ANIMAL MECHANICS. 347 



using the mean of all three. In this way I obtained (93) the 

 following equation : — 



14.54 a' = 5.10 a + 42.38 

 a' = 0.35 a + 2.91. 



Substituting this value of a' in the equation, 



p 2 = a 2 + a /2 - 2aa' COS 20 + 4c 2 , 



we find 



1. 12 a 2 + 2.03 a - 10.71 = o ; 



and finally, 



(+2.32 , (+3.72 



a = < a = \ 



Taking the first pair of values, which correspond to the 

 problem in hand, we find — 



Woman — Adductor secundus (j3). 



a = + 2 32 in. 



a 



= 3.72 m. 



ai = + 1.04 „ 



a\ 



= 7-3 6 >, 



a a = - O.24 „ 



a'% 



= 1 1. 00 ,, 



a 



- = + O.400 

 P 



a' 

 P 



= + 0.656 



a, 



- = + 0.120 

 Pi 



a'i 

 i?i 



= + 0.920 



a 2 



— = - 0.021 



a'2 



= + 0.951 



2f a V + o. 5 i8 



VP J 



- + 2.527 



