BERNOVLLIAN. INVOLVENTIVM. 16*7 



fumus certi , infigne conrecuti fumus hoc theorema 

 quod fit integrali a valore Cpro vsque ad $— ^zipo' 

 extenfum /^'Cp/ cof (f)=- -^ 



vel fi ponamus cof (pzzi?, vt termini integrationis 

 fint V zz i et V — o often iendum cft fore , 



r d vlv TT Z 2 



■^ [! -VV) z~~ 



vnde hoc integrali in feriem euoluto crit 



2 "~ ' 2.;-= ^^2. 1.. S- ^ l.f.6.7»^^ 2. +,6.8. i,^ 



quae feries vicifllm reducitur ad f~ Ang. fm. s 

 ponendo poft integrationem s—i: haec vero porro 

 pofito s ■zz fin. (f) ad hanc 



quae cum fuperiori congruit. 



35. Quod autem fit /^Cp /fin. (J) ir — !^ 



hoc modo demonrtratur. Cum fit ^z: 2 fm. 2 (b^- 2 



fin.4(!)-i-2 fin.(5([)-H2fin.8(petc. erit 



;fin.(I)z:-cof aCp-lcof 4$-5Cof 5(l)-icof 8Cpetc.-/s 



ergo/./(p/fin.(I)--(J)/2-^fin.2(I)-^fin.4.(f)--L^fin6(!)--L. 



fin. S (}) etc, 

 iam fado (pzr^ fit/^Cp/fin. (J) — "f /2. 



DE 



