982 TRANSACTIONS OF THE AMERICAN INSTITUTE. 



In two bodies having equal quantities of associated force or 



momentum, the vis-viva or power of performing work will be in 



inverse proportion to the weights of the bodies. For, since the 



ratio of velocity increases inversely with the weight, we have the 



square of the inverse ratio divided by the simple ratio, which 



gives the simple inverse ratio of the weights for the proportion 



between the two living forces. 



Adjourned. 



