is DEMON STRJTIO 



ctc. difTcrentbe quirtiie erimt vel 4-* -4. 3* -f- <^- 2*— 4. i*; 

 vel 5*-4. 4* 4- 5. 3*-4. 2* 4- 1. 1*- At efl: 4*— 4. 3* 

 -^ (5.2*- 4.1* rr 4 (4'-3-S'-i- 3-^'- i-t') 

 = 4 3. 2. I. 



§. 14. Quo hic progiieflus melius perfpiciatur^ 

 fint feriei i, 2"", 3"*, 4™, 5"* etc, difFerentiae ordinis 

 m = ? ; feriei i ;. 2™"+-; 3™"^^ i +"'*^' i 5""'"^" etc. 

 difFerentiae ordinis ;« -f- i :zr Q. erit P — (/« + i )** 



Q_r=:f f» + I ) "^'-(/«-h i ) w'^"'+(^±:^ (?« - I ) "-^^ 



_(m-H,]m(7n-.) (^ _ j ) m^-i _j_ gfj,_ 'yjj| p gx forma 



pofteriori, at Q^ ex forma priori expreflimus. Hic prii- 



mo patet, in vtraque expreflione parem efle termino- 



rum numeium , et llagulos terminos expreffionis P eflb 



ad fingulos terminos expreflionis Q_, vti i ad m 4- i.r 



Namque efl: 



(w-f-i)™: (;«-{-i)'"-^' — r : ra+i; 



m. w'" : (m-{~ i)m "'-'-'n: i : w/-h i ; 



W^r— ■K'7i-.)/-„^_gsm. *(ii±:iW!:!=L) f„/_ 2 )»"-*-■ — I : m-\-t\. 



etc. 

 Hanc ob rem crit P : Q^ zr i ; w -V- i, ideoque; 

 Q_=:(?;i-M)P. 



§. 15. Hinc crgo patef fore 



feriei Differentias 



^\ ^\ ^\ 4; 5 

 «, 2'; 3'; 4'; 5' 



