SFMMANDI PROCRESSIONES. i^ 



cfl, tot femper in aeqnatione refnltantc figna intcgra- 

 lia fibi inuicem eile iiindra quot funt fiKftores, quibus 

 fequens quisque tcrminus augetur. Itaprogrcflionis(cc-j-g) 

 x-\ -+- (a-4-§j («(3«-^ j -I- S) -v" lumma 



s determiniibitur ex hac aequationci v j^ i^_ ^dx 



g^^,=r:j-(a-|-§) (a(3;/-:i) -4- g)x^ Ex qua, 



vt indudio ad fequentes cafus fieri poflit , notandum eft, , 



j-jgZ:^ efl^ terminum progrcflionis propofitae ante pri- 



mum feu eum cuius indcx eft o. Si tadores qui in 



potentias ipflus x ducuntur non confliniant progreflio- 



nem aritiimeticam , i(;d aliam algebraicam altioris or- 



dinis, opcratio fimiliter debet inflirui ; \t flt progrcf- 



fio propofita (a-i-§) (y-H<^).vH h(aH-6;(2a '- • 



-j-g) (an-i-^){y-\-$){2y-\-S) (y!l-^§}x'' 



\ ■ r ■.^r-Kj p(a-\-^){y-\-S)x'^-^^ 

 ponatur huius fumma j, ent pj x^ sax—- '±1—! — i_ 



7r-i-2. 



, p(cc-\-^) (a?j-\-^)(Y-h$) (nx;f_f-^\v«-t-'^-»-> 



— r' 1— • ' 



— ?=3'. Ergo JlZylilZ— (a-\-^jxy~ 



n-f-5' 



y 



Ponatur /)y;7-f-p(5~ — ;?-|-7r-l- I ; erit j5—:^; et tt 



v__ 



r 



(a4_g) (a;2-l-g) (y^^) (y(n-i)-\-§)x 



Forro erit PJ^-^dxJ^-^ s^x ^ypia-^ ^)x'^^- 



y §--\-iy-\--r:y 



_i y_y p g+-g ) - ---COT-4-e)(Y -t-y) - --.7-,i— r;-t-5-)x y 



Fiat pv.yn-\-p%y^yn-\-'Ky-\-^-\-y., erit /» — 



