CAhCVJuI SINVVM. 191 



Tel alicubi teriijin.ibitur , quod pofterins eucnict, ii fucrit 

 A-B-+-C-D-h etc. = o. 



C O R O L T.. 2. 

 5f. At A-B-hC-D-H etc. eft valor ferici 

 propofitiie S cr.fu quo nngulus (J) fit rectiis ; feries crgo 

 S tang. Cp non sbriiinpitur , nifi feries S ita fit compa- 

 rata, \t cafu (f) :=r angulo redo in nihilum abeat. 



F R O B L E M A VIIL 



35. Si pror.ofiti fuerit haec fcnes: 

 S r:Bfm. kCf) 4-Cfin. 4.CP -|-Dnn.6(p -h Efin. 8 Cp-^-etc. 

 inuenire feriem, quae cxprimat valGrem formulae -^^jj:^. 



S O L V T I O. 



Ponatur ferles quaefita : 



^i: a+(3 cof 2 C}^ +y cof 4.0+<Jcof ^Cp+e cof 8 C|)4- etc. 



quae per 2 cof Cp multipiicata dat : 



2Sfin.C|)r2acor.Cj)-f(3co(.3C|)+Yco^o^+ocof.7Cp+ecof9Cj)4-etc. 



+p +Y +^ +e +^ 



vnde terminis fimilibus aequiiiidis elicitur : 



Pz:zB-2a 



Y::rC-B-p=;C^2B-{-£^ 



^-D-C-Y-D-2C-^-2B-2« 



*r=E-D~<rz=E-2D-+2C-2B-i-2a 

 etc. 



Cocfficiens ergo a. manet indetermin.i.^us, pro eoque pro 

 lubitu valor aflumi poteft. Q. E. F. 



CORGL. 



