195 S F B S l D I F M 



euanefcat pofito (^rr 90", tnm (eries ^0/^ ^"5^^ con- 

 ftabit terminoriim numero, fiquidem reriei S fuerit talis: 



S C H O L I O N. I. 



47. Quatuor haec problemata methodum fuppc- 

 ditant, formuks fupra (16) exhibitas ficilius inueniendi: 

 atjue haec problemata ita adornaui, vt has formulas or- 

 dine retrogrado fcriptas praeberent. Cum enim valot 

 expreifionis 2""' cof. CP" iam fupra per progreffionem 

 coiuiuum fimpiicium fit erutus , inde horum problema- 

 tum ope iftae formulae : 

 i'*-fin.Cf)cof.Cl)''-'- 2"-fin.Cj)'concJ)''-^; a^-fin.Cj^^cofCp^^-^ietc. 

 in fimiles progrelTiones conuerti poterunt : ac fi quidem 

 exponens « fiierit numerus par , negotium per bina 

 problemata priora conticietur , fi autem n fit numeriis 

 impar, per bina pofteriora. Qiioniam has formulas iam 

 ad poteftatem feptimam exhibuimus ; fumamus potefta- 

 tem odauam ex §. 9. 



1 2 8cof Cl)»-3 5 +5 6cof 2Cl)+2 8cof 4Cl)+ 8cof.(SCp)+coL5<|i 

 et in problemate VIL fit S— i28co(.C|)% erit 



A=^35; B=5^, C=Z2S, D-8, E=:x 

 Tnde eruitur : 



ynrsty— 28 — 14.— 14 

 ^rz28- 8 — 14^1: 6 

 £— 8— 1 — 6 — r 



ficqae erit: 

 1 2 Sfia.cpcof.C|5' •— 1 4fin.2C|)-t-i4fin.4(|>-i-(Jrin.<JC|5-i:^fin.84> 



Sit 



