Galilei, Galileo, Mechanics, 1665

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We laſtly ſuppoſe the Center of the Gravity of two Bodies e-
qually Grave to be in the midſt of that Right Line which conjoyns
the ſaid two Centers; or that two equall weights, ſuſpended in
equall diſtence, ſhall have the point of Equilibrium in the common
Center, or meeting of thoſe equal Diſtances.
As for Example,
the Diſtance C E being equall to the Diſtance E D, and there be-
ing by them two equall weights ſuſpended, A and B, we ſuppoſe
the point of Equilibrium to be in the point E, there being no
greater reaſon for inclining to
one, then to the other part.
But

Figure: /permanent/archimedes/galil_mecha_070_en_1665/figures/070.01.006.1.jpg not scanned
[Figure 1]

here is to be noted, that the Di-
ſtances ought to be meaſured
with Perpendicular Lines, which
from the point of Suſpenſion E,
fall on the Right Lines, that from
the Center of the Gravity of the
Weights A and B, are drawn to
the common Center of things
Grave; and therefore if the Diſtance E D were tranſported into
E F, the weight B would not counterpoiſe the weight A, becauſe
drawing from the Centers of Gravity two Right Lines to the Cen-
ter of the Earth, we ſhall ſee that which cometh from the Center
of the Weight I, to be nearer to the Center E, then the other
produced from the Center of the weight A.
Therefore our ſaying
that equal Weights are ſuſpended by [or at] equal Diſtances, is
to be underſtood to be meant when as the Right Lines that go from
their Centers & to ſeek out the common Center of Gravity, ſhall be
equidiſta nt from that Right Line, which is produced from the ſaid

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