_The Moment and Force of the Gravity, is encreased by the Velocity
of the Motion._
So that Weights absolutely equall, but conjoyned with Velocity
unequall, are of Force, Moment and Vertue unequall: and the more
potent, the more swift, according to the proportion of the Velocity of
the one, to the Velocity of the other. Of this we have a very
pertinent example in the Balance or Stiliard of unequall Arms, at
which Weights absolutely equall being suspended, they do not weigh
down, and gravitate equally, but that which is at a greater distance
from the Centre, about which the Beam moves, descends, raising the
other, and the Motion of this which ascends is slow, and the other
swift: and such is the Force and Vertue, which from the Velocity of
the Mover, is conferred on the Moveable, which receives it, that it
can exquisitely compensate, as much more Weight added to the other
slower Moveable: so that if of the Arms of the Balance, one were ten
times as long as the other, whereupon in the Beames moving about the
Centre, the end of that would go ten times as far as the end of this,
a Weight suspended at the greater distance, may sustain and poyse
another ten times more grave absolutely than it: and that because the
Stiliard moving, the lesser Weight shall move ten times faster than
the bigger. It ought alwayes therefore to be understood, that Motions
are according to the same Inclinations, namely, that if one of the
Moveables move perpendicularly to the Horizon, then the other makes
its Motion by the like Perpendicular; and if the Motion of one were to
be made Horizontally; that then the other is made along the same
Horizontall plain: and in summe, alwayes both in like Inclinations.
This proportion between the Gravity and Velocity is found in all
Mechanicall Instruments: and is considered by _Aristotle_, as a
Principle in his _Mechanicall Questions_; whereupon we also may take
it for a true Assumption, That