DE PROGRESSIONIBFS HJRMONICIS. i6i 



_|- ^- -4_ ^-i etc. et ~ 'i- 'f^ -f- ^ etc. fado .v — i . II- 

 liusautem fuiTiina ert /7:^, huius vero rumma eft /.-l^»" 



r 1 '■ i i 11.? 1 „ I \ 1 V-j /jx-(-i — V — T V— 3/1 — V— I 



feu /,^-l-^/Cv -4-A'H- i)-f--r ^^-(— «-V-. — r\-HV-^- 

 Hac igitur ab illa rubtracfta tiKfloque a^— i prodibic — i/3 



-I- ^ l '^iZl - ~ ^i^^fef > Pf" (iiinma progreffionis 

 propofitac. Ert vero -^" ^ \—^—] peripheria circuli di- 

 uifa per V3 pofito diametro ir i et ^F"' /,^^^ huius 

 dimidium. Quarc feriei fumma quam proxime erit 

 o,357^- 



§. 18. At fi etiam ipfa inembra non vnifbrmiter 

 incedunt difficilius (uinma aflignatur. Sumamus hanc 

 feriem i -i_f-i_|-i_ ^_l-^-l-'_|- ^_^^_.^_^ . '__!_... 

 •+/3 — 15 etc. Haec eft differentia inter has feries i -f- 



/-4-1 ..._.' 

 - .;,_(- --- ita in innnitum continuatas, vt extre- 



mi termini eundem habeant denominatorem /('-^-).Ha- 

 rum ferierum prioris fumma eft CH-//-f-/(/-f-3 ) — /2, 

 denotante C conftantein §. 1 1 . inuentam,nempe o, 57771 8. 

 Altera feries fubtrahenda in has duas refohiitur ;(i-f- 



^H-I-I-^ ?)et i(i-hM-^ ^ir)- ' lllius 



fuinma efl: |C-l-|//; huius vero ^C — vH-|/(i-l-3). 

 Quac ambae ab ilia fumma C-f-//-f-/(/-f- 3 ) — /2 

 fubtraiftae rehnquunt — C -f- y — / 2 feii i , 173078 quam 

 proxime pro fumma ferici propofitae. 



Tom. FIL .X Da- 



