CAZCVLl SINVVM. in 



S tnng. (p - a + p cof. 2 Cp + y cof. 4 Cp 



C O R O L L. 5- 



4.0. Hinc igitiir patet, fi feiies S finito terniino. 

 iiim niimero conftet, Tt etiam feries Stang. (p— ||^p fiat 

 finita, tum valorem ipfius a ita capi oportere, \t fit 



a-B-C^-D-E-f-F-Getc. 

 quo aflumto reliqui coefficientes fiKile reperientur. 



P R O B L E M A. IX. 



41. Si propofita fit haec feries 

 S:=Acof.(p+Bcor.34H-Ccor.5C|)+Dcof,7Cp+Ecor.9(I)+etc. 

 iuuenire feriem , quae exprimat valorem formulae 7^. 

 S O L V T I O. 

 Ponatur feries quaefita 

 ^-afin Cp4 (3fin.3(p+Yfin.54>+^fin.7<P+£fin,9Cp+etc. 

 quae pcr 2cof. Cj) muliiplicata dat: 

 2Sfin.Cpz:afin.2Cp+(3fin.4.Cp+Yfin.6(p+^fin.8Cp+£fin.ioCpetc. 



-f(3 +y -iS ■\z +^ 



At ip(a feries propofita per Efin.Cf) multiplicata dat ; 

 sSfin.CpizAfin . 2Cp+Bfin .4Cp+Cfin 6Cp+Dfin,8Cp+E fin. i oCpetC, 



-B -C -D -E -F 



vnde fequentes prodeunt determinatioues 

 P=rA-B-a 



y=:B-C-(3 = -C-4-2B-AH-a 

 6 =C-D-y— -DH-2C-2B-4-A-a 

 t =P-E-ar=-E-+-2D-2C-i-2B-A-f-a 

 < = E - F- £ rrr-F-i- 2 E~ 2 D-h 2C- 2B-f-A-a 

 etc. 

 Tom.V.Nou.Com; Bb vbi 



