ANIMAL MECHANICS. 381 



In order to calculate the positions of the points 1 and I\ 

 we have (taking into account the precautions as to sign already 

 mentioned), vide equation (93), 



pi - p 2 = - 2 (a + a' cos 2$) a + 2 (a + a cos (p) a', 

 + (a 2 4 a' 2 + 2«a' cos 2<p). 



From this we find 



1 1.78 a' = 1 1.96 a + 26.30, 

 a' = a + 2.23. 



Substituting this value in the equation 



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



we find 



0,69 a 2 + 1.53 a - 19.13 = o, 



and finally, 



( + 4-27 , = ( + 6.50 



t-6.49 " (-426 



The first pair of values are those required by our present 

 problem. Using them, we obtain — 



Lion — Adductor secundns (j3). 



a = + 4-27 



a 7 



= + 6.50 



cti = + 2.41 



a/ 



= +8.23 



a 2 = + 0.55 





= + 996 



- = + 0.728 

 P 



a' 

 P 



= + 1. 109 



ai 



— = + o.^oo 



P\ 

 /'1 



= + 1 .025 



a 3 



— = + O.OC4 



(12 



= + 0 980 



Sg) =+1.082 





( = + 3.114 



