?48 BE PARTITIOXE 



Series crgo (£ cx fcrie 33 ruisi^iic terminis antcccdcnti- 

 biis fcqucnti modo facile fbrmatur. Omittnnnb autcm 

 potedatcs ipfius x , quia totum ncgotium in cocfficicnti- 

 bus verfatur: 



V>~ >-Hi-t-3-»-J-+-i-t-i-f-»-f->-t-;-+-s-f-«-+-«-f- etc 



'-f-iH f- -f---f-;-f-— I f-'o 



C ~ '-f-i-f-:-f-;-+-»-f-5-f-7-+- = -f-''^-f-':-*-'4-»-i«-»- i-lC' 



Scilicet feriei 23 (ublcribatur fcrics (£ ^ initium fub tcrmi- 

 no qn.irto flicicndo , et pro \ti Iuk modo fcnc-, (£ per 

 additioncm oritur , ita quoque fub fcric 23 contmuabitur. 



§.32. Qiiiii dcinde e(l <D = (7^:3o[r.zl5j(- 



3c»Xi-x«) 



erit 



S(«)-3(,) 



^ — (i-AT*)©. Vnde limilimodo, quo hadcnus fu- 

 mus vfi , reperietur : 



j(4)__j(j) ^(O— ^fj)_4_i ^{,)—j{s)^^u) 



5(*)— 5(i)_^_'iC) 8^*'rr:8^'^-|-4-^*' 



ct gcneraliter n^*^— «^''-|-(«— 4)^*^ 



Pari modo vltcrius progredicndo colligctur fore : 

 „(5) — „(0_|_(„_5)(=) 

 „W— „(i)_|.(„_6)(6) 



„(,)__„(6)_|_(„_^j(r) 



ctc. 

 Gcncratim crgo hinc colligctur forc : 



^(m)_-„(m-0_^(„_;,,)(m) 



Vbi notatidum c(\ , fi fucrit « <^ w , tum tcrminum (n-tfi)'^'' 

 prorfus euancfccre , fm autcm fit n — niy ctiamfi fit 

 n—m — Oy tamcn tcrminum (w-w;)'"'' valcre vnitatcm. 

 Dcindc fi fit n — tn—i , quot]uc crit {n — m}'"^—i. 



Erit 



