134 
DISQUISITIONES GENERALES 
SECTIO SECUNDA. 
Fractiones continuae. 
12. 
Designando 
per G ( a ' 6 'T.®) 
fit 
i^(a + l,6, Y+l,®) F(6, a+ 1, y + 1, x) ^ N 
" '>(»,«, T >) — - = G ( 6 > a .T.®) 
et proin, dividendo aequationem 19 per jP(a, tí-J-l,y —j— 1,o?), 
= a? £(6 + 1, a, 7+1, a?) 
0(8,6,Y.®) TÍT+' 1 ) 
sive 
[24] 
et quum perinde fiat 
6r(a,b, y,^)— «(y — 6) . 
1 - 7(7+7) a?6 -( 6 + 1 »°.r + 1 , 
*) 
G f (g+l,a,7+l,a?) = — +1) a) 1 
1 -( T + 1) J g-+- a y Jgg(tt + 1 » 6 + 1 » T + 2 ^ ) 
etc., resultabit pro G{a,t), y, a?) fractio continua 
[25] 
ubi 
,F(a, 6+1, y+1, a:) 
JP (a, g, y, #) 
¿a; 
dx 
1— etc. 
a = “frr 6 j 
YÍY+0. 
c __ ( a + 0(y+i — 8) 
(T + 2)(r + 3) 
e — ( a + 2 )(Y + 2-6) 
(y + 4) (y 4- 5) 
z, (g-f l)(Y+l-ct) 
(Y + 1 )(Y + 2) 
f J (g + 2)(Y + 2— a) 
(Y+3)(y + 4) 
/* = (^ + 3 ) (y + 3 — «) 
^ (Y + 5 ) (y + 6 ) 
etc., cuius lex progressionis obvia est. 
Porro ex aequationibus 17, 18, 21, 22 sequitur