i34 EE FRACTIONIBVS CONTINVIS. 



§. 3*2. Si hae fratftiones vlterius continuentur faclfe 

 cibferuabitur lex, qua formatae funt; cx eaque conclude- 

 tur fractionem infinitefimam poft numeratoris et denomi- 

 natoris diuifionem pex primum denominatoris terminum 

 foxe 



* -+- 1 ~ k7-)r~i(i-i-ntf r Zs~l~'i.--z-i (i- +-n) C~l->n n>gS •+ - etC 



I •+- rl ( 1 ^ajna 5 "+"i.»(i-+-n)(i-4-2n)« z a 4 » t.2.3(i-+-/i > (i-i-2n)(i-t-37i>n^a« 



*fc 



cui adeo j aequatur. Pofito ergo azz ~ z erit .fr^» 



1 "+" 777 "+~ 1.21 (-f-n) ^" 1. 2.3. i{i •+-»)( 1-4-211J "+~ etCe 



1 *+" lii-wo"" 1 i.*.-i(i-*-*)(i-t-2*)"**" i.2..(iH-«)li-l-2ftAi-4-^)"~r- e tC 8 



qui vaior quo obtineatur , ponatur 



t~i -+" ~7~ *+" ~T77rr7jr7fT"+" ,.2.3.1 d-Hnjd-hTtl f-etc 



__ z^ . z* 



et U — -I ■+~,i I ^R)-T - ,. 2 ( l ^-jiX 1 ^-2tt)""« - ».z.3(i^-rt)(i-+-2,n)(i-f. 3 .»3 



-+- etc. 



ita vt futurum fit szz^j % . Ex infpectione autem ha- 

 rum duarum ferierum intelligitur tore d*7 — «//s; atque 

 fimili modo deprehendetur eife udz-\-nduzzitdz. Po- 



natur tzzzvu, quo fit j -z; ^ , erit vdu-\- u dv zzz i ~ ; 

 atque udz-\- n z du zzz v dz ; ex quibus fequitur ~ zzz 

 - *~ y ~ r_ ^j- - , hincque fequens aequatio inter 3 ec 

 tantum confi fte ns nzdv — dz -+- ^ 2 dzzznzdz\ quac 



fubftituto vzzzz n q z\ zzzr*, abibit in hanc 

 <?# -+- # 2 <// -: ff/ 1 "" 2 <//\ 



Es 



