(38) = 



Euolurio formulae prioris 



§. 4. Qiiodfi iftam formulam differentiemus , prodibit 

 A cof. X Cp (fm. Cp/ + ' -^ (a -f- I ) fin. X (p cof. Cp (fin. (p/, 



fiue 





|| :=r fin. (p" (X cof X (p fin. (p -h (a-^ i) fin.X (J) cof. (p). 



lam in fubfidium vocentur redudiones notifilmae : 



fin. -h (p coC. (p =z l fin. (x -f- 1 ) Cf) -f- -i fin. (X— 1) C^ et 

 cof X Cp fin. (p = l fin. (X -+- i) Cp — l fin. (X — i) (p , 



quibus \aloribus fubftitutis reperiemus : 



'-^^^ = fin. CJ)" [(an-i^X) fin. (X+ i)Cp-H (a-f-i— X) fin. (X-i)Cl)], 



vnde colligimus banc integrationem : 



2 fin. X (p fin. (|)" -^' = (a-4-n- X) / acj) fin. C|)« fin. (X-hi) Cf) 

 -+- (a ^ I — X)/5 fin. Cp'' fin. (X — i) Cp) , 

 vbi notctur cfie 3 Cf) fin. Cp" izi « 5 j-. 



5. 5. Ponamus nunc ftatim X zzi a -h i nr *"- , atquc 

 integratio inuenta pracbebit 



m 



fin. ^ Cp fin. (^^' zz: m/d s fin. ('!!^'') (]). 

 vndc ■\ici(rim conficitur 



m 



/a s fin. ™-tl' Cp =r l fin. ^; (|) fin. (p-T . 



Hinc fi fuerit ^r izi 5 j fin. (!^-^) C|) , valor ipfius j' erit al- 

 gcbraicus. 



§. ^^. Sumamus nunc in noftra integrationc gencrali 

 X = I -h Hst^-l — "Hj^Uh , atquc habcbimus 



1 2 fiu. 



