ON THE CALCULATION OP MATHEMATICAL TABLES. 



121 



Note on the Graphs of these Batio Functions. 



Zb/Xb and Zb/Yb increase, and W&/V6 decreases, with the argument. 

 Yb/Xb increases up to a maximum value '85285 when a;=3"1286, 

 decreasing then to a minimum value -85006 when a;=8-7283 ; there- 

 after it increases towards the asymptotic value 1. 



W6/X& increases up to a maximum value •78312 when aj=2^2584, 

 then descends to a minimum value •71013 when a;=4^9360 ; it then 

 rises slightly to a maximum •71025 when a;=5"5727, thereafter it 

 decreases towards the asymptotic value |\/2=^70711. 



There is an error in Prof. Webster's Table of bei'a; which necessitated 

 the recalculation of part of the Table. The error becomes considerable 

 as the argument increases, and the corrected figures used in calculating 

 the foregoing Tables are given below. 



