372 
MR. LUBBOCK’S RESEARCHES 
4~ (2 2 in + 2 c) ^ 2 10 4" ^ L) 38 , 0 4" 2 1 10 38 0 4* 38 g 4" *2 38 4 4* f 4 38 2 4" f 8 38, } e 2 sin (2 1 -f- 2 x) 
[10] 
4~ (c - + _ m) ^ 2 **> 4* 2 1 0 38,, 4- 2 f 1X 38 0 4- * , 1^13 4" f , 38, 2 4- *2 38 5 + t 3 38 7 + t 4 '38 5 4* ts 38» 
4- v 6 ' 38 4 4- t 7 '38 3 4- t- 2 '38, + r, 3 '38,} ee,sin ( x +2) 
[ 11 ] 
4" (2 — 3 rn c) 4* 2 f 0 38, 2 4- 2 t, 2 38 0 + t, 38,, 4- t 2 38 6 + t 3 38 6 + V b 38 3 + t 6 38 2 
+ t,, 38,} ee y sin (2 < — x — z) 
[12] 
4" ^2 — m + c) ^* 13 4* 2t 0 38, 3 4" 2r, s 38 0 4- *, 38,, + t 2 38 7 + t 4 38 5 + t 5 38 4 
+ r 7 ' 38 2 4- r,,'38,} ee ( sin(2 t + x + z) 
[ 13 ] 
+ ( c -m) ^ 2 1 ’ 14 ' 4- 2 r 0 ' 38, 4 4 - 2 r, 4 ' 38 0 + r,' 38, 6 4- r,' 38, 5 4- r s ' 38 5 4- 1 3 ' 38 c 4- r 4 ' 38 7 4- v b 38„ 
4- r 6 ' 38 3 + t 7 ' 3*4 4- Us' 38, 4- r, 6 ' 38, } e e, sin (r — z) 
[14] 
4- (2 _ 1 _T) ( 2 v 15 ' 4 - 2 r 0 ' » 1S 4- 2r,3 0 4- U 38, 4 4- r 2 ' 38 7 + v 3 ' 38 s + r 5 ' 38 3 4- v 7 ' 38 2 
4- Vn' 38,}ee,sin (2«-* + z) 
[ 15 ] 
4" ^2 3 m + c) ^ 2 ^‘ 6 4" 2 r o 38-16 4" 2 t, 6 38 0 4~ v‘i 38, 4 4- v 2 38g + v 4 '38;, 4- t b 38 4 4- *6 38» 
4- v 14 ' 38,} ee^in (2 t 4- x 4- z) 
[ 16 ] 
+ 2m ^ 2r ‘ 7 ' 4- 2r o'38, 7 4- 2r, 7 '38 0 4- r,' 38, „ 4- v,'38, 8 + r 5 '38 5 4- r 6 ' 38 7 4- f 7 '38 6 4- r 18 '3R, 
4- tia'38,} e, 2 sin 2 z 
[17] 
+ (2-4 m) ^ 2 r ' 8 ' 4- 2 ^o' 38 l8 4- 2 r, 8 '38 0 4- r,' 38 l7 4- v b 38 6 4- v 6 ' 38„ 4- r, 7 ' 38,} e* sin {2t-2z) 
[ 18 ] 
4" "2" i 2r is 4* 2 r 0 38 , ij 4- 2 38 0 4" ** 38 , 7 4- v 5 38 7 4- r 7 38., 4- v, 7 38, } e, 2 sin (2 1 + 2 z) 
[19] 
. 1 r 
4" \ _ m {2r 101 4- 2r 0 38, 0 , 4- 2 r l0 ,' 38 0 4- 1, 38, 0 , 4- e 2 v 2 38, 02 4- e 2 v 2 38 , 03 4- e 2 r 3 38, 02 
4- e 2 r ,' 38,03 4- e, 2 r 5 38, 04 4- e, 2 r b 38, 0i 4- r, 01 38, } sin t 
[ 101 ] 
