Borelli, Giovanni Alfonso
,
De motionibus naturalibus a gravitate pendentibus
,
1670
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[181. Figure]
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[186. Figure]
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culis
,
ſed
pluribus
ſatis
equinis
à
quibus
eius
gra-
uitas
in
aqua
non
alteratur
ſaltem
differentia
ſenſibi-
li
;
poterit
ergò
ſumi
additamentum
ponderis
F
ac
ſi
augeret
craſſitiem
pilæ
plumbeæ
BC;
ſit
ergo
GE
pon-
dus
totius
pilæ
BACL
vnà
cum
pondere
adiuncto
F
in
aere
trutinato; GH
verò
ſit
pondus
eiuſdem
ag-
gregati
BALCF
intra
aquam
examinatum
.
quia
verò
,
ex
Archimede
,
pondus
corporis
intra
aquam
demerſi
imminuitur
pro
quantitate
ponderis
molis
aquæ
quæ
æqualis
ſit
integro
corpori
demerſo
,
igitur
differen-
tia
HE
erit
pondus
molis
aquæ
PQ,
quæ
æqualis
ſit
corpori
demerſo
BALCF.
poſtea
pilam
plumbeam
BC
eodem
modo
clauſam
violentèr
malleo
contudi
,
vt
ad
minus
ſpatium
BLC
redigeretur
;
manifeſtum
eſt
conſtipatum
reſtrictumque
ſuiſſe
aerem
incluſum
vt
nimirùm
portio
aeris
A
incluſa
ſit
in
eodem
ſpa-
tio
,
quod
occupabat
reliqua
aeris
portio
L
.
denuò
igitur
pilam
plumbeam
contuſam
BLCF ponderaui
in
aere
, &
in
aqua
,
atque
in
aere
pondus
eius
fuit
GN
maius
,
quàm
GE,
eius
verò
pondus
in
aqua
fuit
GM,
quaproptèr
ponderum
differentia
MN
erit
gra-
uitas
molis
aquæ
RS
quæ
æqualis
ſit
corpori
demer-
ſo
BLCF, &
ſecetur
EO
æqualis
MN.
Quia
verò
aer
AL
in
ipſomet
aere
eiuſdem
grauitatis
nil
grauitat
ob
æquilibrium
,
igitur
pondus
GE
tribui
debet
plum-
bo
BCF,
cùm
verò
pila
contuſa
in
aere
magis
graui-
tet
pro
menſura
nimirùm
GN,
tunc
quoque
tota
gra-
uitas
GE
plumbo
eidem
tribui
debet
,
at
exceſſus
grauitatis
EN
nullo
pacto
tribui
poteſt
portioni
ae-
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