1 14 ^ ( 35 ) 9 C 



k +-ix^ ' hx^-^gx^-^(^c. His pofitis integratio formu- 



lae diffcrentialis propofic^El perficictur ope Tbeorema' 



tis requentis : 



fz-"dz(ax^ -Jhhx^^irz 4. ^ x «•'4 4- ex'«-^ 4-Scc.) - - - (P) 



7Z. z". (?» 4- - i-S;*'»-? 4- J»-4 Cxw^-J+Csfc.) V/a; ^ 4- 1 (Q) 



4-«.«-r/z"-3i/3(^Ar »4-i?-^*'-2+Cxw-44-£x'"'^-^riif^:^ - (S) 



4- [k 1 \r ^C. 



»4-1 V 2f 2.4/" i 4t6/^ 



^ — m.m — i.^ 



ubi fumendi (iint — ; Bzz. ' ■ i - — ;. 



7??^f m — %.f 



c — m — X. m — 3.B e — m—,^. m — 5". C 



C= 7 -: ^ F= ,&c. 



m — 4./' m — 6./" 



Producendie autem fijnt Series Q, R, S, donec ter- 

 mini vcl ccefncientium defeS-u evanelcnnt, vel ex- 

 ponentes nancircantur ncgarivos, vel evadant infiniti. 

 Circa hoe Theoreraa fequentia. funtnotanda: 



1) Seriem ultimam , qure fignatur litera (T). locum 

 tantum hubere quasido cl-l m numerus par,sdeo- 

 que omnino omitti debere fi m eft numerus im- 

 par. 



2) Quandoquidem formula (S) quoad forraam a- 

 mnino convenic cum quantitace propofita (P), 

 nifi qiiod exponens ipfius z , qui in (P) erat 



in (S) fit ;/ — i ; patet Tbcorema ati hanc eadem 

 ratione ac ad-il!am applicari pofTe. Et quemad- 

 modum ope Theorematis, (P) reduftum eft ad 

 (S), reducitur iterata ejus applicatione (S) ad 

 liam fimilem formuIam(S'), & illa iterum ad a- 



liam 



