Infinite Series 
87 
I ij 2 X I . 2 . 3 . . m— 2 cc — / 3 — 2 . a — / 3 — 1 .^ — 0 . . / 3 -f - 72 — 2 X y~/ 3 — 2 
. y — 0— I . . y — @ + r — 2 X^-^-2 . ^ — /2 — 1 . . + &c. 
3 . y— 2; . y-—^— * 1 . . y — /2+ r— 3 x^— 3 « . ^~/ 3 + j— 3 x &c. * * * 
1 X 1 
1 . 2 . 3 • 4 ■ • ^ u—@—m , u—@—m+i *, a — @+ n — m xy~ ( 3 — m , y~$— 
It otherwife, affume the quantities «, a+i, « + 2, a + 3, . . . 
@1 $ + i> / 3 -f 2, * , fi + m; y 9 1, y + 2, . . y + r ; 
8, 8+i, 5 + 2 , . .-8 + j; &c. fubtrad one as from all the re*» 
maining quantities « + 1, as + 2, . « + « ; /?, ( 3 + 1, . . / 3 + m; 
y 9 y+i 9 **y+r; $, $+ 1 , • • $+s; &c. and multiply all the 
differences refulting 1, 2, 3, . • n; /3 - a, /3 — os + 1 , A * (2 — a +m$ 
y — cc 9 y «- as + 1 9 • • y — « + 2, • • y~-«4-r; c — a, S — as + 1 , . . 
5 — a + r, &c. into each other, and call the content p\ In the 
fame manner fubtrad as + 1 from all the remaining quantities os, 
a + 2, as+ 3 ,...* + »; @ 9 (3 + 1, - • /3 + flZ; y,y+i,-.y + r; 
8+ 1, . . 5 +j; &c.; andletthe remainders- 1, 1,2,3, • • 1; 
(3 c& 1 , j3 — ot 9 /3 — - as + 1 , • • (3 ~~ <z + nt — 1 ; y — a —* i 9 y & 9 
y — as+i,. .^ — as + r — i;- 5 — «— i ,5 — as,£ — a + I,.. J — as+r — I, 
&c. be multiplied together, and their content be called />*+ r . 
In the fame manner fubtrad as + 2, 05+3, ..as + « refpedively 
from all the remaining quantities, and let the differences re- 
1 
m+i , . y-^-w + rX^-^- w . % — I . $ — {3 — ?n-\-s x &c7 ° ? 
X^— y . J— y+i . . y + JX&c. 
fulling 
