96 
PROFESSOR AIRY ON AN INEQUALITY OF LONG PERIOD 
-'s+l 
1 a- 
or (i - u-y 
"a - «y 
in which ; — — 7 
(7-)' 
l ( 
37. Making- 5 = — , 
formula, 
(4) 1 
= — 7 - X 3,403041 
T tt 
is = 2,3015505 
— «*)“ cos* /3 5 
1 (*) _ sin 2 16 
3 2 cos* /3 ’ & 
C, 
T 
(5) 1 
C, = 7 X 2,652559 
( 6 ) 1 
C, = -J X 2,047192 
4P-I /„(*-■> ,,(* + l)\ ... 
J • (Uj - c i )• Using this 
(9) 1 (14) 1 
2 3 =tX 0,904785 C 3 =tX 0,215803 
y U T ti 
(10) 1 (15) 1 
3 , = -j X 0,682935 C 3 =-7 X 0,161251 
TT CL t Cl 
( 11 ) 1 ( 16 ) 1 
i = y x 0,513799 c 3 =- 7 x 0,120579 
T Cl T U 
(7) 1 (12) I (17) 1 
: 3 =7 X 1,568093 C 3 = — X 0,385521 C 3 = zj X 0,090452 
■3- Cl T CL T U 
c\ =-, 
4 a 
( 8 ) 1 
c 3 =-T X 1,193991 
/f- li 
38. Making s = ~, C\ 
(is) 1 
C 3 = flT X 0,288655 
,(*) sin 2 
j3 f (2 A + 3) (2 A + 1) r ( 4 “ 1 ) 
> 4 j3 ‘ I lc W 
(5) 1 
C, = w X 27,43922 
6 cos 4 , ^ 
~ ^ C^ + ^ j» . By the use of this formula, 
C. 
(9) 1 
\ =?x 12,88246 
( 6 ) 1 ( 10 ) 1 
\ =yjX 23,1438 7 C 5 =yX 10,39741 
y u T ll 
c\ =- 
4- a' 
(f = 3 X 19,25046 
IT a 
( 8 ) 1 
C, = -r X 15,82608 
T ^ 
nn 5 ,.( /f ) sin 2 /3 f 
39. Making s = T , C, = . j 
(2*-5)(2A-S) ^,(* + 1)1 rr . 
— -j C 5 > . Thus we get 
(is) 1 
t = -/ X 5,24565 
IT W 
(14) 1 
C 4 = ^7 X 4,12790 
(11) I (15) 1 
\ =yX 8,32969 a =-/X 3,23120 
(16) 1 
C 5 =-7X2,51561 
T Cl 
c. _ , 
4 a' 
(12) 1 
C 4 = ^ X 6,62955 
f (2 A + 5) (2 A + 3) ^(*-1) 
I k 
