Galilei, Galileo, Mechanics, 1665

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Let us come now to apply this Conſideration to Pullies, and let
the
Weight X be ſuppoſed to hang at the two Pullies A B and D E
entwining
about them, and about the uppermoſt Pulley G H, the
Rope
, as we ſee, I D E H G A B, ſuſtaining the whole Machine in
the
point K.
Now I ſay, that placing the Force in L, it ſhall be able
to
ſuſtain the Weight X, if ſo be, it be equal to the fourth part of
it
.
For if we do imagine the two Diameters D E and A B, and the
Weights
hanging at the middle points F and C, we ſhall have two
Leavers
like to thoſe before deſcribed, the Fulciments of which an­
ſwer
to the points D and A.
Whereupon the Force placed in B,
15[Figure 15]
or
if you will, in L, ſhall be able to ſu­
ſtain
the Weight X, being the fourth
part
of it: And if we adde another Pul­
ley
above the other two, making the
Rope
or Cord to paſs along L M N, trans­
ferring
the Force L into N, it ſhall be
able
to bear the ſame Weight gravitating
downwards
, the upper Pulley neither aug­
menting
or diminiſhing the Force, as hath
been
declared.
And we will likewiſe
note
, that to make the: Weight aſcend the

four
Ropes B L, E H, D I, and A G
ought
to paſs, whereupon the Mover will
be
to begin, as much as thoſe Ropes are
long
; and yet nevertheleſs the Weight
ſhall
move but only as much as the length
of
one of them: So that we may ſay by
way
of advertiſement, and for confirma­
tion
of what hatn been many times ſpo­
ken
, namely, that look with what proportion the Labour of the

Mover
is diminiſhed, the length of the Way, on the contrary, is
encreaſed
with the ſame proportion

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