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

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1
Cap. 3. flui­
dum in ſuo
toto quie­
ſcens pon­
derat.
PROP. XIX.
Lignum infra aquam demerſum, licèt pondus proprium, &
aquæ incumbentis exerceat, non proinde ibidem
quieſcet.
VT autem huius argumenti falla cia patefiat, in
vaſe ARSE aqua pleno demergatur priſma li­
gneum, vel aereum HBDI ſitquę
24[Figure 24]
pondus aquæ AI decem librarum̨
v. g. lignum verò HD ſemilibram̨
pendeat. Concedo, quòd lignum̨
HD premit ſubiectam aquam BV
non vi ſemilibræ, ſed robore libra­
rum decem, & ſemis, & ideo lignum
HD magis comprimit, ac grauitat,
quàm ſola aqua incumbens AI, ſed non proindè ſe­
quitur, lignum HD quatenùs magis comprimit, ac
grauitat in fundo aquæ perſiſtere debere, cùm ab
alia cauſa ſursùm exprimatur. Secto enim priſmatę
aqueo CEFI æquali ipſi AI, & aqueo priſmate IG
cuius moles æqualis ſit ligno HD, & eius pondus
duas libras ſuperet; patet quòd aqua ſubiecta BV
premitur à pondere librarum decem, & ſemis, at
aqua DS comprimitur à pondere librarum duode­
cim; ergo sipho, vel libra mobilis aquea BG flecti
debet eleuando lignum HD minus graue. Et hinc
patet, quòd ratio, quare lignum aſcendit, non eſt
pondus aquæ incumbentis AI, ſed eſt aqua collate-

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