V-VII] 



litti'n<ltii-lion 



\l\ii 



TABLE VI. 



Values of pt and (/. 



N.B. The last figure in q s may be a unit in doubt, but this will not affect seven- 

 figure accuracy in the r's. 



As an alternative to this method we can apply differences taken from the table 

 itself when s lies between 14 and 19, and h is not greater than 3'7. When 8 lies 

 between 14 and 19 and h is greater than 3*7, we must use a backward difference 

 formula. 



We will now illustrate these cases. 



Illustration (i). Find TU (1-03467). 



Here 6 = -3467, <j> = '6533, 



%0<t> = "0377,4985, ^0 (1 + 6) <f> (1 + 0) = '0042,0250. 



If the differences be found from the table we proceed as follows, using (iv) : 



Tls (0-8) = --042,6729, 



Tl3 (0-9) = - -043,0704, S 2 r 13 (0'9) = + -005,3224, 



Ti 3 (l'0) = - -038,1455, SV^l-O) = + '004,1923, 



r 13 (1-1) = - -029,0283, S 2 r 13 (M) = + '002,5804, 



TIS (1'2) = - -017,3307, S 2 r 13 (1-2) = + -000,7750, 



Tl3 (1-3) = --004,8581. 



Hence, using formula (iii), 

 T W (1-03467) = -3467 (-'029,0283) + '6533 (- '038,1455) 



- -0377,4985 {1-3467 (-002,5804) + 1'6533 (-004,1923)} 



4- -0042,0250 {2'3467 (- -000,1935) + 2'6533 (- -000,4818)} 

 = - -0100,641 1\ 



- -0249,2046 I 



>- 



- -0003,9283 



-0000,0728 / 



S 4 r 13 (rO) = - '000,4818, 

 S 4 r 13 (ri) = - '000,1935, 



= - '0353,8468, 



