Borelli, Giovanni Alfonso
,
De motionibus naturalibus a gravitate pendentibus
,
1670
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[181. Figure]
Page: 522
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Page: 523
[183. Figure]
Page: 542
[184. Figure]
Page: 546
[185. Figure]
Page: 554
[186. Figure]
Page: 579
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Cap. 12. dę
vacui
neceſ-
ſitate
.
Cap. 12. dę
vacui
neceſ-
ſitate
.
Cogitemus
modò
CB
eſſe
laminam
,
ſen
fragmentum
,
quod
ex
integro
marmore
AB
diſrumpitur
,
licèt
in
actu
diuulſionis
inflectatur
lamina
CB,
tamen
non
acqui-
rit
perfectam
curuitatem
,
quia
non
componitur
ex
punctis
actu
inter
ſe
diſcretis
, &
inæqualibus
moti-
bus
agitatis
,
ſed
conſtat
ex
partibus
quantis
, figura
tis
,
omninò
duris
, &
rigidis
,
vt
oſtenſum
eſt
;
ideoque
in
eius
inflexione
acquiret
figuram
ex
pluribus
fa-
cieculis, & ex
pluribus
angulis
ſolidis
compoſitam
,
&
ſic
verum
eſt
,
quòd
integra
diſtractio
, &
diuulſio
ſucceſſiuè
, &
in
tempore
abſoluitur
,
at
vnaquæque
ex
illis
facieculis
inflexibilibus
à
ſubiecta
lamina
,
cum
qua
vnita, &
conglutinata
erat
,
diuelli
debet
,
non
in
tempore
,
ſed
in
inſtanti
,
vt
ex
dictis
deducitur
;
mo-
dò
,
quia
ſpatiola
illa
vacua
priſmatica
triangularia
,
in
inſtanti
creata
,
nequeunt
in
inſtanti
repleri
neque
à
ſolido
,
neque
à
fluido
, ambiente
corpore
etiam
ra-
refacto,
quandoquidem
motus
,
quo
accurrere
de-
bent
ad
illud
ſpatium
replendum
in
inſtanti
fieri
non
poteſt
;
ergo
neceſſariò
vacuum
in
illis
interſtitijs
ſal-
tem
per
aliquod
breue
tempus
admitti
debet
, &
hoc
ſufficit
ad
probandum
,
nedùm
vacuum
impoſſibile
non
eſſe
,
ſed
neceſſariò
requiri
ad
talem
motum
efficiendum
.
Prop. 251.
[...]
uſque
Cor
[...]
Prop. 264.
Prop. 265.
PROP. CCLXVII.
In
eadem
ſcisſione
non
poteſt
fluidum
ambiens
omninò
crea-
ta
ſpatia
vacua
replere
.
COnſideremus
poſtea
materiam
corpoream
,
quæ
accurrere
debet
ad
replendum
illud
ſpatium̨
vacuum
,
quod
continentèr
augetur
mutando
figuram
;
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