372 
MR. LUBBOCK’S RESEARCHES 
+ (2 — 2 w+ ~ 2 c) (21 10 ' + 21 0 » 10 + 2tw'lfto +1,'+*3, +*«'3a.} e 2 sin(2 < + 2 s) 
[ 10 ] 
+ {2t M ' + 2 1 0 2ftn + 2r,,'3ft 0 + t,' 1 &, 3 + t,' 3ft , 2 + t 2 3ft 5 + r 3 2ft 7 + t 4 '3ft 5 + t 5 ' 
+ fg 2ft 4 + f 7 3ft 3 + t' 2 3ftj + f, 3 3ft, } e e i S* n (% + z ) 
[ 11 ] 
+ (2 _ 3 \ n ~- c ) { 2 t ia ' + 2 r 0 2ft, 2 + 2 r 12 '3a 0 + r,'3ft„ + 1 ;m 6 +*;+ *»' 3ft 9 +1 6 '3&* 
+ r n 3£v,} e e, sin (2 t — x — z) 
[ 12 ] 
(2 _m + c) ^ 2 ^ 1S + 2t 0 3ft , 3 + 2 r 13 2ft 0 + 3K-n + t 2 2ft 7 + *4 2£v s + t 3 3ft 4 
+ x' 3ft 2 + r u '2ft,} e^sin (2 t + x + z) 
[13] 
+ ( C -m) { 2v h + 2r 0 '3ft , 4 + 2r, 4 '3ft 0 + r,'3ft , 6 + r,'3ft 15 + v 2 3ft s + r 3 '3ftc + r 4 '2ft 7 + r 3 3R 2 
+ r 6 ' 3ft 3 + v 7 ' 3ft 4 + r 15 ' 3ft, + r 16 ' 3ft,} e e, sin (x — 2 ) 
[14] 
+ (2 - m - 7 ) ^ 2r >^' + 2 *o'&, s + 2 r i 3 o + v.' 3 ft , 4 + r 2 ' 3 ft- + *s' 3 ft 5 + r 5 ' 3 ft 3 + v 7 ' 3 ft 2 
+ Li' 3ft,} ee, sin (2 * — x + z) 
[15] 
+ ( 2 — 3 m+7 ) ^ 2r > 6 ' + 2r o'^>6 + 2r, 6 '3ft 0 + r, 3ft 14 + v 2 '3ft 6 + v 4 '2ft 5 + L,' 3ft 4 + v 6 '3ft 2 
+ r I4 ' 3ft,} ee ( sin (2 t + x+ 2 ) 
[16] 
+ 2 ^ {2 r, 7 ' + 2r 0 '3ft 17 + 2tr 17 '3ft 0 + v,'3ft , 9 + r,'3ft , 8 + r 5 '3ft 5 + r 6 '3ft 7 + r 7 '3ft 6 + r, B v 2ft t 
+ r, 9 '3ft,} e ( 2 sin 2 2 
[17] 
+ (2 4 m ) ^ 2 r ‘s' + 2 r 0 ' 3ft , 8 + 2 r, 8 '3ft 0 + r,' 3ft , 7 + r 6 ' 3ft 6 + r 6 ' 3ft 5 + r 17 ' 3ft,} e , 2 sin (2t — 2z) 
[18] 
’ 2 ^ 2r * 9 "l" 2 r ° + 2r, 9 3ft 0 + r,' 3ft, 7 + v 5 '3ft 7 + r 7 ' 3ft 5 + v, 7 3ft,} e, 2 sin (2 1 + 2 2 ) 
[19] 
^ 1 _ Wl {2 r, 0 , + 2r 0 ' 3ft,o, + 2 r, 0 ,' 3ft 0 + r,'2ft, 0 ,' + e 2 f 2 ' 3ft, 02 4 - e 2 v,, 3ft, 03 + e 2 r s 3ft, 02 
+ e 2 v 4 3ft ,03 + e,- x 3 3ft,o 4 + c,‘ 3ft, 0 5 + r,oi 3ft,} sin t 
[ 101 ] 
