220 ON THE DETERMINATION OF THE ATTRACTIONS 



entering into </> is likewise constant. Neglecting therefore this 

 factor as superfluous, we get for the particular value of H, 



since - 



and P a represents what P becomes when p is changed into , . 



of a 



Substituting this value of H in the equation (25), No. 10, 

 there results since a 2 = a' 2 + h 2 



= K.P, , .................. (46), 



K being an arbitrary constant quantity. 



Thus the complete value of V for the particular case con- 

 sidered in the present number is 



(47), 



and the equation (27), No. 11, will give for the corresponding 

 value of p', 



p= 



, ns 



rf" s+1 



\ 2 



where P/, %^ @ 2 ', &c. are the values which the functions P, 

 t , 2 , &c. take when we change the unaccented variables 

 fi f 2 '*--ft m * tne con-esponding accented ones f/, f 2 ', ...f/, 

 and 



n 



or the value of P when /o = 1 ; where as well as in what follows 

 i is written in the place of * (8) . 



