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IP ropo/ition I. 
Moving Forces are not proportional to the Mafies 
of the Bodies, and the Squares of their Velocities. 
c Demonftration. 
Let there be two Springs, equal, and equally bent, 
A and B , which, by unbending themfelves, pufh be* 
fore them two unequal Bodies j the Spring A pufh- 
ing before it the greater Body. 
Now, by Axiom I. the Spring A will unbend more 
flowly than the other : from which it follows, that, 
at every Inftant of the Time which the Spring B 
takes up in unbending itfelf, the Spring A will have 
unbent itfelf lefs than B, or will be more bent 
than#. 
Therefore, by Axiom II. the Prefiurc of the Spring 
A will, at any Inftant of that Time, be greater 
than the Preflure of the Spring B at that fame In* 
ftant. 
Hence, by Axiom III. the nafeenr, or infinitely 
fmall moving Force, which is produced by the Pref- 
fure of the Spring A in every infinitely fmall Part of 
that Time, will be greater than that produced by the 
Prelfure of the Spring B in the fame infinitely fmall 
Par-t of the Time. 
Therefore, the Sum of the infinitely fmall moving 
Forces 5 that is to fay, the whole moving Force, which 
is produced by the Spring^, during that Time, will 
be greater than the moving Force produced by the 
Spring B in that fame Time: Or the moving Force 
of the greater Body will he greater than that of the 
kfifer, at the Inftant that the Spring B, being now 
wholly 
