140 OBSERVATIONES 



ideoque P n: y(i -2 6a_j-(6 6 — ^ac)^»)* 



Quocirca feriei noftrae P, Q_, R, S . . . Z termi- 

 nus generalis eft: 



n 



t— I ^ / i-^z-V(i--te-f-''66-»ae^z z)\ 



^ V(i — 26 z-)-( 66— .^ac) z z) ( 2 a c z. z -'' 



Poftto ergo/— I vt fit j^ — s, fi omies poteftates 

 trinomii a-\-hz-\-czz euoluantur , ieries termino- 



rum intermediorum x-^-bz-^-^iac-^bh^zz tx.z^ 

 erit == P "• 



terminorum autem a mediis , n locis in anteceden- 

 tia remotorum fumma eft — «"Z, totidem vero 

 locis in confequentla reniotorum fumma zr i^^^i^Z, 

 At omnium harum ferierum iundim fumtarum 



fumma eft — ,_„_l6^_^ — . 



C o f ol I. 1. 



10 Quantitates ergo P, Q^, R, S etc. pro- 

 greftionem geometricam conftituunt , cuius primus 



terminus eft ^ ^^u -~^h%'^\pb-~^T^)y et deno- 

 minator progreflionis : 



1— 6z — V(i — 2&z-»-(6^ — i,ac) zi^ 

 I a c za ' 



C o r o 1 1. 12. 



21. Si fumamus azz.ij bzz.i et ci^i, pro- 

 dir cafus ante traftatus quo poteftates trinomii 



i-\-z 



