378 
MR. LUBBOCK’S RESEARCHES 
[0] B 147 =- 0284942 [2] £ 149 =--019169 [6] B lbl = - *020786 
[5] B l53 = -006113 [8] B lib — — '081170 [11] B IS . = -071237 
[10] B 159 =--0033394 
Having found the coefficients of 4-, those ofare easily determined. 
a _ a _ a f . s 2 *[ 
7"r(l+7)-71 ~~2 I 
= «-! l_z!_7% 2 ,7% cos 2 £ 
r ' [ 4 4 "* 147 + 2 _S l'*7 cos ^ 1 
ry~ 2 
+ cos 2 2 / — 1— s 147 cos (2 i — 2 p) 
If the coefficients of — be called ?'n, 
If we suppose 
~ — > + r 0 + e (1 +/) cos (n (1 + k) t + e — + e^cos f n (1 + k,) t + e, — za : j 
a < we find 
_ / a 3 , a 2 7 1 7 TO, f a 3 , 5a 2 ,] 
° p. 12a/ 3,0 2 a/- 3 ’ 1 } TT {<^ 3 ’ 0 4a/ 
/,{0 +W-3r 0 )-l }= ^!6 3>2 
