( ) 
of reafonlng it will follow, that this Body will now ai- 
fo bend 4fimilar Springs, before its Force is fpent ; fo 
that the fame Body moving with half the Velocities, 
and in the fame Dired^ions as before, bends the fame 
number of Springs ,* only now the Springs make but 
half the Refinance, that the Springs in the former 
cafe made ; therefore the Effed in this cafe, accor- 
ding to our way of eftimating an Effed, is but half 
the former EfTed j confequently the Forces producing 
thefe Effeds are as i to i ; But in this are the 
Velocities, with which the Body moved in the tw’o 
Cafes 5 therefore the Forces are as the Velocities. 
Let the Body move with i, degrees of Velocity, and 
it will bend 9 fimilar Springs, each deflroying one 
Degree of Velocity in a perpendicular Diredion, 
before the whole Force is confumed. So alfo by the 
fame way of arguing, 'tis as certain, that if the fame 
Body move with one degree of Velocity, it wdll bend 
9 fimilar Springs, each deftroying a third part of one 
Degree of Velocity in a perpendicular Diredion, be- 
fore its Force is extinguifhed : So that ftill the Effeds, 
or Refiftances overcome in the fame Diredions, are, 
according to our way of computing, as 3 to i ,* and 
fo alfo their Forces muff be but in the fame Ratio 
of 3 to I, as were the Velocities,* confequently the 
Forces are as the Velocities. 
5 . Since therefore this Proof drawn from the Do 
drine of Compofition and Refolution of Forces equal- 
ly proves both fides of the Queffion, it proves too much, 
or in reality nothing at all j and is therefore far from* 
deferving the Name of a Dempnftration, 
Vin, Bre 
