Borelli, Giovanni Alfonso
,
De motionibus naturalibus a gravitate pendentibus
,
1670
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differentiam
; &
quia
proportio
FC
ad
KH
compo-
nitur
ex
proportione
D
minus
E
ad
D
plus
E
, & ex
ratione
G
plus
M
ad
G
minus
M
,
ſeu
ex
ratione
D
plus
E
ad
R
,
ergo
FC
ad
KH
eamdem
rationem
ha-
bet
quam
D
minus
E
ad
R
, &
reperta
S
media
pro-
portionali
inter
D
minus
E
, &
R
erit
FC
ad
CI
,
vt
D
minus
E
ad
S
,
quare
factum
eſt
,
quod
propoſitum̨
fuerat
.
Bib.
noſtro
De
vi
per-
[...]cuſſionis pr.
92.
[...] 239.
Cap. 11.
gra-
uia
in
fluido
velocitati-
bus
inæqua-
libus
ferri
debere
.
PROP. CCXLI.
Datis
duobus
ſolidis
æqualibus
,
eiuſdemque
figuræ
,
ſed
inæ-
qualium
grauitatum,
præcognitarum
, &
dato
quoque
pondere
molis
fluidi
leuioris
æqualis
ſolidis
demerſis
:
re-
perire
proportionem
velocitatum
quibus
deſcendunt
in
eodem
fluido
.
SInt
duæ
moles
ſolidæ
æquales
eiuſdemque
figu-
ræ
AC
, & GI,
ſed
inæqualiter
graues
,
v
.
g
.
AC
ſit
aurum
, GI
verò
ſtannum
, &
facilitatis
gratia
in-
telligantur
eſſe
parallelepipeda
æquè
alta
, &
æqua-
lium
baſium
, &
ambo
in
aqua
EHLX
demerſa
com-
parentur
cum
æqualibus
,
ſimilibuſque
parallelepipe-
dis aqueis collateralibus DF, & KM
cum
quibus
ſi-
phones
conſtituere
intelligantur
,
tunc
recta
NO
con-
iungens
centra
grauitatum
auri
AC
, &
aquæ
DF
li-
bram
conſtituet
,
quæ
bifariam
ſecta
erit
in
centro
,
ſeu
fulcimento
P
,
propter
æqualitatem
, &
ſimilitudi-
nem
prædictorum
corporum
AC
, DF
ab
eiſdem
pla-
nis
horizontalibus
comprehenſorum
, eiuſdemquę
libræ
centrum
grauitatis
ſit
T
,
vnde
patet
,
quod
PT
eſt
longitudo
penduli
à
quo
oritur
impetus
deſcen-
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