Galilei, Galileo, Mechanics, 1665

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1with a Machine to overcome a Reſiſtance, though great, with a
ſmall
Force, in regard, that we ſhall manifeſtly prove that the ſame
Force
placed in F, might in the ſame Time conveigh the ſame
Weight
, with the ſame Motion, unto the ſame Diſtance, without
any
Machine at all: For ſuppoſing, for example, that the Reſiſtance
of
the Grave H be ten times greater than the Force placed in F, it
9[Figure 9]
will
be requiſite for the mo­
ving
of the ſaid Reſiſtance,
that
the Line F B be decuple
to
B D; and conſequently,
that
the Circumference of the
Circle
F G C be alſo decuple
to
the Circumference E A D:
and
becauſe when the Force
ſhall
be moved once along the
whole
Circumference of the
Circle
F G C, the Barrel EAD,
about
which the Rope is be-laid which draweth the Weight, ſhall
likewiſe
have given one onely turn; it is manifeſt, that the Weight
H
ſhall not have been moved more than the tenth part of that way
which
the Mover ſhall have gone.
If therefore the Force that is to
move
a Reſiſtance that is greater than it ſelf, for ſuch an aſſigned
Space
by help of this Machine, muſt of neceſſity move ten times as
far
, there is no doubt, but that dividing that Weight into ten parts,
each
of them ſhall be equall to the Force, and conſequently, might
have
been tranſported one at a Time, as great a Space as that
which
it ſelf did move, ſo that making ten journeys, each equal to
the
Circumference E A D, it ſhall not have gone any farther than
if
it did move but once alone about the Circumference F G C;
and
ſhall have conveighed the ſame Weight H to the ſame Di­
ſtance
.
The benefit therefore that is to be derived from theſe
Machines
is, that they carry all the Weight together, but not with
leſſe
Labour, or with greater Expedition, or a greater Way than
the
ſame Force might have done conveying it by parcels.
Of PULLIES.

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