IN PHYSICAL ASTRONOMY. 
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+ 3 e e, cos (x + z — 2 y) — e e l cos (x + z + 2 y) 
[83] [84] 
— ee t cos (2 t — x — 2 — 2 y) + 3 e e, cos (2 £ -j- x + z — 2y) 
[85] [87] 
+ 3 e e t cos (x — z — 2 y) — ee t cos (x — z + 2 y) 
[89] [90] 
+ 3 e e, cos (2 1 — x + 2 — 2 y) — e e ( cos (2 * + x — z — 2 z/) 
[91] [93] 
— -|~e,-cos(2z — 2y) - -^-e^cos (2z + 2y) 
[ 95 ] 
[96] 
p~ IQ 
+ —5*- cos (2 t — 2 z — 2 2/) + e, 2 cos (2 £ + 2 z — 2 y) 
o o 
[97] 
[99] 
+ a 9 «/ 9 sin 4 -i-|i + -Lcos(2*-2y) j 
[63] 
— = — I — + — e 2 + it e,® + e 2 e* + e « — e ( 1 — -J- + — e, a j cos x 
[ 2 ] 
+ f*. { 1 + T* + I'-'} co ” - T { 1 - T + *-f } cos21 
P] [8] 
- 4-ee, { 1 - + 4“ e '“ } C0S (* + z ) 
[> 1 ] 
~ \ ee < { 1 ~ y + -§■ e / 2 } cos (* - z ) 
[14] 
+ A e/ 2 | 1 + ^ e* + e 2 1 cos 2 z — cos 3 z e 9 e, cos (2 z + z) 
[17] [20] [23] 
o Q 9 
— _e- e t cos (2 x — z) e e/ 2 cos (x + 2 5 ;) — — e e? cos («r — 2 z) 
[29] 
+ e. 3 cos 3 2 — cos 4 a: — JLp cos (3 x + z) 
16 12 lb 
[26] 
#_ 
12 
[35] [38] 
[ 32 ] 
[ 41 ] 
2 L 
MDCCCXXXI. 
