Development 
of 5 R. 
14 MR. LUBBOCK’S RESEARCHES 
+ 4 { + f 4 i r ' + A '> + 4 { f , ''+ 4 x '} 453 
16.2 
+ M 
- if ‘ 65 {h' + 4 A » } + I {f rs ' -¥ a * } + I '* {h ' + 4 A ‘ } } c ° s ' '* 
r [K 
+ !;{“7^{ r/+Ai } _ Mf ri ' + 4 A ‘} + |{l r 3'+4- A 3}} ecos(# “^ 
[H 
+ ^{ + llfl{ ri ' + Al }“Tl{| r/ + T A 4 + lil{ r3 ' + ^}}«a» ( * + *) 
[103 
+ ^{ + lr{’'' , + A '} + |{|’''' + ^ i } + |{f’*' + i A >}} e ' C0S ‘' 
+ ^{-§r5{'-'W + 4{^'+W + 4{^-W}' 
[101] 
*) 
[ 102 ] 
x) 
[103] 
[104] 
cos ( t + z) 
[105] 
+ 4 {“ 4 { h ' + 4 As } } c,cos (i - 2l) + £ ’ cos (< + 2x> 
[106] [107] 
+ 4 { + I { 4 r > + 4 } - Is { 4 r ' + 4 A > } } € ' cos {t - * - 2) 
[108] 
+ ~ o {”' + A ») ~ 4 { 4 : _ 4 A >} } e e ‘ cos (< + 1 + 2) 
[109] 
+ 1; { + ? { 4 r >’ + t } “ tI { t r *' ~ i As } } e e ‘ cos ( ‘ - 1 + 2) 
[110] 
+ 4 {+ ¥4 { r > + a 4 - u{h ' + 4 x 4 } ■ (t + * ■ - z) 
[111] 
+ 4 4 { 4 r *' + 4 A * } v cos (< ~ 2 ^ + 4 4 { 4 ,s ' - 4 x> } Vco3 (( + 2i) 
[ 112 ] 
[113] 
-|fl{’'' +A ‘}} cos3< 
[116] 
* In this development of 5 R the terms multiplied by ^ y 2 s 147 are neglected. 
