Galilei, Galileo, Mechanics, 1665

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There is alſo another thing, before we proceed any farther, to
be
confidered; and this is touching the Diſtances, whereat, or
wherein
Weights do hang: for it much imports how we are to
underſtand
Diſtances equall, and unequall; and, in ſum, in what
manner
they ought to be mea­
3[Figure 3]
ſured
: for that A B being the
Right
Line, and two equall
Weights
being ſuſpended at
the
very ends thereof, the point
C
being taken in the midſt of
the
ſaid Line, there ſhall be an
Equilibrium upon the ſame:
And
the reaſon is for that the
Diſtance
C B is equal to C A.
But if elevating the Line C B, moving it about the point C, it
ſhall
be transferred into CD, ſo that the Ballance ſtand according
to
the two Lines A C, and C D, the two equall Weights hanging
at
the Terms A and D, ſhall no longer weigh equally on that
point
C, becauſe the diſtance of the Weight placed in D, is made
leſſe
then it was when it hanged in B.
For if we confider the Lines,
along
[or by] which the ſaid Graves make their Impulſe, and
would
deſcend, in caſe they were freely moved, there is no doubt
but
that they would make or deſcribe the Lines A G, D F, B H:
Therefore
the Weight hanging on the point D, maketh it's Moment
and
Impetus according to the Line D F: but when it hanged in
B
, it made Impetus in the Line B H: and becauſe the Line D F is
nearer
to the Fulciment C, then is the Line B H Therefore we
are
to underſtand that the Weights hanging on the points A and D,
are
not equi-diſtant from the point C, as they be when they are
conſtituted
according to their Right Line A C B: And laſtly,
we
are to take notice, that the Diſtance is to be meaſured by

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