lSo HINTS RELATIVE TO 



as the Friction is increafed in the ratio of the preffure, 

 therefore if the preffure which the body would have on 

 the inclined plane be increafed in the ratio of AC to 

 AB, or radius to the fecant of the angle CAB, then the 

 preffure on the angular plane or body, whofe perpendi- 

 cular feclion is AhqN, will be had, and confequently 

 its n part, or the frittion. Hence this conftruction*; 

 let PR reprefent the weight; then PD at right angles 

 to AB reprefents the preffure that the body would exert 

 againft the common inclined plane; take DK to DP as 

 AB in the foregoing figure to AC, or as the fecant of 

 the inclination of the angular plane with its bafe to 

 radius; let Dq be the n part of DK, and join Kq; then 

 RM drawn any how to meet Kq in M, gives RM for 

 the meafureof the whole force in that direction; and it 

 is the moving or fufpending force, according as Dq is 

 taken upwards or downwards in the line AB. 



It is evident that Kq is parallel to PQ, and therefore 

 though the leaft force (which is perpendicular to Kq) 

 differ from that in the former cafes; yet the directions 

 for having the greateft effect are ftill the fame as in the 

 foregoing table ; the demonftration is in effect the fame 

 as the firft. 



Corollary. By fuppofing 5 to be the fecant of the 

 angle t that the fides of the angular plane make with 

 the bafe, proceeding as Corollary 2d of Problem lft, 

 and putting t for the natural tangent of the plane's incli- 

 nation, and W for PR the weight, we have W (tn+f) : 

 (n — t) for the moving ; and W (tn — -J): (n-\-t) for the 

 fufpending force, neceffary to draw the body along the 

 angular inclined plane by a force acting parallel to the 

 bafe of the plane. 



Example. 

 * Fig. 5. f Fig. 8. 



