XXXVIII XLI] 



rxrm 



Tho values of the abruptness-coefficients ai 



",' ",fo 1137V- 163V + 137V -63V + 12VI 

 ' = T 1 * ( 45w i' ~ l 9 i' + 10W - 51V + 10V} 

 V = - i{ 17V- 54 V + 6W-34V + 7 6 '| 

 a 4 '= { 3//,'- 11 V + 15V- 9V + 2V{ 

 V = - { V - 4V + 6V - 4V f VI 



Similarly we find for the b coefficients 



45w V ~ 

 17n' p - 



-- 



137n' p _i ~ 

 105n'p_ - 5 



10n' F _ 4 j 



6n / _ 2 - 



.(xiv). 



p T'* p i T w* p 2 



We can, however, throw these results into a form, first suggested by F. Sandon*, 

 where however we use factors more suited than his decimal fractions to continuous 

 processes on the arithmometer. These results dispense with the calculation of the 

 a's and b's entirely. 



Let 



11 1 ** l r ' l l 1 9 *fi fa I _i 1 A 1 7rt I" 3 I j. A *Sfi J W I -i Q 1 W ) 



ll,15-> s |- 12,5oo { J- + 10,170 { } + 4,58o { } -f- 800 { 



(w p 



# 



,* 



1,830 





4,358 



" 1 



60480 x N 

 + 4,110 f713 



^ J- 1,962 



29,487 f H - 25,128 



60480 x N 

 + 15,702 I" 3 - 5,928 



987 



l;;;j 



10 x 60480 x N 



,674 H- 3,898 I" 1 1+ 3,570 i^ 3 I - 1,662 j" 4 



W (^p-i) (p- (v- 



_ 



60480 x N 



Here the upper w's correspond to H t<a and the lower to //,,&. 

 The reciprocal of 60480 is '0000,1653,4391,5344, if the computer prefer to use 

 it, instead of dividing the total already on his machine by 60480-AT. 

 Introducing h the base unit, we have for moments about the origin : 



* Dioiiutrika, Vol. xvi. pp. l'J3 195. An error in the value of /*j' on p. 194, i.e. Zip'kJN is printed 

 for - 2x p 'kiJN. 



B. II. W 



