IN THE MOTIONS OF THE EARTH AND VENUS. 
81 
+ | — 4 (1>1) + 3- 0>2) J- Cj . eVcos (1 + 2) 
+ {4 (0,1) - T (0,2) + £(0,3) J Cf. ^ cos (0 + 3) 
Terms of the fourth order, 
{} 0,0) - ± (2,0) + ^ (3,0) - ^ (4,0) j Cf . & cos (4 + 0) 
+ | — Tg(ljl) + 77(2,1) — ( 3 , 1 ) j-Cj . <?' 3 ecos (3 + 1) 
+ | — -g - (1^1) +7 q ( 2,1) +y6(!j2) — 33(2,2) j> C , . e' 2 e 2 cos (2 + 2) 
+ | — TtiC 1 '' 1 ) + "8 (1> 2 ) “ 4s( lj3 )} *4 ‘ ^ £cos (! + 3 ) 
+ { 1 (0,1) - x (0,2) + ^ (0,3) - ^ (0,4) } Cf . e* cos (0 + 4) 
Terms of the fifth order, 
r 125 05 5 i i 5 (k) 
{ 384 0 *°) “ go ( 2 >°) + 64 ( 3 >°) “ 96 ( 4 >°) + 1920 ( 5 ’°) j C ! • e ' b C0S ( 5 + °) 
+ { ~ 77 + T ( 2jl ) “ 32 ( 3jl ) + 384 ( 4jl ) } • e '* € C0S ( 4 + 1 ) 
32 ( ljl ) + 16 ( 2 ^) + 64 t 1 ’ 2 ) ~ 96 C 3 ’ 1 ) “ M ( 2 , 2 ) 
+ 7^2 ( 3 > 2 ) } C i ^ ^ * C0S ( 3 + 2 ) 
+ { - k (M) + k ( 2 ^) + T 6 0> 2 ) " 55 ( 2 > 2 ) ~ §6 (^ 3 ) 
+ (2,3) j Cf . e' 2 e 3 cos (2 + 3) 
+ { “ 7T C 1 ’ 1 ) + l (l^ 2 ) “ k 0> 3 ) + s§4 ( lj4 ) } C i°- <?' ^ cos (1 + 4) 
T 125 25 5 1 15 (k) 
+ { 384 t 0 ’ 1 ) “ 90 (°’ 2 ) + 64 (°> 3 ) ~ 96 (°> 4 ) + T 92 O (°> 5 ) j C f • ^ cos (° + 3 ) 
MDCCCXXXII. 
M 
