A N A L Y T I C A E. 77 



§. 29. QiDJ fi iaiTi riiigiil;! luiiiis aeqiintionls 

 mcmbra cuoluantur et tam fecundiiin numeros I, U 

 III, IV quam fecundum fiirmuhis aa/a, (3 (3 /3, 

 yy/y, S S I S' iii, ordinem difpoiiantur , obtincb:- 

 tur fcqucns aequatio : 



IL'*^ ^) U "' <"« — ^' a. rv fa — J) 



g —01 l_ III Ig — Q! I 



— aa:£j£__, -a — ff ,3i/,i_ , fa — 6 7 Vj!>_^ , .a — 5)65/5 



quae acqujiio pcr a- $ diui(a ad pulchcrrimam vnU 

 fjrmiiatem reducitur ^ quo faAo fequcn.s nancilcimur 

 theorema ad hunc caUim adcommodatum : 



Th.orcma 9. Ifta formula integralis 

 dx /■ ^ x^ 





+ .7-TT7-~75Tr.-^ + 



v)y 



(y-«)(y-pXY-^) (^-«)(<^-l3:(<^- 

 9 tcrmino a" — o vsque ad terminum .v — i cxten- 

 Ij aequarur lcqucnti fbrmulae 



aaja , p 3 / /3 i yy iy i J^J- / S" 



»:«— P};a— -y « -5j '•' :(P-a' .3-7, ,3-5; ~ ^y-x.y-^xi^i :{5-x] i—^S-y) 



cx qu3 forma pcrlpicitur , quo modo ad calus magis 

 compofitos fdcile progrcdi liceat. 



§. 30. Ad hunc moJum etinm prnecedcntes 

 caTas repra (enfnre opcrae pretium crit. Ita pro di- 

 vifore /x habebimus fequentcm formam inte^ralcm : 

 ^ dx x^ A-3 __ J_a^ /j3_ 



^ x[lxy '^^) "^ ^"a. — a - (3 "^ p - a' 

 Dcinde thcor;;ma §. 24.. allatum ita refcrctur : 



K 3 J" 



