304 Mr DE MORGAN, ON THE GENERAL PRINCIPLES, &c. 



7. When by application we mean application in a given direction at a point, our cases 

 are aggregation of rotation about parallel axes, and aggregation of parallel forces. On these 

 there is no occasion to speak fully; the first is entirely a result of thought; the second rests 

 on postulates shown to contain experience in precisely the same manner as in the case of 

 pressures variously applied at one point. Neither will it be necessary to lengthen this paper 

 by treating separately of moment of rotation. 



The preceding investigations show that no complete or double algebra can exist, in which 

 A + B is anything but the diagonal of A and B, provided that the rules of the incomplete 

 algebra are to be preserved unaltered. 



A. DE MORGAN. 



University College, Londoit, 

 February 10, 1859. 



