Chap. XVI.] REFUTATION OF OBJECTIONS. 17o 



Then the actual motion of one half is 10, and 

 that of the other half 6 in the opposite direction. 



Therefore, when not rotating, the force with 

 which the top resists the earth's gravitation is 4 

 squared, and with the above motion of rotation it 

 becomes 10 squared less 6 squared ; so that that 

 rotation increases its resistance four times, and a 

 faster rotation would increase it still further/ 



^ The above subject is further explained in Chapter VIII. 

 of The New Princi'ples of Natural Philosophy. A complete 

 demonstration is also given in Chap. XXI., Proposition XXYI., 

 which has been added to the present edition of this work for the 

 purpose. 



