METHODS OF INTERPOLATION. 823 



Formula (82). 

 wi = wg ^^^(l- cos ^^ = .0380G02337 IsT 

 no = n, = m Tcos ^- cos ? 1 =.1083863757 K 



= n-r = ^'N ( cos ^ — cos ^ ) = 

 - V. 8 4/ 



«3 = 7ic =^ IS" (^ cos ? - cos ^4^) =.1622116744 X 



cos -r — COS —- ) 



V 4 b J 



n, = n^ = ^N cos ^ =.1913417162 N 



8 



A = 4 I 3.56260914(84+ S5) +1.16478440(82+ 8^)- 1.66364272(83+ 86) 



-(Si+S«)| 

 B = A I 44 (85 - 84) + 5.37258300 (87 - 83) - 10.62741700 (Sg - 83) 



- 4 (83 - SO I 



C = i-3 1 170.1530208 (83 + 8g) + 120 (81 + 83) — 135.3171087 (82 + 8,) 



-91.4672651(84+85) I 

 D =^4 I 735.058008 (Sg- 83)+ 320 (80- 80-1088 (85- 84) 



- 416.941992 (87 - 82) \ 



E = i. I 1974.062909 (82 + 8,) + 659.380867 (84 + 85) - 1920 (81 + 83) 



-1646.323811 (83 + Sg) [ 

 F = i^ I 7680 (85 - 84) + 5507.76797 (8, - 82) - 6780.23203 (83 - S3) 



- 4608 (83 - 81) I 



G = i^ I 7168 (81 + 83) + 4060.34584 (S3 + So) - 6076.73698 (82 + 8,) 



- 1425.80385 (84+ 85) \ 



Lastly, the nine-group formula is — 



Formula (83). 

 wi = ^9 = ^^T /'i _ cos l\ = .0301536896 I^ 



112 = ns = ^N Tcos J - cos ^") = .0868240888 N 

 M3 = 71^ = ^1^ f cos ^i" - COS ^^ = .1330222216 N 



