482 On the P^'ohlem of Sexiug Osteometrle Material 
where it must be remembered that the differential terms are introduced solely to 
account for the asymmetry as represented by /x^ and /x^, assumed to be zero to 
a first approximation. 
But (xii) and (xiv) show us that we must have : 
Sji = 8y.2, Bai = —Ba.y. 
Hence from (xi) : Bih = — nBjijy (xvi). 
(xiii) now becomes : 27-871 + 00-780-1 = /u^, 
and (xv) : 47^871 (7- + 5a--) + 2O70- (7- + 3o--) Ba^ = /x,,. 
Whence solving we find : 
S71- ffl+3^1g-|5 (XVI.), 
Ba^ ■■ 
B)ii = — Buo 
o 7' 
1 
Ba, = -i[l + 5'^]^^-^- 
* 7-/ 0-7 o 0-7'' 
nBy^ 
7 
.(xviii) 
...(xix). 
These form together with (ix)'"** the complete solution of the problem. 
The following example illustrates the procedure: 541 measurements were made 
of the bicondylar width of English femora, right and left, male and female being 
mixed. The frequency below resulted. 
Frequency Distribution of 541 Femora for Bicondylar Width. 
mm. 
Frequency 
mm. 
Frequency 
mm. 
Frequency 
61 
1 
71 
23 
81 
28 
62 
1 
72 
33-5 
82 
23 
63 
1-5 
73 
25 
83 
19 
64 
5 
74 
22 
84 
17-5 
65 
13-5 
75 
36 
85 
19-5 
66 
14 
76 
25-5 
86 
16-5 
67 
15-5 
77 ■ 
29-5 
87 
7-5 
68 
22 
78 
32-5 
88 
3 
69 
31 
79 
19-5 
89 
3-5 
70 
19 
80 
33 
90 
0-5 
The constants of this distribution were 
ilf =75-8152, 
^l, = 37-692,112, 
fi, = 3020-893,695, 
Hence we deduce : 
/3i= -000,125,047, 
/S2= 2-126,349, 
2-587,693, 
83-260,992. 
^83 = -000,106,750, 
= -436,8255, 
^2 = -001,143,72. 
