Ivi Tables for Statisticians and Biometricians [XXXII — XXXIII 



Illustration (ii). Find T (8-7614). 



r (8-7614) = 7-7614 x 6-7614 x 57614 x 4-7614 x 3-7614 x 27614 



X 1-7614 r(r7614). 



log r (8-7614) = -889,9401 + log T (r7614) 

 •830,0366 

 •760,5280 

 •677,7347 

 •575,3495 

 •441,1293 

 •245,8580 



= 4-420,5762 + log T (1-7614). 

 log r (1-7614) = 1-964,5473 + -4 [1113] 

 = 1-964,5918. 

 .•. log r (8-7614) = 4-385,1680. 



Hence T (87614) = 24275-49. 



Table XXXII (pp. 62—63) 



Table XXXIII, A and B (p. 64). 



Subtense from Arc and Chord in the case of the Common Catenary. (Julia Bell 

 and H. E. Soper: see Biometrika, Vol. vin. pp. 316, 338, and Vol. ix. pp. 401—2.) 



If c be the parameter of the common catenary, then we know that 



y = c cosh u (xliii)j 



where u = xjc is its equation. 

 If the chord be 2x, then 



subtense/chord = (y- c)/(2x)\ 



^(^^ I (xliv)' 



u J 



arc/chord = ^-H^'^^^ (xlv). 



arc — chord _ sinhw— u _ ^ (xlvi) 



chord u 100 



subtense _ (s inh |m)- _ _«_ (xlvii) 



'chOTd" ~ u "100 



Corresponding values of a and /3 are given in the Tables XXXII and XXXIII. 



