LIV — LV] Introduction Ixxxiii 



<£ = 8°-4386, r-Sl: 



log S(r, v) = -388,558a + (-4386) [238] - } (-438(5) (-5614) [27] 

 = 388,5684. 

 <f> = 8°-4386, r = 32 : 



log H(r, v) = -388,8910 + (-4386) [231] - \ (4386) (-5614) [26] 

 = -388,9008. 

 Hence </> = 8°-4386, r = 30 8023 : 



log H (r, *) = -388,2137 + 8023 [3547] - £ (-8023) (1977) [- 223] 

 = -388-5001. 

 Hence by formula (lxxxv) : 



log F (r, v) = i>4> log e + r + 1 log cos <£ - £ log (r - 1) + log ZZ" (r, i/). 

 Or, using Tables LIII and LV, we have 



log F(r, v) = 292,2901 - -737,1249 



+ 1-849,6578 

 + -388,5001 



•530,4480 

 - -737,1249 



log F(r, v) = 1-793,3231 

 Finally from formula (xci) : 



log y = log N - log a - 1793,3231 



= 3-340,8405 - 1-175,8509 



- 1-793,3231 



- -969,1740 

 = 2371,76665. 

 Or y = 235324*. 



Table LV. 



This table contains some miscellaneous constants in frequent statistical or 

 biometric use and requires no illustration. It lias already been used in the 

 illustrations to previous tables. 



I have had the generous assistance of my colleagues Miss E. M. Elderton and 

 Mr H. E. Soper in the preparation of the Illustrations to these Tables. I can 

 hardly hope that arithmetical slips have wholly escaped us in a first edition, 

 and I shall be grateful for the communication of any corrections that my readers 

 may discover are necessary. 



* The value 235-323 obtained in Phil Trans. Vol. 186, A, p. 387, was found by the approximate 

 formula (xciv) before tables were calculated. 



