100 
PROFESSOR AIRY ON AN INEQUALITY OF LONG PERIOD 
(k) 105 „(k) (k) (k) 
(4.0) c 4 = +16- C 4 - 13,8031342 . C 3 - 6,6980500 . <X 
(/f) (Jc) 
- 5,9973139 . C 7 + 1,2388750 . C, 
T TT 
(*) 945 _( /f ) (ft) (ft) 
(5.0) C* = - C 4 + 84,1230534 . C 3 + 15,4872787 . C, 
m (k) (k) 
+ 10,2085636 . C 7 + 24,0925995 . C q - 3,6747654 . C, t 
TT TT T 
3 
45. Making s = 77, the formulae give 
(A) 1 (ft) (ft) 
(1.0) (X = - T C] - 0,9887370 . <X 
(ft) 3 (ft) (ft) (ft) 
(2.0) C 3 = + jC 3 — 1,1812599. C s + 1,6293350 . C 7 
V T ** T T ~T 
(Jc) 15 (Jc) (Jc) (Jc) (Jc) 
(3.0) C 3 = — -TT C 3 + 7,5403278 . C, + 8,2837785 . C 7 - 3,7589615 . C 9 
T 0-3- -7J- -7- 
5 
46. Making s = 77, the first formula gives 
(4) 1 (k) (k) 
(1.0) c;_ = - 3- - 1,6478950 . C\ . 
(k) (k) 
47. Substituting in these the values of C, , C 3 , & c. found in the last sec- 
tion for different values of k, we form the following tables: 
For the development of the first term , 
(0,0 )cf } = P x 0,0414571 
(1.0) cf =4 x - 0,414243 
(2.0) C^ 8) = -^ x 4,71815 
(3.0) C ( r 8) zr-X x - 61,0595 
k= 8 
