614 
PToceedincfs of the Royal Society 
(13) = 2io-35-52-7 “11 *13 
(14) = 211 • 35 » 52 -72 *11 *13 
(15) = 2ii-36-53-72-ll “13 
(16) = 2i5-36-53-72-ll -13 
(17) = 215 -36 -53 -72 -11 .13. 17 
(18) = 2i'“38*53»72“ll »13“17 
(19) = 2i6-38»53 •72»11 -13 -17 -19 
(20) = 31s- 3s -54 “72 “11 -13 ‘17 *19 
(21) = 218 -39' 54 -73 . 11 • 13 *17 ' 19 
(22) = 219 • 39 • 54 • 78 ' 112 • 13 • 17 • 19 . 
As an example of tlie manner of carrying on tlie work, the com- 
putation of the coefficient of ci)-^ (that is od) in the expression for 
log sec a, is subjoined. 
Computation of term in log sec a. 
Denominators. 
Numerators, 
4©’ 
+ 27 _ . 7 
+ 2^35.52.7 .11.13 ■! 
-28 .3 
-23.3^.52.72.11.13 1 
5 
5 \ 2 j \ 6 ) 
+ 28 .3.5 
+ 23.33.6 .72.11.13 i 
+ 28 .32 
+ 23.33,52.72.11,13 j 
-219.32.5.7 
-2 .33.5 .7 .11.13 1 
12/a2y/ a^y/a^Y 
- 29 . 32 . 5 
-22.3».5 .72.11.13 1 
3 /a2\2/aio\i 
^ 3(2)-(l0/ 
+ 219. 3A 52, 7 
+ 2.3. .7.11.13 
4 /a2y /<24\3 
-219.38 
-2 .32.52.72.11.13 \ 
6/a2V/a4y/a8\i 
+ 219.38.5.7 
1 
+ 2 .32.5 ,7 .11.13 j 
