(105) 



lo». (4, 4) = ,^ 



3 P 



§. 33. Cum fit _ — '"• "^ ^ z= a cof. l tt, tum vcro 



B nn. l 7r 



cof. 5 t: — ^"^^^ , erit — ~ L±il£ , ideoque quantitas alge- 



4 B 2 



braica. Hinc igitur aliquot paria formularum integralium ex- 

 hiberi poterunt , quae inter fe teneant rationem algebraicam i 

 erit enim ; 



(I, l) I-t-y 5 . (T, 2) Jl_ . (3,41 I -*-Vs . ( 4, 4^ IH--/5 . 



'(1,3) 2 ' (2, 2!"^ B ' i3, Jl) 4 ' («, 4) 6 * 



vnde totidem egregia theoremata condi poflent, nifi ex his 

 formulis manifefto elucerent. 



Ordo IV. 

 quo ^ = 6 et formula 



x^ — ^dx r xf-'dx 



/x^^ dx c 



-^ ==/ 



6—p 



l7(x— a:^/-« ^ l7(i —x') 



§. 34.. Quoniam hic cft » = 6, habebimus antc om- 

 nia (6, i)=ii (6, 2) = ^; (6, 3)==^; (6,4) — ^; formuia- 

 rum autem integralium in hoc ordine occurrentium numerus 

 eft 15 , quae funt : 



i^(i, I),- :i^(i, 2); 3'. (1,3); 4"- (1,4); 5°. (x, 5); 

 6^(2,2); 7^(2,3)J 8°. (2, 4); 9°. (2, 5); 10«. (3, 3); 

 11°. (3,4)i 12°. (3, 5); 13°. (4,4); 14°. (4,5); 15°. (5,5)i 



A^owa Jc7fl ^ffli/. Imp. Sc. T.V. O iuter 



