Borelli, Giovanni Alfonso
,
De motionibus naturalibus a gravitate pendentibus
,
1670
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grauitatis
prædicti
ſolidi
vſque
ad
parietem
habet
adlongitudinem EB
totius
ſaxi
;
quia
corpus
graue
D
ſuſpenditur
in
medio
vectis
horizontalis
EB
à
dua-
bus
potentijs
,
ab
illa
quam
exercet
potentia
ſuſten-
tans
E
, &
ab
aſperitate
parietis
denticulati
in
B
,
er-
gò
ex mechanicis
potentia
E
ad
reſiſtentiam
ponderis
D
eandem
rationem
habet
quam
diſtantia
DB
ad
to-
tam
vectis
EB
longitudinem
.
Cap. 8.
cur
exiguæ
aquæ
guttæ
ſupra
libellam
aquæ
aſcendunt
.
PROP. CLXXIII.
Iiſdem
poſitis
eadem
potentia
eleuare
altiùs
poterit
conuer-
tendo
, &
rotando
corpus
polihedrum
regulari
ſimile
innixum
aſperitatibus
eiuſdem
verticalis
parietis
.
SIt
corpus
D
anguloſum
, &
regulari
ſimile
,
ita
vt
centrum
grauitatis
eius
ſit
quoque
centrum
ma-
gnitudinis
eiuſdem
.
Dico
quòd
eadem
potentia
ſub-
dupla
E
poterit
eleuare
corpus
graue
D
ad
quallibet
altitudinem
parietis
AC
;
quia
cùm
ſolidum
D
ſit
re-
gulare
, &
habeat
figuram
anguloſam
, &
denticula-
tam
,
vt
in
quolibet
ſitu
ſuæ
ſuperficiei
poſſit
adnecti
,
&
ſuſtineri
in
ſub
ſequentibus
aſperitatibus
parietis
denticulati
CA,
ſequitur
vt
quomodolibet
reuolua-
tur
corpus
D
,
ſemper
in
ſub
ſequentibus
eminentijs
parietis
aſperis
AB
paritèr
ſuſtineatur
fulciaturque
,
atque
in
eodem
ſitu
horizontali
ab
ijſdem
duabus
potentijs
corpus
D
ſuſtinebitur
,
ſcilicèt
à
potentią
E
, &
ab
aliqua
denticulari
eminentia
parietis
AC
;
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