Borelli, Giovanni Alfonso
,
De motionibus naturalibus a gravitate pendentibus
,
1670
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impedit
,
ſed
vna
promouet
, adiuuat, &
auget
cona-
tum
,
vim
, &
impetum
alterius
; &
hoc
accidit
quia
non
applicantur
ambæ
eidem
termino
A
libræ
,
ſed
ter-
minis
oppoſitis
A
, &
B
,
qui
iuxtà
libræ
, &
rotæ
pro-
prietatem
, &
naturam
debent
moueri
motibus
con-
trarijs,
ſcilicèt
A
per
arcum
AI
, &
B
per
arcum
BH.
igitur
impulſus
ponderis
D
deorsùm
, & tractio
facta
àvi
F
ſursùm
conueniunt
, &
ſe
mutuò
adiuuant, &
augent
,
vt
ab
vtriſque
reuolutio
libræ
efficiatur
,
quæ
ad
eaſdem
partes
impellitur
ab
eiſdem
viribus
con-
trarijs
.
ceſſet
igitur
admiratio
quare
duæ
vires
con-
trariæ
in
libra
ſe
mutuò
non
deſtruant
,
ſed
potiùs
mu-
tuo
ſe
adiuuent,
ita
vt
ex
vtriſque
reſultet
vna
vis
con-
poſita
,
à
qua
libra
reuoluitur.
Cap. 4. poſi-
tiuam
leui-
tatem
noņ
dari
.
Prop. 45.
PROP.
L
.
Si
oppoſitos
libræ
terminos
quatuor
potentiæ
trahant
,
duæ
ſursùm
, &
duæ
deorsùm
,
conatus
ſeù
vis
libram
fle-
ctens
menſuratur
à
ſumma
differentiæ
aſcen-
dentium
,
cum
differentia
deſcendentium
potentiarum
.
SI
tandem
eadem
libra
à
quatuor
viribus
impel-
latur
trahaturque
,
quarum
duæ
D
, &
G
graues
ſint
deorsùmque
tendant
,
duæ
verò
M
, &
F
ſursùm̨
eoſdem
terminos
libræ
trahant
,
ſitque
energia
virtu-
tis
M
maior
quàm
F
,
pondus
verò
D
minus
ſit
quàm
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