296 
ME. LUBBOCK’S RESEARCHES 
+ e. cos (re t — 2 re, t + vs.) 
2 a,- 
v r % ci i , ( l + 2 j) a 2 , 
-|+ + + 1 }*“•(* + »<-») 
, ~ f 3(1 + *) a j . ia . 
+ k 3„ + i } «/ cos 
m, re 2 f 2re . 1 ) a 2 , 0 , . . 
/x (3 re — »,) (re — re,) 1 2 n — re, 2 / a/ 2 ' 
3 re 3 
/x 2 (re — re,) (re + re ( ) a, 
e cos (re, t — vs) 
, rei, re 2 f 2 re . , 1 a 2 , , 0 . , , 
+ — — r < ^ — + l c — e, cos (re t — 2 re, t + rer.) 
/x re, (2re — 2w,) \ (re — 2re,) / a, 2 
+ 2 
-v f 3 (i (re — re,) + re ^ 
\ ' ~2 re 2 
2r^* 
+ ^2 
(re — re,) + 2re 
mj 2(1 + i) re / a 2 ^ a?_ , 3a 2 , 1 
/x (_i(re — re,) + re L 4 a, 2 3 >* ~ 1 2 a, 3 3 >* 4 a, 2 3 >* + 1 / 
i a 2 7 ( 1 + 2 i) a 3 , 3 i a- , 1 I / . . - , 
~ 4 V &3 >i ~ l + 2 ~ T a} b s>i + l J j fiC0S (* (K *“"'*)+» 
J 3fl2 / 
v 1 4 a ( 2 ° 3 >* — 1 
X = 
^ (l -i) (re-re,) ^(i+ 1) (re-re,) + 2re,^V( w n i) + n 
— — t . — gg ^ . 1 _ 3 ( 1 + *) f! £ . 
2a, 3 >* 4a, 2 3 >*+ 1 J 4 a, 2 3,1 ~ 1 
+ ~ b 3,i + ' 4 S,, +,} C .COS (. (nt-n,t) + n, 
( s* + M f! e sin , - W ) 
1 2 re,- re, (re— re,) /x j a, 2 v ' 
/ ” 2 , re 2 \ rei, a 2 . /0 . 
l (2 re — re ) 2 (2 re — re )(re — ra,)J /x a 2 v 
t — vs, 
2 n 2 ?re, a 2 . , . . 
J — e, sin (ret — 2 re, £ + rer ( ) 
(re — 2 re,) 2 fx a, 2 
* r. being the coefficient of cos (re t — re, t )^ in the expression for — . 
