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

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1
ſupremam aquæ libellam detineantur.
paritèr certum
eſt inæquales moles eiuſdem ligni inæquales vires
leuitatum in aqua habere, & inæqualibus conatibus,
& viribus ſursùm impellere; nam ſi ex ligno maiori
ſecetur auferaturque vna pars æqualis moli ligni mi­
noris, hæ cùm ſint æquè leues, moleſque æquales ha­
beant, vt nimirùm prohiberi eorum aſcenſus noņ
poſſint, niſi ab æqualibus ponderibus incumbentibus,
videtur impoſſibile vt exceſſus ille ligni maioris ſu­
pra minorem (cùm ſit eiuſdem naturæ ligneæ proin­
de que leuis) vim ſursùm non exerceat pro menſura
ſuæ quantitatis, & proinde requirat vim contrariam
alicuius ponderis incumbentis, vt eius aſcenus pro­
hibeatur.
Cap. 4. poſi­
tiuam leui­
tatem noņ
dari.
PROP. XCIV.
Hoc ſuppoſito demonſtrabo, quòd duæ moles eiuſdem leuis
corporis ſursùm impellendo in eodem fluido exercent
vires, quæ eamdem proportionem habent, quam
moles ipſæ.
IN vaſe FDE aqua pleno, vel alio
75[Figure 75]
fluido demergantur duæ inæqua­
les moles eiuſdem ligni, quæ ſcilicèt
æquè rarę ſint ſpecie, vt ſunt ABC, &
HIK, ſit que S leuitas, ſeù vis qua li­
gnum ABC ſursum aſcendit; atque R
ſit leuitas alterius HIK.
Dico quòd
leuitas S ad R eamdem proportionem

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