280 



whi^, give the value of the horizontal resistances when the 

 top is horizontal and the face vertical ; calculated from the 

 " Equation of Prony." 



Column 5 contains the coefficients w^hich, multiplied by 

 whi^, give the values of the horizontal resistances, rejecting 

 friction at the face, required to sustain banks with a horizontal 

 top ; the face sloping 10° from the vertical : Q = 80°. 



Column 6 contains the coefficients which, multiplied by 

 wh^, give the values of the resulting resistances when the 

 top is horizontal and the face vertical, as in Column 4. 



Column 7 contains the values of the coefficients, as before, 

 for finding the resulting resistances when the top is horizontal 

 and the face slopes 10° from the vertical, as in Column 5 : 

 e = 80°. 



Column 8 contains the values of the coefficients for finding 

 the values of the resulting resistances when the face overhangs 

 10° from the vertical, and the top is horizontal : in this case 

 Q = 100°. 



Column 9 contains the resolved coefficients of wh^ for 

 finding the portions of the resistances in Column 6 at right 

 angles to the face, which in this case are horizontal. 



Column 10 contains the resolved coefficients oi whi^ iov 

 finding the portions of the resistances in Column 7 at right 

 angles to the face. These, in this case, not differing much 

 from the resolved horizontal portions, may be compared with 

 those in Column 5. 



Column II contains the resolved coefficients oiwh^, for 

 finding the portions of the resistances in Column 8 at right 

 angles to the face. 



Column 12 contains the values of the coefficients which, 

 multiplied by wh,\^, give the \i[i\xna.te or maximum maximorum 

 values of the resulting resistances ; the face being vertical and 

 the top sloping upwards, at the slope of repose. 



Column 13 contains the coefficients for finding the hori- 

 zontal portions of the resistances determined from Column 12, 



