Baliani, Giovanni Battista
,
De motv natvrali gravivm solidorvm et liqvidorvm
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1
PROPOSITIO
III
.
Sectiones
canalis
sunt
reciproce
in
subduplicata
ratione
longitudinum
.
75
[Figure 75]
Sit
canale
AB
sectum
in
C
.
Dico
sectiones
CB
esse
in
subduplicata
ratione
AB
,
AC
.
Quoniam
sectiones
CB
sunt
ut
velocitates
in
B
, &
in
C
,
at
velocitas
in
B
ad
velocitatem
in
C
est
in
subduplicata
ratione
AB
ad
AC
,
Ergo
sectio
C
ad
sectionem
B
est
in
subduplicata
ratione
AB
ad
AC
.
Quod
etc
.
Per
5
.
secundi
huius
.
Per
11
.
quinti
.
Per
33
.
primi
.
Corollarium
I
.
Igitur
si
canalis
latera
sint
parallela
,
altitudines
sectionem
sunt
in
subduplicata
ratione
longitudinum
.
Nam
si
latera
perpendicularia
canalis
intelligantur
bases
, &
ea
ratione
latitudines
canalis
ut
altitudines
,
quae
proinde
sunt
aequales
,
sectiones
sunt
ut
dicta
latera
perpendicularia
,
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