OF THE DIFFERENCES OF THE ROOTS OF A GIVEN EQUATION. 
we have 
Lastly, 
or 
and the equation 
2A«A=j9NeVZ- 
WA=^Wyn*(P^ r, 5)?*(7, s, «, (3, y) 
= a^(3Yh%{a, (3, y, §) 
=^Z, 
5 
-^J = 0 is thus found to be the one given above, No, 10. 
