MIRIKICI LOGABITHMORUM OANONIS CONSTBUCTIO. 

 Tafel III. 



79 



Kolom 1 . 



10000000.0000 

 9995000.0000 

 9990002.5000 



9900473.5780 



Kolom 3. 



9801000.0000 

 9796099.5000 



9791201.4503 



9703454.1539 



Kolom 2. 



9900000.0000 

 9895050.0000 

 9890102. 1.750 



9801468.8423 



kolom 69. 



5048858.8900 

 5046334.4605 

 504381 I .2932 



1998609.403 1 



Napier benadert vervolgens de logarithmen van de getallen in 

 de verschillende tafels; aldus: 



1) Stelt men in form. (2) u = 9999999, d. i. do 2' 1 " term van 

 tafel I, dan vindt men: 



1 < Nap log 9999999 < 1.00000010000001 ... *). 



') Uit form. (1) (p. 29) volgt, daar : 



{— 1< .T < + 1 } 



*• + • 



Nap log 9999999 = — 10' log (1 — KT') 



= l + y.l0~' + g -10-"+ j -I" 



= 1 .00000 00500 (M )üic! 33333 35833 

 33353 33333 5000000142 85715 



en, daar: 



e-'' : 



1 + 1 + 1 . 2 + 1 . '.' . :i + 1 . 2 . ;i . 1 + ' 



mmi Nap log 1 — 10 7 



= 10' — 1 + -V.10-'— l .10-"+ ... 

 2 <> 



= 9999999 . 0000000499 99998 33333 337 11» 



99999 16666 66805 555553571 I 



