1^2 DE CALCULO IKTEGRALL 



Ergo sequatio canonicti mutatur in requentem : 



meAz^~'dz-\- ( lq-\-ni)fAz'^'i-'dZ'^{2lq-\-m)gAz'''^^ ^''di^ ^mdK-^RdN. 

 •^lm-\-q)eB- -{-{Iq-^-m-^-q)/^ 



-\-{j?!-\-2q)eC 

 lam comparatio terminorum homologorum prxbetti 

 A-:=:la- _^----_^----_]: {m-\-oq)e 

 l^—l-\-b~{lq-\-m)fA _____--_]: {m-\-q)e 

 C—l-^c-^^lq-^-m^gA-^lq-^-jn-^-q^f^ ____]: {m-\-2q)e 

 'Dz=zld-{'^Iq-\-?n)hA-{2lq-\-m-{-q)gB-{lq-\-I-\-2q)fC- ] : {m-\-3^]]^ . 

 Hae determinationes cum Newtonianu ad amuflim con- 

 fentiunt. 



Verum,quia- in ultima ^quationecanonica femper a!i- 

 quamembraremanent,quorumratioefl:habenda,adeoque 

 vocabimus haec membra Qz'^-^'^'^-' dz-^Ylz'^'''^-' dz 

 ^ j^m^-s 5— I ^2 , eritque ultima sequatio canonica 



-f-R^N. Ex hac vero elicitur 



^/(Gz'^^^- V^^H^:'"-^^^- V^-I-Is'^^^- V2:)R^-' ) 



mNR^quarewcando^— G2"'-^'^^-V«-hf52'"-^'^-Vz 

 ^lz^^6q-v^^ , habebimus N=r— YR-^ , adeoque 

 : mz=.(A~\-^z^-\-Cz'' ^-+-D^^ ^)2"^_YR-^ , quare inte- 

 grale qiitefitum erit MZ=:(A-4-Bs^-i-Cs-^4-D2^^-i-&c.)' 

 Z"R'-Y 



Ubi quidcm funt 



Grr(3/^-f-?«-H)^'BH-(2/^^-w-h2^)5C-4-(/^'H«H-3^^D. 

 H=:r( 3/^-Hw?-f-2^)^ C-4-(2/^H-/7z-h3<7)^D 

 Izzi^-^^q-^m-^-iqy--^' 



In cafu, quo feries R finit ir termino,cuias cocfHciens 



eft 



