«?* = 



^=: 



«*=: 



I k R A T I O N A..L I B V 5, t^^ 



a — j: 



J20 + 60 X + iz X X 4-^ 

 1 20 — <So ^ + I a A .j: — a;* 



i<J8o + 840 X + 1 80 * *• 4- -o •^*' + X* 

 1680 — 840 AT 4- 180 X ;tf — ao j:' -t- a:* 



Coroll. I. 



50. Hinc ergo erit ipfe numerus e in fraiSio- 

 nibus proximis : 



f- T ? 7 ? tT J T53T » CIV.. 



quarum fradtionum hanc legem obferuari conuenit , 

 Yt fi ponatur : 



e — 1 • L • ^ • ?- • 1 etc fit 



A=:3,- B=6A+i ; C— loB+A; D-14C4-B; Em8D+C; etc. 

 fli^i ; 33i=62(+i ; €-io55+5(i Stri^C^SSi (£=1 8S4<2: j etc. 

 Ybi multiplicatores 6, 10, 14, 18, etc. funt nume- 

 ri impariter pares. 



C o r o 1 1. 2. 



51. Cum igitur fit ^^ 2,71828182845904523535 

 •videainus quam prope fradiones inuentae accedantad 

 veritatem : 



£ =: \ — 3) 0000 

 e=i '/ zz 2,714285714 

 tf = '/; =: 2, 718309859 

 ^ — 1^01=: 2,718281718 

 etc. 

 Tom.XVlIf.Nou.Comra. Y Tbi 



