Om nog^Ic transcendente Funktioner. 331 



o 3^'''32 3 ^ 



^l08(fp/f-bif-a2l/-f+bî]/f-a,b,|/f+aj 



Og- hvoraf : 



132) c, S(Xi) + c^ S(x,) = C - ^^x) - C3 S(y) 



c^, C2 og: C3 erc bestemte ?ed en af folgende Systemer af 



Ligninger: 



2 2 



((K + l>i3f 1) — (ao+ai^i+aa^i )) X 



o 2 ^ 2 3 



Xl/(l+dx,+cx, +fx, )=c,(l+dx,+ex,+fx,- 



2 



(ao+a^Xi+a^xJCbo+bixj), 



2 2 



((b^+b^xa)— (a^^+a^x^+a^xj) X 



lSS)Vxi/(l+dx,+ex,%fx5=c,(l+dx,+ex,+f^,- 



2 



— Oo+a^x^+a^x JCbo+b^x^)), 

 2 2 



((i>o+»>iy)-(ao+aiy+a2y)) X 



^ f> Q 2 ^ 



X K(l+dy+ey +fy ) = C3(l+ciy+ey +fy -- 



2 

 — (ao+aiy+a2y (l>o+I>iy))5 



k 2 3 2 



1+dxi+eXi+fXj, — (a^+aiXi+ajXi )(bo+biX JX 

 ^ 2 ^ 2 2 



Xl/'(l+dx,+eXi+fxJ=rCi((ao+aiXi+a2Xi)-. 



,^.v -(bo+b,x,)(l+dx,+ex, +fx J), 



134)\ 2 3 2 



(l-|_dx^+ex2+fx2— (ao+aiX2+a2X2)(bo4-biX2))X 

 3 2 3 2 2 



XKCl+dxa+eXa +fx3 ) = C2((ao+aiX2+a2Xo) — 



10 9 

 -(b„4.biX2)(i-Hx^+cx, 4-fe, )), 



