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

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1
tur figuræ corporum aſcendentium omninò diuer­
ſæ, & diſſimiles inter ſe, quia æquè benè noſtræ de­
monſtrationi aptari poſſunt cylindri æquè alti, & in­
æqualium baſium, ſiuè contra ſi baſes æquales ſint,
altitudines ſint inæquales.
hoc præmiſſo libet idipsum
problema alia ratione reſoluere.
Diuerſitas
figuratum non
alterat præ­
dictam pro­
portionali­
tatem.
4. de Cælo.
cap. 6.
Cap. 4. poſi­
tiuam leui­
tatem noņ
dari.
PROP. XCV.
Dato quocumque fluido, in quo corpus aliquod ſolidum inna­
tare valeat, reperiri debet moles quam habere debet,
vt in eadem fluido aſcendere posſit tanta vi, vt
ſuperet quamcumque finitam virtutem
motiuam.
SIt vas FDE, impleaturquę
76[Figure 76]
fluido M, aqua nimirùm, aut
quolibet alio conſiſtenti fluido.
Sumatur poſtea ligneus cylinder
ABC, vel quælibet alia materia,
quæ in prędicto fluido innatet, ſit­
que quælibet immenſa, ſed tamen
finita vis R, debet reperiri mo­
les, & amplitudo quam haberę
debet corpus aliud homogeneum
ipſi ABC, vt tanta vi in fluido M aſcendat quæ maior
ſit virtute motiua R.
Immergatur in eodem fluido
cylindrus ABC, eiuſque leuitas in fluido, ſeu vis, qua
nititur in eo aſcendere ſit S.
Poſteà fiat cylindrus HIK
ſimilis homogeneus, & eiuſdem materiæ ac eſt ABC,

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