48 



ipsins 2 evolvatiir, eandem seiiem necessano provenirc de- 

 bcre, qno pacto valoies litteraium a, (3, y, ë^ etc. sponte 

 innotesccnt. 



§. 6. Ex rclationibns igitnr , qnae intcr litteras a, 

 p, y, 5, etc. inteicedunt , supra §. 4- alldtis, sequentes 

 operationcs inslitiiantur: 



V rz l H- az H- f3z.^ -h yz' + d-z.« -f- e2-^ -h etc. 



ï 2; V = -t- î -\-la + i(3 H- i y -h ^. 5 -+- etc. 



lzzVz:z — +i H- i.a +if3+iy + etc. 



^z'V= — — + ^ +:^a4-xp + etc. 



jÏ5Z*V::= _ __ „ _^ .l__|__i_a-f-etc. 



^z^V— — -. ^ — 4-_î__^ctc. 

 etc. 

 Hoc scilicet modo omncs termini, praeter piimum, ad nihi- 

 lum sunt redacti; eritque crgo 



V (1 + îz. 4- î^M- ^z" -i- ï^ô^* + 7^3 2^ + etc.) z= 1. 

 §. 7. Cum igitiir sit e'^n: i-f z-i- ?,z^-i- ïz'-f- J,z*-)-etc. 

 ent — ^- — ' HZ i , ideoque Y:zr-^^^^, quac cxpressio quo 

 facilius iteriim in sericni converti qticat, ponamus z—2t, lit 

 sit V :zz -^— , ideoque Y -j-t :=it . Vt"^* N""^ statua- 

 tur \y~- z:z u , fictquc Vrrfu — t. Cuin igitur sit 

 u ziz -f— — , , hinc exponentialibus evolutis eut; 



,, t - ^ f,f -^ ht4-^ ^U '^ -+- "K:- 



