H. Waite 
429 
Put c for 44-36 and the equation is* 
, 1 
- g am 
.(i). 
Expanding the right-hand side we get, to a first approximation, 
p m am 
?hich reduces to 
P 
.(ii). 
A table of vahies of a and m found from Equation (ii) is given in Table B 
below ; the graph is the upper curve in Diagram I, the portion of the graph 
common to this equation and to Table A, is given in Diagram II. 
The graph of Equation (ii) fits very closely that of Table A when on exceeds 
100, and accurately when m approaches ^j; for small values of m however the two 
* The general form of this curve is given below. It has three branches : — {a) in the first quadrant, 
the line vi=p being an asymptote ; this branch ends in a -point (VnrrH at ' ^^^^ "* ^^''^ 5 
(h) in the second quadrant with the axes of coordinates as asymptotes ; (c) in the fourth quadrant, the 
axis of m and the line m=p being asymptotes. That part of the branch (a) which is above the hyperbola 
001=1922), alone has any direct application to the present problem. 
DiAOEAM III. General Form of Curve of Equation (i). The dotted line is the hyperbola which limits 
the practical solution of the part of the curve in the quadrant AOM. 
Biometrika vii 55 
