181 



contained in the several braces, and the quote (without re- 

 garding the co-efficients) is of this form, 

 Cp+q+r+s +t +Sic.+ d^ +&c.)P"' 



'pg+pR+pS +pT +kc.+pD^ 



+^Q+5rR +gS +&c.+yD„_, 



+sQ, +&C.+JD 



n— 3 



+&C. +&C. 



• /»Q+/>QR+/)(QS+R)+&c.+j5(QD + RD +&c.)+&c. 



n-i D-2 



+7Q +9QR +&c.+;?(QD+RD +&c.)+&c. 

 +rQ +&c.+r(QD+RD +&c.) + &c. 



0—4 



+ &C. 



.p-I-2 



+&c.+/)(QD+QRD+&c.)+&c. 

 +&c.+^(Qb+QRD+&c.)+&c>P-'- 



«-3 11-4 



+&C. +&c.„ 



If d^ is put for any of the differences, q, r, s, &c. or"in ge- 



th ° 



neral for the first among the v differences of the dividends d 



being always of one dimension, and its order being v, the 

 product of its Index and order is v; therefore, putting 



^+rp— rf)+2(d— e)+3(e— /;+&c.or v+p+d+e+kc. = n, when 



th 

 the constant co-efficients of the — 1 power are expressed, and 

 when each quote is represented in the above form, by ex- 



^ ^ 2 pressing 



