Borelli, Giovanni Alfonso, De motionibus naturalibus a gravitate pendentibus, 1670

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1
mentis raritatis eiuſdem corporis.
Intenſiuè
verò rarefa­
ciendo id in
corpus.
Cap. 4. poſi­
tiuam leui­
tatem noņ
dari.
Incrementa
leuitatum pro­
portionalia
sunt incremen­
tis
raritatum
eiuſdem cor­
poris eius­
demque
molis,
& mensuran­
tur
à vi ponde­
rum
prohi­
bentium
eleua­
tiones.
Cap. 4. poſi­
tiuam leui­
tatem noņ
dari.
Hinc inferri licet, quòd ſi raritas non eſt cauſa ef­
fectiua, motus ſursùm, ſeù leuitatis, requiritur ſaltem
raritas tamquam affectio neceſſaria, ſine qua leuitas

minimè augeri poteſt, ſed oportet vt raritates in ali­
quo medio fluido conſiderentur, non autem abſolu­
tè, & in vacuo.
Si raritas non
eſt causa aſ­
cenſus leuium,
requiritur
tamen neceſ­
ſariò
PROP. XCIII.
Reperire modò poſſumus corpus, quod in dato fluido aſcendat
tanta vi ſursùm, quæ ſuperet quamcumque finitam
vim.
SIt vas ABC repleaturque flui­
74[Figure 74]
do M quod ſit aqua, vel hy­
drargyrum, & ſit quælibet va­
ſta vis motiua R. debet reperiri
corpus, quod in prædicto fluido
innatet, atque ab eius fundo ſur­
sum aſcendat tanta vi, & energia
vt ſuperet vim datam R. ſuma­
tur cylindrus DE cuiuſcumque
ſolidæ materiei conſiſtentiſque,
earum tamen, quæ in prædicto fluido M innatant,
et vis qua corpus DE aſcendit è fundo fluidi M ſit S:
poſtea (ex duabus præcedentibus propoſitionibus)
reperiatur cylindrus excauatus FG, cuius externą
figura ſit æqualis, & ſimilis ipſi DE, itaut raritas ab­
ſoluta ipſius FG ad raritatem alterius DE maiorem pro-

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