£x quo intelligitur, ex fuperiori Ferie alios terminos hic non. 

 in computum venire, nifi qui contineant cosCf), qui Funt: 

 2(J'icosCPh-' (i) :|)cos(J)^ 2(|;(|)cos(f)-f-2r|)(f)cosD-f-etc. 

 Hi autem termini ducti in 8(J3 cosCf) et integrati, ob 

 /2 d(pcos$> 2 zz: 7r, dabunt, per it diviFi, ipsum valorem 



q = (0 + (] 1 (I) + (|) © + (§Kf ) * etc. 



'§ 67. Pro littera r fuperior Feries multiplicari debet 

 per 9$CQS2CjX Cum igitur in genere fit 

 cos - <p cos?w0=^cos(w -+- 2)$)-»-|cos(w — 2)0, per d0 mul- 

 tiplicando integrale pro termino (b — n femper evanescit, 

 excepto folo casu m— 2, quippe quo fit fd<pcos iQ* ~ |. 

 Hic igitur ex Ferie Fuperiori Foli termini per cos 2$ affecti 

 in computum veniunt, qui Funt 



i cos k Cp ( © + (j| ) (1) * © ffl + (5) (|) + ctc.)) 

 Quia igitur zfd<fc cos 2 Cp*z= tt, omnibus terminis colligendis 

 et per tt dividendo reperitur 



r =* (1) -f- (|) © -f- (f) (|)4- (I) (1) n- etc. 



$. 68. Quo baec clariora reddantur ac facilius ad va- 

 lorem generalem z accommodari queant, evolutionem pote- 

 Ftatis (1 -+- : cos0) n ftatim secundum cosinus multiplorurn 

 anguli Cp disponamus hoc modo: 



(i-j-2cos(j:)*:=i ^(|)(|)^(|Vr0-4-V|K|) -+- (!) (I) -+- etc. 



-f-2cos$)((j ^{»(§)>Hg){g);*fj Ir-MlKf) -etc.)) 

 + 2co 32 , (/})h-6J 9 + <».$* DQ^fXfoKete.) 



^-.cossCDaD^^Qj+^r^H-d)^)^^) £) + etc) 



2 cosxcj) (,|) * g**> r.-y + C-;- 4 ) ^ + (^- 6 ; (~y + etc.) 



N 2 J. 69. 



