IN THE MOTIONS OF THE EARTH AND VENUS. 
83 
k — 10 . 
m 
x { - ^ «y» + ^ (M) - 5 -T (0,1) - w cw» 
+ d (1>1) - TjT (<W) + ijg (3,0) - (2,1) + || (1,2) 
+ 
192 ( 3jl ) ~ 64 ( 2 ’ 2 ^ 384 ( 3 ’ 2 ) j” ^ 
( 10 ) 
i 
e' 3 e 2 
( 10 ) 
(L . e' 3 e 2 ) 
& = 11 . 
52283 
* X { ^ (0,0) - (1,0) + ^ ( o,l) + (2,0) 
- ^ (M) + ^ (0,2) +i(2,l)-^ (1,2) + |g (0,3) 
+ 32 ( 2 ’ 2 ) “ 192 ( lj3 ) + 384 ( 2 ^ 3 ) } C i • e' 2 e 3 ... (L ( . e' 2 e 3 ) 
& = 12 . 
* X { - (0,0) + ™ (1,0) - ^ (0,1) + ^ (1,1) 
QQ 1 107 O 1 7 1 
- ^ (O’ 2 ) + -si (!’2) - T (°’ 3 ) + £ O* 3 ) - 32 (M) 
1 1 ( 12 ) ( 12 ) 
+ Ws( l ^\ C i (L .eV) 
/t = 13. 
f 240643 .... . 24571 . , 1219 /A , 235 
m ^ 240 (0,0) 4" g(j (0,1) + 4 g (0,2) + ^2(0,3) 
384 (®’ 4 -) 3840 (^’ 5 ) j* ‘ ^ 
(13) 
(L • e 5 ) 
The arguments of the cosines multiplied respectively by these coefficients, it 
must be recollected, are not similar. Their form will be determined by the 
considerations mentioned in (10). 
m 2 
