= (70 = 



I . n (n -^ a. — t') («-4-2ct — ^)k 



I I. 2. 3 ^ a' 



\ x(«-)-3a — ^) [«-^0' — 0« — ^]- 



Vcluti fi forma propofita fiierit B^C% erit / — 5, hincque 

 j^ _ .i-"-3.4. s — 10 deinde \ero erit ^ — 3j3-(-2v, ficque 



ipfe terminus huius formae erit 



liilil «(«-+-a — 3/3 — 2 v^; C« -•- 2 a — 3 ^ — 2 v) x 

 /v x(«-H3a— 3P — 2y)(«H-4.a— 3p — 2y), 



prorfus vt fupra cft cxhibitus. 



Scliolion. 



§. 26. lHnc iiim abunde patet, C\ aequntio propofita ' 

 pluribus adhuc conftct term.inis, habcatquc hanc formam: 

 I B . C . D . E 



Z^ Z^ ■ Z^ ' Z^ ' 7J ' 



tnm ope ciusdcm methodi fcriem infinitam inuefligari poffe, 

 quae \alorem potcftatis 7J^ cxprimat; irta enim fcries incipicns 

 ab vnitate infinitos inuoluct tcrminos ex omnibus plane com,- 

 binationibus Httcrnrum B, C, D, E, etc. formatos. Si enim 

 in gcncre proponatnr haec comibinatio: B*. C^. D'^. E'. etc. fta- 

 tuatur primo b -\- c -\- d -\- e — i ^ et quacratur numcrus N, 

 yt fit 



N — 



I. I. 3- 4- 



3lt ■""" I. i. 3. . . . 6. 1. c. 3. . . c. 1. 1. 3. . . . d. I. I. 3. . . <". ' 



fitquc breuitatis gratia i. 2. 3. 4. i — ^-) fn-^^or prior 



N B^ C D'^ F/ 



huius termini erit '-—J '■ — -^, practcrca vcro adiungcndi 



1. a' 



funt fncflorcs exponentcm n inuohientcs , pro quibus inucni- 



endis ftatuntur: » • . 



ba-\-cy-A-dZ-\-et — ^^ 



*a VL cruut- 



