log r (87614) = 



lvi Tables/or Statisticians and Biometricians [XXXII — XXXIII 



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



T (8-7614) = 7-7614 x 6'7614 x 57614 x 47614 x 3-7614 x 2-7614 



x 1-7614 T(l-7614). 



•889,9401 + log T (1-7614) 



•830,0366 



•760,5280 



•677,7347 



•575,3495 



•441,1293 



•245,8580 



Hence 



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

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

 = 1-964,5918. 

 .-. log T (8-7614) = 4-385,1680. 



T (8-7614) = 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. vni. 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), 



where u — xjc is its equation. 

 If the chord be 2x, then 



subtense/chord = (y — c)/(2x)\ 



= (sinh frt ) 3 > (xliv), 



u J 



arc/chord = — ( x l v )> 



arc — chord _ sinh u — u _ /3 / l - \ 



chord = u = 100 { } ' 



subtense _ (sinh \iif _ a / \ "\ 



chord ■■ "T~~~l00 ( ; " 



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



