§. 37« Subftituamus nunc loco litterarum A,B,Cva- 

 lores modo inventos, et aequatio inter has ternas litteras erit: 



1 _ { 2nj_l , /( » + 2,« -XX } „ _ 

 4 4(i+II ^4in +2)ti+-Ir ' 



quae reducitur ad hanc formam: 



" ( ;$fr^f *" = t£ *-<-**> unde colli § itur 



J. 38. Tribuamus nunc litterae X fuccessive "valores 

 o, i, 2, 3, 4, etc. ac reperiemus fequentes relationes pro 

 fingulis litteris: 



rn-f-2) 2 —02 M // 2K-4-3 M >_£_ « ^ 



— T+T P -i-ZP 



(n +2) (» + I) J 



_______-_! q" _: 2* -^s V 4- 3 o 



<n-t-2)in~+-I) ^ n-hl ' w ' 



(n + 2) a — og r <" — 2n +J ^/ _|_ « r 

 (n + 2) (n + I) ~^~ n-t-I 



(n + 2)* — S« j// — - 2ti-4-3 $ ' _|_ <j ^ 

 (n-+-2!(n+-I) n-f-I 



etc. etc. 



§. 39. Cum igitur pro littera q habeamus hanc ae- 

 quationem: 9 /7 _z: ( -_^±|^-((2w-r-3)g'H-3 (n + i)q 9 casu?i = o 

 erit q zzzz o et ^ = 1 , unde fit q" zzzz \ (3 . 1 -+- 3 , o) zzz 2. 

 Nuncpro b = i, obgzri et q'zzz i, erit qzzz^ (5.2-4-5. 1)2:6,. 

 Tum pro casu 71=12, ob qfz:2 et ^=6, erit ^"-^ (7. 6-^9*2) -16. 

 Jamfumto /1 = 3, ob qzz6 et </':_ 16, erit tf'zz'-Lty k 1 6-+- 12» 6)1=4.5» 

 At casu rcz^ob g=i6 et q'zz^s, erit q"zz£(i 1.4.5 -+- 15. i6)ri 26. 



$. 40. Hic autem calculus multo laboriofior et taedio- 

 fior eft quam praecedens pro valoribus litterae p expofitus. 

 Verum alia methodus multo facilior inde derivari poterit, 

 qua omnes litteras </, r, s per folam litteram p cum suis 



N«va Acta A cad. Imp. Scient. Tm. XIV. M deri- 



