DE PROGRESSIQNIEVS TRANSCEND. 45 



ex circulo , cuius diameter - 1, fit peripheria. 

 eius circuli p, erit area zzz-^p, adeoque Jdx V-lx 

 dat iVp. Dei,Hle/«^/^--t-V(^.vx) 

 ^" e ^ j~2 ix-xx dxt arcum circuli , cuius finus verfus 

 e(t x. Pofito itaque x__:i , proueniet -jp.Quam- 

 obrem terminus quaefitus erit z~z.V ~. 



§. iS. Cum progreflionis, cuius terminus 



ordine n indicatur per (f-hg)(f-r-2g)~ (f-t-vg)t 



, ^ r g n + l fdx(-lx)~- 

 terminus generahs per S. 16. lit f 



(fMn-±i)g)JxIdx(i-xf 



fimiliter fi terminus ordine n fuerit (b-\-k)(h-\- 2k) 



(b-\-nk) , erit terminus generalis 



k^^fdx^-lxy ^. ., 

 - 1 . Diuidatur llla pro- 



(b-[-(n-\- 1 )k)fx kdx(i-x) n 



greffio per hanc , nempe terminus primns per 



pr4mum,fecundas per fecundum et itaporro:de- 



venietur ad nduam progreffionem, cuius termi- 



nus ordine n erit &5$^ Y/.\'j£& Et ter- 



minus generalis huius progreflionis ex illis duo- 



k 



. g n - i - x (b-t-(n-\-i)kYx 7r Jx(--x) n 

 bus compofitus ent j 



£*-+- • (/_i_(»_t- 1 )g)fxldx( 1 -x)* 



Qui vacuus eft ab integrali logarithmico fdx 



(-lXj\ 



§. 19. In omnibus huiusmodi terminis gene- 

 ralibus hoc rnaxime notandum eft , non qui- 

 Tom. V. G dem 



