A TATLORO FROFOSITFM. 205» 



Sin vero exponens X fit numerus impa}\ feries 



arcuunri x" 5 /7? x •> ^x^ ? V ^ ^'^c- admittit fiidores H i , ' 

 H I , H 3 , H 3 , H 5 , etc, quorum "\dtimus femper erit 

 zni-^z^ qiiia in arcuara lerie vkimus lioc Ciifu rem-= 

 per cft S. Qiiure habetur tunc HixHi xH^ xH^xH^ 

 3<etc. n: I -f-;!:^ 



Series Yero altera arcuum,quorum primus eft <?, admit- 

 tit f-nfliores H(? , H 2 , H 2, H 4 , H 4 etc. iiiter quos cum 

 primiis fit H/?— X— s, et omaes reliqui geminati fuit, 

 ideo HoxH 2XH2XH4.XH4.X etc, —x^^, 



Scholium. 



Si itaque cxponens X — 5, diuifo circulo AB in f %• » 

 2X feu 12 partes aequales, du(flisque ex dato puncfto P 

 per fingula diuifionis punda recftis PBi,PB2,PB3, 

 etc. erit PB i xPB^ x PB 5 xPB-? xPBp x PBii — i 



^. Et PAxPB2xPB4.xPB(JxPB8 xPBio — 



J <v.O 



Similiter fi fit Xin^, diuifo circulo in 10. par- 

 tes, duclisque per fingula diuifionis punda redis , vt in 

 praecedenti cafti, erit PBixPB^xPB^xPB^xPBp 

 = i-i-sS et PAxPB2xPB4xPB^xPB8i^i-;:^ 



Problema i. 



ReJoJucre fra^thnem — — , in Jijnpliciorcs , cimt 



exponons n ejl nwnerus par. 



Dicatur binomium i-t-:^» — 2, flntqne Q.' ^ ^ '» 

 S- fi(f% )res eius pcr Tlicorema praecedens inuenti , crit 

 Tom VI. Dd erso 



