292 



ANIMAL MECHANICS. 



>+9 



(1 + 1') cos OdQ 



YZTy ".7803. 



-9 



+0 



w cos me 

 —j^p—- 1 104.5 1 



The centre of the conic, 



f = Lx* + Ma( + N, (66) 

 is found by the equation, 



2 L 0.0962 



= - 4.93 inches. 

 The actual distance of the axis passing through the socket *S, 

 from the vertex 0, is 4.83 inches ; and the distance calculated 

 from our former approximation was 5.70 inches. The result 

 of the present calculation is 4 93 inches. 



If m and n denote the semi-axis major and minor of the 

 ellipse (66) we have 



(67) 



rn = V 2L = 5a37; 



n = m 1/ L = 1 5.62. 



When expressed in inches, these values are 



m - 2.099 inches ; 

 n - 0.651 „ 



The line LM, Fig. 76, is the minor axis of the conic (66), and 

 it is distant from the actual axis ST, by only one-tenth of an 

 inch. 



If we substitute one-tenth of an inch for x, in the equation 



(_£_Y + (_|_Y . 



\2.099; \0.6s1J 



