AlIAE KONNDLLAE APPLICATIOT5ES ETC. 531 



n\ (x-hr—m-^'i )... (.r- t-;-) (.r - W.+-1 ) . . . j: (x—m-^2)...x y 

 1-2.3.../71 ""1.2.3...^ "^ 1.2.3...(/»j_1)'T 

 ( j"— w-f-3)...3 : 70' 2I) 

 1.2.3...(/«_2)' l'.2 "*■ 



JCr— '')- 0- — ^-(-1) 

 1.2.3...W 



el haec aequalitas tlicorcma Vandcimondii, sen formiilam 

 comprehcnclii, quae potentias secuudi orclinis ab eo nuncu- 

 patas respicit. 



2, Si ex nostro prirao commentariolo rcsumalur formula 



(2) [10^ i-1('"-^<)]=[l(iM- . . .!Hl("+f+')] — £-[l(i)-t- . ."IhV-^/'+i)] 



-t-'-j^— L1C^^-+-...H-1("-^/'+l^J— 



• • • - 1.2 3 r ^^ ^'-^ • • • ■♦■^ ("^+l)JrH . . . ,' 



et loco n scribatur «■ — 1 , alia eruetur aequalitas, quae hoc 

 modo scribi poieili 



10)_H . . .-Hl(m-M)j'=[l(l)-J. . ..^K'^+l^]- Z.[l(1)_H ."^..^.l (m)] 

 p(n 1 )r n-f-;;— 1 ., 



■^ 12"^''^' '■*■•■ •■*-^^'"~'^^- 



_^ /'(/' 1 ) • • • (P r-(-1 )r 1+,;— 1 



1 .^.o . . . r -^ 



Ponatur ^=7, nz=zx — y — m-t-1 , et exsurget 



•1.2 



■ ■ ■*^^.Tzr^'[i"'*--*^'"— 'k-. 



