54 Rev. Robert Harley. Prof. Malet's Invariants [Dec. 18, 



T n \dx) \dt) 2 T * \dt ) 



n(w-l)(n-2) /T" 3w-5 T* \ ( d_\ n ~ 2 

 2.3 IT 4 T 2 J \di ) 



7^4 |"t +J t w ^^" + 2 T*"jW 



, *(*-!)( 

 2 



+ &c. 



Hence 



Now applying this formnla in the same way that the less developed 

 form in Article 12 was applied, we obtain the following relations ; — 



_P 1+ n-l T 



Q 3 =g + (»- 2 )¥ : + ^{^ + ^.^} > 



n -3j t- +2(m _ 2) rr + (»-2)(» - 3 ) rn 



4 It ' T 2 2 T 3 / 



T 3 1 I T 2 T 3 J 



, w-1 f r"_ 3T x T" 2T' 3 1 

 2 I T t 2 T 3 J ' 



"win rji3 T 2 ' X 3 X s 2 I T 2 X 3 / 

 - ■ _l /m-lV/T'X" ' X' 3 "I 



_ 1 _n-2 p /T" 9w-ll T' 2 | 

 ' 3 1 I T 2 4 T 3 J 



, (n-lXn-2) /TT 3»-5 r 3 1 

 2.3 IT 2 4 ' T 3 J ' 



^3 ' 



