( 14 ) 



nnde deduclmus D:::— 2,C=3, B ^ ^ qz A ^^ a 



/ 



IT = 12(3 + 2:.^ "^ '-^ ^^•^- ^^-^"S- ^ ^? 



-- J Log. C3 + aA;*3 

 XIII. 



Unnm bac paragrapho geiicrale exemplum addamus, 

 unde omnis appareac haias methodi ufus. 

 Quaeratur v. c. integrale 

 112 x^ -4. 56 x^ 4-932 x^-';4.2ox^ 4- i^oB .r^-ia^9a-4- SaSC) 



Hanc fractioncm primum in duas alias folvere posfnmus 

 ponendo 



J-hBx + Cx^ -^Ox^ ^ JEji-Fx-hOx^ 



(3 + 2x*^* (3-ix;3 



Si iam hasee fractiones ad euiidem reducimus denorai- 

 natorem fie 

 C^-h-S^'-hCx^ +Dx^)rz-^xy +(E + Fx + Gx^) 



(3 -ha;c»3* = ^ 

 Mulnplicatione indicaca peracra, atque coefficiencibus eius- 

 dcm dignitatis .r in linea vcrticali poficis , erit o ^ 

 27 ^4- .•7^:v-4-^7Ca;* 4-27 Djt-^ 



-- 54 ^^ - 54 5 ^>^* - 51 C.t3 - 54 Z) A^ 



4- 36 ^ a* 4- 36 ^ a;3 4- 36 Cjv** 4- 3<S D x^ 

 P-E4-P/\t4- pG.v* - SyfA'^- SJOx"^- SCx^-^SDx^ 

 4-i2i,\v- ~h i2i^a'3 -4- ic G\v4 



4- 4A\v^4- 4Fx^-hj^Cx^ 

 - 828 + lidpA' - i6o3 .^2 4, 1^.3 ,,3 _ ^30 A.-* 4-456 ^;5 -I J 2.V« 



His 



