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this Weight ſhould deſcend more than that, or that more than this;

and therefore they make an Equilibrium, and their Moments continue

of ſemblable and equall Vertue.

and therefore they make an Equilibrium, and their Moments continue

of ſemblable and equall Vertue.

AXIOME II.

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 Ve

locity 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

unequall, are of Force, Moment and Vertue unequall: and the

more potent, the more ſwift, according to the proportion of the Ve

locity 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

AXIOME III.