SERIESSFMMANDl VLTEKIVS PROMOTJ.xsj 



ftans f;i(flo .vn:^ ct riimmii —a-n'^ prodibit — «•* 

 / ^ n^a^ nn^a b hf^-^n^)b'\ 



§. i5, Altcni pnieterea formiila ingcntcm pracftiit 

 Vtilitatem in feriebus infinitis fummandis, quod vt cla- 



n'' tf-^' «^-+- 



rius pateat propofmi fit feries -4 ^_^^ . ^^^ 



etc. cuius fumma fit =rS. Erit ergo ^— 2,^ 



„*-H5 



et Xrr^, vnde fiet fumma S — ««(-^— _ ^^,^»!^-^-, 



—(n»— .)'*»— (n»_,)+x+ "" {i^zi^iir^ etcet.) 



Sit mmc .r=25 et ;r-=:-i feu n — ^,tnt~)^. 



ar.j'^^":».:'* ' riTT^ "^ ^'^^'■' ) 3"V— i ^ 



25- 



I ♦. 25 



3 ? 



i.is* »-:s 



^7+ ^- vrrr^ etc. ). Cum igitur in cir- 

 culo radii rr i fit arcus triginta graduum ~ :^. ( i — - 

 -H j-T»-7"T^H-p~*-^tc.), fi horum terminorum acfbi 

 1 2 addantur, erunt fequentes reliqui j-^ ( ^j^, — ^^^ -j- 



iTT^ ~ ^^*-" ) — - j"^ ( m "^ TTTF "" 7717^ — iT7r+ ~^ TJ? "H 



§. 17. Si tcrmini feriei fummandae ex fiidoribus 

 fuerint compofiti ita vt feries huiusmodi habeat formam. 



A-l-AB-|-Ai3CH hABC. . . VX 



V 3 pona- 



