OP A CIRCLE TO ITS CIRCUMFERENCE TO 208 PLACES OP FIGURES. 283 



independent computations of others, 

 from the formula 



The value of v which I have thus obtained 



= 4 tan""* T — tan" 



T = 3-14159 

 69399 

 86280 

 09384 

 20386 

 80651 



4 



26535 

 37510 

 34825 

 46095 

 33830 

 744 



yy-htan gg, 



IS 



89793 

 58209 

 34211 

 50582 

 21574 



23846 

 74944 

 70679 

 23172 

 73996 



26433 

 59230 

 82148 

 53594 

 00825 



83279 

 78164 

 08651 

 08128 

 93125 



50288 

 06286 

 32823 

 48473 

 91294 



41971 

 20899 

 06647 

 78139 

 01832 



which, it is presumed, is accurate to the last, or 208th place of decimals inclusive, the 

 computations having been carried as far as 210 places of figures. 



Royal Military Academy, 

 April 16, 1841. 



* The suspicion about the figure in the 113th place of decimals is now completely removed. I find it to 

 be 8, instead of 7 as it is frequently printed, agreeing with the result as given by Vega, and also with that in 

 the Oxford Manuscript. 



MDCCCXLI. 



2 P 



