Development 
of 5 R. 
16 
MR. LUBBOCK’S RESEARCHES 
+ {+ + ff e2 { r s'-*j} - ^y 2 Si 4 v} e / c o s ( 4 *- 2 ) 
[134] 
+ {~^{ 7 ' 1, " Al }~^{ r3 '” A3 }“^ 72Sl47 } e ' C ° S (4 ' + 2) 
[ 135 ] 
+ { -U {r/ — Xj } — ^ { r 3 f — A 3 - f|y°- s i 4 7 j e°-cos(4t - 2 x) 
[136] 
+ { + ^»7+ |5{r 4 ' — x 4 } ~ -|- S 147 j* e °- cos (4 i + 2a?) 
[137] 
+ i — ^ { r ‘ ,_ X '} _ ^ 3 } yf “X 2 S 147 J* ee /COS (4 t — X — Z) 
[ 138 ] 
+ j- 37 { r ‘ , "' Xl } ~ ^{ r+,-A4 } + ll 7 ’* 147 } ee / cos ( 4i + x + z ) 
[ 139 ] 
+ { + || } - 7^ <jV-A 3 } - y 2 S 14 7 1 e e i C0S (4 i - ^ + z) 
[HO] 
■ + *- 
[HI] 
+ { + H{ r ‘ ,-Xi } + 27 iy-* 4 } ~ i^ r3si47 } ee ' c ° s ( - At + *~ z) 
+ i + -^j- | r \ — J" Jg y°" 5 147 1 e L~ cos (4 t 2 z) 
[H2] 
h .dR = the differential of h R, supposing only n t variable 
• + 
i* m. a 2 f . 2 . 68 . 2.38 
or 2.38 , 
2 r.' e 
t ' p z r „ 
137 1 77 77 
■ r ‘-™ 7 e d r '- > '‘}-' 4 e ‘{ r ‘ ,+ > -’} 
3.32 „ , , 32 
+ ^ e f r * + <7 r ' ~ 
+ 1 - 
43 
2.20 
27 
43 
2.102 
137 
y 9 s 147 [ sin 2 t 
[1] 
r l + j - 
+ a ;r-{ 
r 3 ' + A. 
jW + A 3 
} + 27 {’* + *\ 
} + 2 i e ‘ r > 
- 2 -2e 
27 1 
2r.'. 
2.3 0 
~T 7 ' Sl47 
O Q 
--g- 7 ' * 147 psintf 
[ 2 ] 
* m = — as in the notation of M. Damoiseau. 
