(207) 



B-4-e-f-D = i-f-| + |-i-+-i-f-|-4-J-|-4- etc. = ; 4^ 

 confequenter D rz: /4 — (B -t- C). Supra autem vidimus efl*© 

 B-f-Crr/3, ergo Dn:/|, hoc eft 



H i 1 — -H -2 — -h etc. = 7 1. 



Sn-i-i 3n-i-fi 3n-t-3 3 ^i ■ . , 



Q. E. D. 



Scholion. 



§. 6, Quod fi cui fufpeda videatur haec demonftran- 

 di methodus, ideo quod, ne tanto terminorum numero opus 

 lit, loco vnitatis in fingulis numeratoribus poteftates quantita- 

 tis arbitrariae x in calculum introduximus, dum fciJicet locp 

 progreflionis A fuccefliue fcripfimus: 



• • • • — ' ^ 



n 





?i 



quo hic procedendi modus magis exph'cetur, fimulquc omne 

 dubium tollatur, theoremaris demonftrationem fequenti modo, 

 fine fubfidio litterae x inftituemus. 



Alia demonftratio Theorematis I. 



A T __^I 1 I I I 



J^ — ■•• — 5 — 5 ^ s • * • * S" 



B = i-|-f-|-^-t-|-^-H^-i-+-|-x^-4-etc.-/2' 

 ita vt flatim habeamus B— /j, 



A-f-B-HC=i-f-i-f-^-+-',-H.J-f-i-f-^-hJ-hi-f-,»5-+- 3L 



, A T t T I 



■^ • * I 2 3 • • • • n 



B-+-C — 1-^3- g-+-4-t-5— |-+-^-t-j — ;H^jo-4-etc. = /3 ' 



hinc- 



