102 
PROFESSOR AIRY ON AN INEQUALITY OF LONG PERIOD 
(4,l)C (n) = -L x 9631,75 
4 a 
(3,2) C< U > 
k= 12 
(0,0) c? 50 
(1,0) c ( ' 2) = i X - 0,131750 (0,1)C ( I 12) = j- X 0,122369 
4 /i' 4b ft' 
(2,0) C< 12) = 1 x 2,01559 
i u 
(l,l)Cj; 12) = -i x — 1,75209 (0,2) C ( / 2) = -1 
a d 7Z Cl 
(3,0) C C r 12) = -1 x - 33,6822 (2,1) C ( r 12) = -L x 27,6354 (1,2) C ( / 2) = i 
4r fl' 4b n. ' 4 ft' 
L X 17,8570 
(0,3) C ( r 12) 
(4,0) Cf } = I X 612,866 (3,1) <i 12) = JL 
« a' 4 W 
(2,2) C ( / 2) = -1 x 367,595 
£ a 
(1,3) C ( r 12) = i x - 278,079 (0,4) C ( x 12) = \ 
v a £ a' 
c\\ r< 12 ) 
(5,0) C x 
-Lx - 12169,39 (4,1) C ( 1 12) = i x 9105,06 (3,2) C ( * 2) = i 
a v a' 4 a' 
(2,3) C ( r 12) =ix 4876,40 (1,4) C ( J 12) ='x- 3486,00 
4 a' 4 a 
k = 13 
(0,0) C ( r 13) = i- x 0,0065274 
2 a 
(1,0) c[ 13) = -L x - 0,098398 (0,1) C ( I 13) = i X 0,091871 
4 a ^ a 
,(13) 1 
(IS) 1 
,(13) 1 
(2,0) C = — r x 1,60062 (1,1) C' “'ssJL x - 1,40382 (0,2) Cl ' = -L 
i ft' 4 c - 4 - ft' 
(3,0) C < 1 13) 
(0,3) Cj 13 ^ 
7Z 
(2.2) C\ 
(5,0) C 
(2.3) C 
( 13 ) 
i 
( 13 ) 
4 
( 13 ) 
7 x - 28,3028 (2,1) C ( r 13) = — x 23,5009 
' 4 a' 
T x 15,6292 
r x 333,529 
(4,0) C ( x 13) = -i x 540,744 
4 a 
(|- 2 ) C r=7 
(3,]) c *‘ 3) =-i 
(1,3)C) 13) = -L x -256,371 (0,4) C ( , I3) = -L 
4a' ^ a' 
( 13 ) 1 
= JL x - 1 1 205,35 (4,1) C; ' = -Lx 8501,63 
a' ? a' 
six 4696,32 (1,4) C ( t 13) = i x - 3414,46 (0,5) C v "' = — 
ft’ TV ft ' 4b ft 
(3,2) C ( t 13) = -L 
^ a' 
(13) 1 
4 = 9 
For the development of the second term, 
(0,0) C (9) = i x 0,904785 
-7 ° 
(1,0) c (9) =-i X - 13,18976 
4 a' 
x 4993,90 
x 1,50735 
x -22,3791 
x -478,137 
x 206,651 
x -6714,37 
x 1,22008 
x - 19,2894 
x -427,533 
x 193,854 
x - 6363,96 
x 2445,19 
