23<^ 



Demonftratio. 



5. 8. Conftat ex elementis calculi integralis, effe 

 f — ^ = 2. Arc. fin. i' -^. 



J V {2b — X) X 26 



Pofito itaqae / ^ = cof. u; adeoque 

 Arc. fin. ]/ g"^ zz 5^0° — u; erit 

 - — p^ — =: — zdu, et x = 2 b . cof. u'. 



V 12 h — X) X 



Sit breuitatis cauffa ?-^ = ^^ vt ob /i zn 2 6 . fm; | <^, '^ ha- 

 beatur /11=: cof | <^, eritque 



X — 2 b -}- /i =: 2 b (cof. u- — A.^). 

 Subftitutis his valoribus habebitur (J. 4,) 



'Y — ■]/ z-t f ^ " 



integrali ita fumto , vt cafu cof. u — K fiue u r= f^ euanc- 

 fcat et ad cof. u — \ liue ii=:o extendatur. Sit iam 

 f ^^ = U adeoque T =1 — U . |/ ?-^ : 



atque differentiale d U ita repraefentare licet, vt fit 

 -^^ ,, 3 a . fin. u 



- conu./(i-4;j{'-coi:u") • ^ ; „, _ 



Produao radicali denominatoris in feriem euoluto, erit: 



a U = 9 u . -|;Ji [ A -t- B (cof. u^ + jilj) 



-)-C(cof.u^-i-jj^J, 

 -4-D(cof.u*-l--^J 



etc. 

 exiftente i.kni 



'B—oL-hc^^K^-\-^yK^'^ylK^-\-Gic. 



C = 



