorem</
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pro-</
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