»4 OBSERJATIOXES ANAtlTlQAE VARL4E 



quo valor cuiusque litterrarum a, £, y, <$", etc. ex praco 

 dente determinatur. Sic cum fit 6 — ,-^s eri &—£/;« 

 -f-aww ; quare fi ad fericm S pcr // // mutiplicatam ad- 

 datur feries a pcr /2« multiplicata, ipfa feries 6 oriri delxl r. 

 Cumigitur conftet lcici Sprimiim terminumefie» s ponan us: 

 g— a^r 4-6«* -1- C'i J -\- t» e -f-e« 7 -f- f/;' -f- <]>; 9 -f- etc 



critque 

 §« 2 rr -f- 0-«' -f- 6 « 6 -f- C « r -r- ?> ^' -f- C /J 5 -f- etc. 



Simili modo cum fit y =r 7^5 feu y — yn 3 -\-^n r , er 

 ferie § formabitur feries y , atque porro ex ferie y ope. 

 acquationis £ rr 5 n* -f- y n* producctur fcrics <5" j pari- 

 tcrque lequcntcs omncs corificicntur. 



§. 25. Qiioniam in cxprcflione 

 R -1 -+- az -+- £z* •+- y: ! 4-£*r*H- etc. 

 valorcs littcrarum a,S,y,£,etc inuenimus , fitquc 

 R rz (i-\-nz) (i-f-/'*~) (i-f-/' J ~) (i-\-n*z) .... 

 conucrtetur prodinflum hoc cx infinitis ficloribus conflans: 

 (i-\-nz) (i-f-« 2 ~) (i-f-// J '~) (i-\-n<z) .... 

 in fcricm hanc fccundum poteflates ipfius z proccdcntcm 



, n n 1 * 1 _^ n« z* ■ _ 



' ii-b~i (■->:' ,-n 1 ( _ t _ (i-n);.-n J X'-'' 3 ) _r ~('- n K>-" , >. ' ' ' etc 



|ue fummac huius feriei logarithmus hyperbolicus* 



§r.r. nn~ 5 , n' : n+ i* 



. iocntrr l _ r{ -- ,_,., . ,, •- .. }- ctc. 



li k fcribatur pro namcjo , cuius logar. zn 1 . crit 



