( 319) 



1 ~ A 



■''an— l •''an 



For this the 2 n quantities Aj, A3, . . . A„, p^, p^, . . . /j„ must be 

 eliminated between the 2n -j- I equations 





(7) 



where successively 0, 1, . . . 2>< — 1, 2» has to be substituted for /:. 

 In the indicated wav we shall "-et the result 



X.2 



H 



•'■»— 1 



J'k + I 



^«+1 



. (8) 



^■;i— 1 ^n •'■(1+1 • • ^2n— 2 ^2n^l 



Xn a*„+i a-,, +2 • • '''2»— 1 «"a/i 



Likewise in this general case the Ici't hand member of this equa- 

 tion represents an invariant of the binary form of the 2/*^^ degree 

 in ( — A), which made equal to nought indicates the osculating space 

 belonging to the point L of A. In symbols this invariant is indica- 

 ted by n {alif where 11 is the general sign of multiplication and 

 '>+i 



where the index « + 1 points to the fact, that the multiplication 

 must be extended to the i « (« + 1) factors {ahf which can be 

 formed of « + 1 set of coefficients a, b, <■,... i). 



By substituting the values (7) in the equation of the osculating 

 'space we find 





(9) 



that is to say 



') Probalily the ü;eueral uot-atioii n {nljf makes its first appearance liere. At 



least I t'ouiul everywhere the notation in the form of a determinant and nowhere 

 a symbolic representation nor a reduction to trausvectauts. 



