Development 
of 5 R- 
16 
MR. LUBBOCK’S RESEARCHES 
+ {+ { r 3 f — ^3 - ^ 7**147 } e i COS ( 4 <-2 
[134] 
+ {~^{ r/ - A1 }~^{ r3 ' _A3 } _ n 72sw } e ' cos (4t+z) 
[135] 
+ { + if _ if{ r3,_As }~ rl y2Si47 } e2cos(4 * _2 ^ 
[136] 
+ j + - Jr^j e °’ c o s (4t + 2x) 
[137] 
+ { _ ^ { 7 ' / ~ X, l + ^{ r3,_A3 } + lf r2Sl47 } ee/C ° S { - At ~ x ~ z) 
[138] 
+ {- ~ |r 4 '-X 4 j + ^y a s w} ee ( eos (4 t + x + z) 
[139] 
+ |+ x >} “ ^{ r 3 '-*s} “ jjjT 8 *!*?} ee lC os(4t-x + z) 
[140] 
+ | 32 { r ‘' ~ A * j” 27 — A+ } ~ Yg 7 s s i 47 J* e e i cos (4 t + x — 2 ) 
+ "l + ~^T { r ‘ f ~ A * j’ ~~ Jg y~ S 147 j* e r C0S (4 t — 2 2 ) 
[141] 
[142] 
0 . d R = the differential of l R, supposing only n t variable 
• + 
m * m t a 2 
{ + if r ’ - tt eV " 2 ~fr eW -1 e ' 8 {'•'**} ~'i e ‘ {'•'+ *•} 
j- sii 
3.32 0 , , 32 
2.102 
43^ 6 7-0 + 43 G ‘ T 137 
y- s 147 [ sin 2 t 
[1] 
r \ + 1 
2.38 f 
17 l 
r/ + A,} 
+‘;M 
r i + a 
| rj + A 3 
{ r *' +A *. 
} +2 S‘’ r ‘ 
_2J> e , 
2 7 1 
s r 1 
1 T = 
2.3 
7' S 147 
-^F yS * 147 J' esm * 
[ 2 ] 
* m = — as in the notation of M. Damoiseau. 
n 
