IN THE MOTIONS OF THE EARTH AND VENUS. 
97 
( 6 ) 1 
C 7 = 7 x 221,8780 
y a 
C 7 7) = -Jr X 194,2735 
-Tf Co 
( 8 ) 1 
c 7 = 7 X 167,9770 
IT U 
(9) 1 
C 7 =-, X 143,6296 
(10) l 
C, =-, X 121,5988 
ir Co 
(11) i 
C 7 = 7 X 102,0404 
. . 7 „(*) sin 3 /3 
40. Making s = C, = f 4 cos ^3 
{ 
(2 1c + 7) (2 1c + 5) 
k 
(2 k-7) (2 k-5) ^(*+D1 
— - 7 - C 7 >. From this, 
( 12 ) 1 
C 7 = ? X 84,9489 
( 13 ) 1 
c 7 =-7X70,2184 
Cl 
(14) 1 
c, = z X 57,6/62 
(15) 1 
c, =y X 47,1003 
cr x) 
IT 
cf } = A X 1830,596 
-j- d 
( 8 ) 1 
C, X 1636,049 
(9) 1 
C 9 = ? x 1446,655 
Q (0 
41. Making j = —,C tl 
(2 k - 9 ) (2 
A 
( 8 ) 1 
C y = 7 X 15366,90 
(9) 1 
Cy = ?X 13907,74 
(10) l 
C 9 = 7 X 1266,709 
(11) l 
G\ = 7 -X 1099,213 
( 12 ) 1 
C 9 = ffi7 x 946,016 
sin 2 /3 f (2 £ + 9) (2 & 
18 cos 3 /3 A: 
^C^' + 1 ) j. From 
( 10 ) 1 
C y =77 X 12473,68 
(11) I 
C v = 7 T X 11092,76 
(13) 1 
c 9 = -r X 807,945 
T iv 
(1 4 ) 1 
C 9 = 7 x 685,214 
"2" Cl 
12) c (i_1) 
this, 
( 12 ) 1 
C v = 7T X 9/86,59 
(13) I 
C,, =—x 8570,0/ 
t a 
Section 13. 
(0 (*) 
Numer'ieal calculation of (0,1) C s , (1,0) C s , 8fc. 
42. It will be sufficient to form, by differentiation, the expression for one of 
the differential coefficients of each order, as the others can then be derived by 
(k) . 
simple addition. For C $ is a function of a and a of — l dimension: hence 
MDCCCXXXII. 
O 
