THE EQUILIBRIUM OF BODIES IN CONTACT. 46? 



Eliminating s 





From the elimination of A, B, and C, between the five equations 

 I, II, III, V, will result the two equations to the Line of Resist- 

 ance ; and from the elimination of the same three quantities between 

 the five equations II, III, IV,* the two equations to the Line of 

 Pressuke. 



The inclination i of the resultant pressui'e to a perpendicular to the 

 intersecting plane, in any of its positions, may be determined (see paper 

 on Equation of Arch), independently of the line of pressure, from the 

 equation 



AM, f BM,_ + Ms 



cos ( = - 



\{A' + B' + 1){MI + MI + Ml)}i 



2. Let the mass be a Prism whose axis is horizontal, and the forces 

 applied to which are, its weight and certain pressures, P, whose direc- 

 tions are in planes perpendicular to its axis and inclined at angles <I> to 

 axis of », and whose points of application are uniformly distributed along 

 lines on the surface of the prism parallel to its axis ; all those pressures 

 which are applied in each line being equal to one another. 



* It will be observed that the condition V. is included in these. 

 Vol. VI. Paut III. 3 



.(IV.) 



= (V.) 



