(78) 



inilLis allas ciirnas in fe compleditur, qiiod qnomodo eueniat 

 iiobis eft oftendendum. 



§. 10. Quo hanc formulam fimpliciorem reddamus 

 fmnilqne littcrarum numerum diminuamus, ponamus zz-bbv^ 

 vt fit ^ — i^, tum vero ponatur ^ c c — {::. n -\- ^) b b ^ vbi 



meminiflTe oportet efle b b ziz c c — a a^ quo fado noftra ae- 

 quatio fiet 



^ 1 'u -\/ [i. n V — V V — i)' 



quae aequatio commode in duas partes refolnitur hoc modo : 

 2.d(h~~ ^^" -f- i2i , 



V (in V — 'v V — 1 ) 'v V {^ n -v — v v — i ) ' 



in qua pofteriore partc fi ponamus ''j~ J, habebimus hanc ae- 

 quationem integrandam: 



2d(b= ^-^ ^JL- , 



■^ /(iin-u — V 'u — I) Y (in u — u u — i)' 



licque fufficiet altervtram tantum partem integrafTe. 



§. 11. Pro priore partc introducamns quempiam angii- 

 him 0, poncndo i? ~ a h- [3 cof. 0, et quantitas znv — ^i^v — x 

 induet hanc formam: 



2 « a -+- 2 « f3 cof. & — P' cof. $ 



— a. a — 2. a ft cof. 



— I 



vbi primo termini cof & innohientes tollantur, quod fit fu- 

 inendo a zz ;;, tnm vero ftatuatur 2a« — aa— i~(3(3, vt 

 ida forma tranfeat in |3 (3 fin. 0". Quia vcro eft a — «, aitera 

 littcra (3 ex hac acquatione definietur: 

 2 « ;; — n n — i ~ ;/ ;/ — i — (3 (3 , 



idcoquc cft j3 r |/(;/;/— i), atque hinc prior formula _ ^^.vx-r \ 

 transmutai-nr in hanc: —3 0, cuius crgo intcgrale e(i —0. Gum 

 igitur poluerimus i; = ;/-(-cof. 0. /(^;/;/— i), erit cof. 0~ -"',~J',) , 



lUeo- 



