Borelli, Giovanni Alfonso
,
De motionibus naturalibus a gravitate pendentibus
,
1670
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aquæ
deſcendentis
,
nam
perſeuerante
vertigine
,
ſci-
licèt
translato
centro
grauitatis
vltrà
medium
in
O
ſemper
ſemianulus EFG
grauior
eſſet
,
quàm
GKE,
&
propterea
ille
ſemper
deſcenderet
, hìc
verò
ſem-
per
aſcenderet
,
proindeque
anulus
excurreret
mo-
tu
perpetuo
progreſſiuo,
quod
eſt
falſum
.
perſiſtit
ergo
centrum
grauitatis
ſemper
in
centro
N
anuli
,
ſiue
aqua
in
eo
contenta
quieſcat
,
ſiuè
circumduca-
tur
,
nam
ob
continguitatem
partium
aquæ
non
poteſt
moueri
vna
pars
aquæ
F
v
.
g
.
quin
vniuerſa
aquą
EKG
æquali
velocitate
reuoluatur,
proindeque
non
vnica
pars
tantùm
,
ſed
aqua
tota
impulsum
, &
impe-
tum
acquirit
,
non
ſecùs
ac
rota
lignea
tota
ſimul
ic-
tum
recipit
atque
circa
centrum
grauitatis
eius
æqui-
libratur,
pari
modo
aqua
contenta
in
vaſe
AC
ante
præmiſſæ
figuræ
,
licèt
ſit
fluida
,
habet
tamen
pun-
ctum
M
circa
quod
partes
habent
æqualia
momenta
,
perinde
ergo
ſe
habent
ac
ſi
vniuerſa
aqua
in
prædi-
cto
vaſe
contenta
dura
eſſet
, &
conſiſtens
vt
rota
li-
gnea
,
vel
intra
fiſtulam
anularem
EFKG contentą
eſſet
in
qua
reuoluta
,
ſiue
quieſcente
rota
,
aut
aqua
ſemper
centrum
grauitatis
eius
in
eodem
ſitu
perſe-
uerare
debet
, &
proinde
libra
HL
quieſcet
in
eodem
ſitu
horizontali.
Igitur
dubitandum
non
eſt
aquam̨
in
ſuo
toto
collocatam
,
grauitatem
exercere
,
ſiuè
illa
omninò
ibidem
quieſcat
,
ſiuè
quomodolibet
agite-
tur
, &
circumuoluatur
.
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