Galilei, Galileo
,
Mechanics
,
1665
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Body
all
at
once
,
which
would
not
have
been
moved
by
the
ſame
Force
,
in
the
ſame
Time
,
with
an
equall
Motion
,
ſave
onely
in
pieces
,
without
the
help
of
the
Leaver
.
If
of
Iron
,
it
is
called
a
Crow
,
if
of
wood
,
a
Bar
or
Hand-ſpike
.
Or
Space
.
Of
the
CAPSTEN
and
of
the
CRANE
.
The
Inſtruments
which
we
are
now
about
to
declare
,
have
immediate
dependence
upon
the
Leaver
,
nay
,
are
no
other
but
a
perpetual
Vectis
or
Leaver
.
For
if
we
ſhall
ſuppoſe
the
Leaver
B
A
C
to
be
ſuſtained
in
the
point
A
,
and
the
Weight
G
to
[Figure 7]
hang
at
the
point
B
,
the
Force
be-
ing
placed
in
C
;
It
is
manifeſt
,
that
transferring
the
Leaver
unto
the
points
D
A
E
,
the
Weight
G
doth
alter
according
to
the
Di-
ſtance
B
D
,
but
cannot
much
far-
ther
continue
to
raiſe
it
,
ſo
that
if
it
were
required
to
elevate
it
yet
higher
,
it
would
be
neceſſary
to
ſtay
it
by
ſome
other
Fulciment
in
this
Poſition
,
and
to
remit
or
return
the
Leaver
to
its
former
Po-
ſition
B
A
C
,
and
ſuſpending
the
Weight
anew
thereat
,
to
raiſe
it
once
again
to
the
like
height
B
D
;
and
in
this
manner
repeating
the
work
,
many
times
one
ſhall
come
with
an
interrupted
Motion
to
effect
the
drawing
up
of
the
Weight
,
which
for
many
reſpects
will
not
prove
very
beneficial
:
whereupon
this
difficulty
hath
binomij
thought
on
,
and
remedied
,
by
finding
out
a
way
how
to
unite
to-
gether
almoſt
infinite
Leavers,
perpetuating
the
operation
without
any
interruption
;
and
this
hath
been
done
by
framing
a
Wheel
about
the
Center
A
,
according
to
the
Semidiameter
A
C
,
and
an
Axis
or
Nave
,
about
the
ſame
Center
,
of
which
let
the
Line
A
B
be
the
Semidiameter
;
and
all
this
of
very
tough
wood
,
or
of
other
ſtrong
and
ſolid
matter
,
afterwards
ſuſtaining
the
whole
Machine
upon
a
Gudgeon
or
Pin
of
Iron
planted
in
the
point
A
,
which
paſſeth
quite
thorow
,
where
it
is
held
faſt
by
two
fixed
Fulciments,
and
the
Rope
D
B
G
,
at
which
the
weight
G
hangeth,
being
be-laid
or
wound
about
the
Axis
or
Barrell,
and
applying
another
Rope
about
the
greater
Wheel
,
at
which
let
the
other
Grave
I
be
hang-
ed
:
It
is
manifeſt
,
that
the
length
C
A
having
to
the
other
A
B
the
ſelf-ſame
proportion
that
the
Weight
G
hath
to
the
Weight
I
,
it
may
ſuſtain
the
Grave
G
,
and
with
any
little
Moment
more
ſhall
move
it
:
and
becauſe
the
Axis
turning
round
together
with
the
Wheel
,
the
Ropes
that
ſuſtain
the
Weights
are
alwaies
pendent
and
contingent
with
the
extream
Circumferences
of
that
Wheel
and
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