Borelli, Giovanni Alfonso
,
De motionibus naturalibus a gravitate pendentibus
,
1670
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dem
latitudinis
ſiuè
non
,
ſemper
centrum
communis
grauitatis
fluidi
in
deſcenſu
parabolam
deſcribet
;
ſi
verò
brachia
ſiphonis
æquè
inclinata
ad
horizontem
fuerint
,
deſcribet
eius
centrum
in
deſcenſu
parabo-
lam
quotieſcumque
brachia
æquè
craſſa
fuerint
.
Cap. 2. dę
momentis
grauium
in
fluido
inna-
tantium
COROLLARIVM
I
.
Siverò
in
eodem
angulari
ſiphone
vnum
brachium
dilatatum
,
alterum
verò
gracile
fuerit
,
tunc
eius
cen-
trum
in
deſcenſu
curuam
deſcribet
hyperbolam̨
ęmulantem
.
COROLLARIVM
II
.
Et
tandem
ſi
vnum
brachiorum
perpendicularę
fuerit
ad
horizontem
,
reliquum
verò
inclinatum
in
de-
ſcenſu
deſcribet
commune
centrum
grauitatis
curuam
ellipſim
æmulantem
.
His
præmiſſis
declarari
debet
altera
libræ
,
ſeu
ſi-
phonis
proprietas
,
in
quo
centrum
grauitatis
eius
mouetur
non
quidem
motu
obliquo
, &
curuo
,
ſed
per
lineam
rectam
ad
horizontem
perpendicularem
,
pro
cuius
intelligentia
præmittendum
eſt
,
quod
.
PROP.
VI
.
Duo
pondera
inæqualia
fune
non
graui
circa
trochleam
reuo-
luto
ſuſpenſa
,
dum
vnum
eorum
aſcendit
centrum
gra-
uitatis
eorum
per
lineam
rectam
ad
horizontem
perpendicularem
deprimitur
.
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