1without impediment by this Line, the Force and the Line ſhall

take ſome certain poſition in which they ſhall reſt, and the Line

ſhall of neceſſity be ſtreight, let that Line be termed the Pendant,

or Line of Direction of the Force. And let the Point by which it is

faſtned to the Fulciment be called the Point of Suſpenſion: which

may ſometimes be the Arm of a Leaver or Ballance; and then let

the Line drawn from the Center of the Fulciment of the Leaver

or Ballance to the Point of Suſpenſion be named the Diſtance or

the Arm of the Force: which we ſuppoſe to be a Line fixed, and

conſidered without Gravity. Moreover, let the Angle comprehen

ded betwixt the Arm of the Force and the Line of Direction be

termed the Angle of the Direction of the Force.

take ſome certain poſition in which they ſhall reſt, and the Line

ſhall of neceſſity be ſtreight, let that Line be termed the Pendant,

or Line of Direction of the Force. And let the Point by which it is

faſtned to the Fulciment be called the Point of Suſpenſion: which

may ſometimes be the Arm of a Leaver or Ballance; and then let

the Line drawn from the Center of the Fulciment of the Leaver

or Ballance to the Point of Suſpenſion be named the Diſtance or

the Arm of the Force: which we ſuppoſe to be a Line fixed, and

conſidered without Gravity. Moreover, let the Angle comprehen

ded betwixt the Arm of the Force and the Line of Direction be

termed the Angle of the Direction of the Force.

AXIOM I.

After theſe Definitions we lay down for a Principle, that in the

Leaver, and in the Ballance, Equal Forces drawing by Arms

that are equal, and at equall Angles of Direction, do draw equal

ly. And if in this Poſition they draw one againſt the other they

ſhall make an Equilibrium: but if they draw together, or towards

the ſame part, the Effect ſhall be double.

Leaver, and in the Ballance, Equal Forces drawing by Arms

that are equal, and at equall Angles of Direction, do draw equal

ly. And if in this Poſition they draw one againſt the other they

ſhall make an Equilibrium: but if they draw together, or towards

the ſame part, the Effect ſhall be double.

If the Forces being equal, and the Augles of Direction alſo

equal, the Arms be unequal, the Force that ſhall be ſuſpended at

the greater Arm ſhall work the greater Effect.

equal, the Arms be unequal, the Force that ſhall be ſuſpended at

the greater Arm ſhall work the greater Effect.

As in this Figure, the Center of the Ballance or Leaver being A,

222[Figure 222]

if the Arms A B and A C are equal,

as alſo the Angles A B D, and A C E,

the equal Forces D and E ſhall

draw equally, and make an Equili

brium. So likewiſe the Arm A F be

ing equal to A B, the Angle A F G

to the Angle A B D, and the Force

G to D, theſe two Forces ^{*} G and D

draw equally; and in regard that

they draw both one way, the Effect

ſhall be double.

222[Figure 222]

if the Arms A B and A C are equal,

as alſo the Angles A B D, and A C E,

the equal Forces D and E ſhall

draw equally, and make an Equili

brium. So likewiſe the Arm A F be

ing equal to A B, the Angle A F G

to the Angle A B D, and the Force

G to D, theſe two Forces ^{*} G and D

draw equally; and in regard that

they draw both one way, the Effect

ſhall be double.

* In the M. S.

Copy it is C and

D.

Copy it is C and

D.

In the ſame manner the Forces G and E ſhall make an Equilibri

um; as alſo I and L ſhall counterpoiſe, if (being equal) the Arms

A K and A H, and the Angles A H T, and A K L be equal.

um; as alſo I and L ſhall counterpoiſe, if (being equal) the Arms

A K and A H, and the Angles A H T, and A K L be equal.

The ſame ſhall befall in the Forces P and R, if all things be

diſpoſed as before. And in this caſe we make no other diſtinction

betwixt Weights and other Forces ſave only this, that Weights all

tend towards the Center of Grave Bodies, and Forces may be un

derſtood to tend all towards all parts of the Univerſe, with ſo

much greater or leſſer Impetus than Weights. So that Weights and

diſpoſed as before. And in this caſe we make no other diſtinction

betwixt Weights and other Forces ſave only this, that Weights all

tend towards the Center of Grave Bodies, and Forces may be un

derſtood to tend all towards all parts of the Univerſe, with ſo

much greater or leſſer Impetus than Weights. So that Weights and