DR. A. LEE AE’D PROFESSOR K. PEARSOX OX 
L^36 
Table YlII. 
Formulae for German females. 
Probable 
error of mean. 
(^) 
C' 
= 12‘055 L — 755*53 . 
53-27 
\/ n 
^(2) 
c 
= 15716 B — 927-66 . 
51-88 
\/?i 
(3) 
c 
— 10-993 H + 82-13. 
G5-45 
\/ 
(^) 
c 
- -1-125 I + 1430-60 . 
73-31 
\/n 
(5) 
c 
= 7-884 L + 10-842 B - 1593-96 . 
43-16 
(6) 
c 
= 10-618 L + 6-366 H - 1232-85. . 
58-70 
\/ n 
(n 
c 
= 14-014 B + 6-749 H — 1452-89. . 
48-06 
\^n 
(8) 
= 7-065 L + 10-126 B + 4-848 H - 
1902-02. 
V n 
(9) 
c 
= -000383 (L X B X H) + 242-19 . 
42-58 
\'^n 
It will be noticed that a formula, No. (9), not hitherto referred to, has been 
introduced into these tables. As capacity is of three dimensions, an attempt has 
been several times made by anatomists to determine a relation betv'een capacity and 
the product, L X B X H. This attempt seems to me to ha^'e foiled because it has 
Vjeen based on a relation of the kind 
capacity = constant X (L X B X 
whereas the mathematical theory shows that we should rather expect a relation of the 
type 
capacity = constant -f constant X (L X B X H), 
Of course, if L, B, and H differ only by small quantities, x^, x^, aq, from their 
means, the last relation may be written 
capacity = yo + yiO?b + 
where Jq and yj represent constants, or 
C = 7 o ff 72 -'^i + y-dP^-i d" 7-1^3 + products of small quantities 
= 7o + 72 + 73 B + y.iH, 
where y^, y^, yg, y^, are constants, if we neglect terms of the order x^'m^ X aq/zH., as 
compared with x^jm^ and xjm.2, Szc. 
* Relations of the form : capacity = const, x (L + B + H)-^ have also heen suggested. 
