Borelli, Giovanni Alfonso
,
De motionibus naturalibus a gravitate pendentibus
,
1670
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ad
M
,
ſuntque
latera
AK & BL
æqualia
interſę
ergo
ſe
mutuò
bifariam
ſecabunt
rectæ
coniungentes
AB
, & KL
in
eodem
puncto
G
;
idemque
continget
translatis
ponderibus
in
N
, &
O
, &
ideo
punctum
G
erit
centrum
,
ſeu
ſtabile
fulcimentum
libræ
AB
quo-
modolibet
reuolutæ:
ducatur
tandem
per
I
recta
li-
nea
IP
parallela
funibus
ſecans
libras
KL, & NO iņ
punctis
M
, &
P
patet
libras
in
eadem
proportione
re-
ciproca
ſecari
in
punctis
I
,
M
,
P
,
quam
habent
oppoſi-
ta
pondera
proindeque
eadem
puncta
erunt
centrą
grauitatum,
earumdem
librarum
cum
ponderibus
ap-
penſis
;
quapropter
licet
minus
pondus
B
aſcendat
per
BLO,
tamen
ambo
pondera
A
, &
B
in
communi
cen-
tro
grauitatis
eorum
I
ſuſpenſa
circa
centrum
firmum
G
, &
in
extremo
fune-penduli GI
deſcendunt
noņ
circulari
,
ſed
directo
motu
perpendiculari
ad
hori-
zontem
ab
I
per
M
&
P
,
quod
fuerat
oſtendendum
.
Cap. 2.
de
momentis
grauium
in
fluido
inna-
tantium
.
PROP. VII.
Id
ipſum
osten
ditur,
cùm
pondera
in
peripherijs
inæqua-
libus
, & concentricis
eiuſdem
trochleæ
reuoluuntur.
SIt
trochlea
CDE
circa
axim
F
conuertibilis
, &
in
ea
ſit
alia
concentrica
circumferentia
RSQ, &
funi
SQB
alligetur
pondus
B
,
alij
verò
funi
DEA
alli-
getur
pondus
A
ſintque
funes
nullius
ponderis
;
oſten-
detur
,
vt
in
præcedenti
,
funes
EA
, & BQ
eſſe
interſe
parallelos
;
poſtea
coniungatur
recta
AB
,
atque
vt
pon-
dus
A
ad
B
ita
reciprocè
fiat
diſtantia
BI
ad
IA
;
patet
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