DE PROGRESSIONIBFS HJRMONICIS. 159 



/ 



l ~ -TT". Quo aiitem haec expreflio fiat finita fa- 



do a;— I , debebit efle -jfzz^^ hanc ob rem fiant omnes 



7 I X 



hae htterae rz i , entque s — t—l, — ——; — l{i -^x 



^ X- --.v"''"') Qiiac expreflio dat differentiam in- 



X* X' X* X' x'^ x^-"* 



ter has fcries .v-l-- -H -^ -\- - etc. et —-\- 



2 3 4. 5 12, 



-f-' — etc. Quare fi mzn^. erit /( i -i-.v)ii:.v — ""/ -f- 



3 ^ 



==/-^_"_l_etc. fi jwzzs, erit /(H- x-f-A") — .v-M' 



- '7^ -h -t -4- f - X -H etc. fimihque modo /( i -\- x 

 -}-.v^-hr jr=.v-hf H-f -T-'-i-etc. In his fi fiat 

 X' zn I , prodibunt eaedem feries prd logarithmis aume- 

 rorum naturahum , quas ante dedimus. 



ftl — 2 



fx^ rmx ^ dx 



jx rmx ^ 

 §. 15. Si h-^xg, erit t-~J —- 



Pona'- 



tur x™ —y , eiu t _ -^ J ,.-y)^y — t" /r — 



■V> 



fa,- 7 I -V-.V ^. ^ , . C] r 



■'^ ^ --. Si praetcrea fit a-zzb ent^ — 7/ . 



/? I— .r" ^ b i—x 



At j- eft fumma huius feriei f^H-Tir -f-T^ etc. atque 



m m -m ^ 



•=!? f ,i^-.v= f.V^ /.V= , fv~ 



/.v " Z^T^ s- dat hanc iericm -\- \— 



h i-.vl* g 3^ sg 



-m I 



4-etc, Sit a—i et .e-iri erit j— /.v ' zncl — 



I — X 



