Galilei, Galileo, Mechanics, 1665

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Let us therefore ſuppoſe the Circle A I C, and in it the Diame-
ter A B C, and the Center B, and two Weights of equal Moment
in the extreams B and C; ſo that the Line A C being a Leaver,
or Ballance moveable about the Center B, the Weight C ſhall
come to be ſuſtained by the Weight A.
But if we ſhall imagine
the Arm of the Ballance B C to be inclined downwards according
to the Line B F, but yet in ſuch a manner that the two Lines A B
and B F do continue ſolidly conjoyned in the point B, in this caſe
the Moment of the Weight C ſhall not be equal to the Moment

Figure: /permanent/archimedes/galil_mecha_070_en_1665/figures/ not scanned
[Figure 21]

of the Weight A, for that the Di-
ſtance of the point F from the Line
of Direction, which goeth accord-
ing to B I, from the Fulciment B un-
to the Center of the Earth, is dimi-
niſhed: But if from the point F we
erect a Perpendicular unto B C, as is
F K, the Moment of the Weight in
F ſhall be as if it did hang by the
Line K F, and look how much the
Diſtance K B is diminiſhed by the
Diſtance B A, ſo much is the Moment of the Weight F diminiſhed
by the Moment of the Weight A. And in this faſhion inclining
the Weight more, as for inſtance, according to B L, its Moment ſhall
ſtill diminiſh and ſhall be as if it did hang at the Diſtance B M, ac-
cording to the Line M L, in which point L it ſhall be ſuſtained by
a Weight placed in A, ſo much leſs than it ſelf, by how much the
Diſtance B A is greater than the Diſtance B M. See therefore that
the Weight placed in the extream of the Leaver B C, in inclining
downwards along the Circumference C F L I, cometh to diminiſh
its Moment and Impetus of going downwards from time to time,

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