OF A CIRCLE TO ITS CIRCUMFERENCE TO 208 PLACES OF FIGURES. 283 
independent computations of others. The value of % which I have thus obtained 
from the formula 
T = 4 tan " 1 } - tan - 1 ^3 + tan -1 is 
3-14159 
26535 
89793 
23846 
26433 
83279 
50288 
41971 
69399 
37510 
58209 
74944 
59230 
78164 
06286 
20899 
86280 
34825 
34211 
70679 
82148 
08651 
32823 
06647 
09384 
46095 
50582 
23172 
53594 
08128 
48473 
78139 
20386 
33830 
21574 
73996 
00825 
93125 
91294 
01832 
80651 744 
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. 
2 p 
MDCCCXLI. 
