14 METH. INTEC. VORM. DIFFERENT. R^ION. 



reiiciendo ^ .v per diiiifioncm in fcrics conuertantur , quo 

 facflo prodibit liimma omnium per lcriem cxprcflii : 

 -\-?-?px-^?p\\"-?p\v'-{-?p\x*-?p\v'-i-etc. 

 -i-Q.- Q.'7 v-i- Q.-7'' v- Q.^' -v' -h- Q.^* .V* - 0.7 ' .x' -h ctc. 

 -hK-Krx-^Rr\x'-Rr\x'-[-Rr\x*-Kr\x'-\-ctc. 

 -f-S-SiA--hSi'A'-Sj*.v'-f-Si\v*-Si*.v'-f-ctc. 



ctc. 

 Quanim flimma cum acciualis cflc dcbcat fnKftioni propofi- 

 tac rciccflo paritcr facftorc ditfcrcntiali d x ; 



A -h B .r -h C .V * -i-D.v ' -HH.v'-hF.v' 4- etc. 

 1 -+-a.vH-p.v'-+-YA-'-i-5.v*-|-£.v* -f- ctc. 

 conucrtatur hacc paritcr pcr diuifioncm in fcricm infini 

 tam , quac crit (crics rccurrcns : 

 A — A a.v -I- A a * .V * — A a ' .v ' -H 

 -i-BAT - Ba.v*-f-Ba'.v'- 

 — Ap.v*-|-2Aa(3.v' — 

 -hC.v' - Bp.v'-f- ctc. 



— A y .V * -4- 



— C a .V ' -f- 

 -i- Da;' - 



Qiiod fi iam tcrmini homologi intcr fc comparcntur , at- 

 que intcr fc :icqualcs rcddantur , obtincbuntur lcqucntcs ae- 

 quationcs : 



P -f-Q. -i-R-t-S-f-ctc— A 

 ?p -f-Q.<7-f- K;-hSj4- ctc. — A a— B 

 Pp'-f-(^7*-f Kr'-f Sj'-f ctc.zr A( a'-f3)-Ba-hC 

 Pp'-hQj/'-f K;'-t5j'-f ctc. — A(a'-2nbf Y)-IXa-Vj4 Ca-D 



ctc. 



Ilarum 



