Motion of a Viscous Incompressible Fluid. 333 



the only difference being the change from D to — D' and 

 the reversal of sign in tt/6, equivalent to the introduction of 

 a constant (complex) factor. 



Table I, 



V- 



s r 



t r 



s 2 . 



t 2 . 



00 



+ 1-0000 



- -oooo 



+ -oooo 



+ -oooo 



o-i 



4- 1-0000 



- -0015 



+ -oooi 



+ -1000 



02 



+ 1-0000 



- -0120 



+ -0012 



+ -2000 



03 



+ -9997 



- -0405 



+ -0061 



+ -3000 



04 



+ -9982 



- -0960 



+ -0192 



+ -3997 



0-5 



+ -9930 



- -1874 



+ -0469 



+ -4987 



06 



+ -9790 



- -3231 



+ -0971 



+ -5955 



07 



4- -9393 



- -5485 



+ -1909 



+ -0845 



0-8 



+ '8825 



- -7605 



+ -3055 



+ -7663 



0-9 



+ -7619 



- 1-0717 



+ -4805 



+ -8234 



10 



+ -554 



- 1-444 



+ -734 



+ -840 



11 



+ '215 



- 2-007 



+ 1057 



-t- -790 



1-2 



- -310 



- 2-304 



+ 1-456 



+ -034 



1-3 



- 1-083 



- 2-707 



4- 1-923 



+ -320 



14 



- 2-173 



- 2-979 



+ 2-424 



- -221 



1-5 



- 3-635 



- 2-972 



+ 2-893 



- 1-007 



1-6 



- 5-493 



- 2-460 



+ 3-212 



- 2-303 



17 



- 7-094 



- rioi 



+ 3-191 



- 3-998 



1-8 



-10057 



+ 1-325 



4- 2-550 



- 173 



1-9 



-12-177 



+ 5-441 



+ -899 



- 8-745 



20 



-13-330 



+ 11028 



— 2252 



-11-447 



21 



- 12-34 



+2019 



- 7*46 



-1370 



2*2 



- 749 



+31-01 



-15-24 



-14-50 



23 



+ 3-54 



+43-20 



-25-84 



— 12*22 



2-4 



+23-55 



+54-54 



-38-90 



- 4-53 



2-5 



+55-20 



+ 00-44 



- 52-70 



+ 11-59 



When n exceeds 2*5, the second term of the series within 

 { } in 2i is less than 10~ a , so that for rough purposes the { } 

 may be omitted altogether. We then have 



' 3 ' 2 cos (^2.^-77/24), 





3/2 



3/2 



V2.,j 



3 2 



3 2 



s a =DV** * sin(v/2.i7 -7r/24-77/6) : 



t 2 = D' v -?e 



V2.,, 



3/2 



COS ( yj'l . 7) — IT i 24 — 77/6) . 



(21) 

 (22) 



(23) 

 (24) 



Here D and D' are both positive — the logarithms have 

 already been given — and we see that s u t 2 are somewhat 

 approximately in the same phase, and t u s 2 in approximately 

 opposite phases. When tj exceeds a small integer, the 



