CALIFORNIA ACADEMY OF SCIENCES. [PROC. 30 SER. 



Equations of Condition. 



= zx. 



To reduce the number of equations, those nearly alike 

 were combined, as follows: Equations No. i, 6, 7 and 21; 

 2, 3 and 14; 4 and 8; 5, 10 and n ; 9, 12 and 20; 13, 22 

 and 23; 15 and 16; 17, 27 and 28; 18 and 19; 24, 25, 26 

 and 30; and 29 and 31, giving the n equations: 



No. 



i 



2 



3 



9 

 10 

 ii 



79.20 

 8S.78 

 30.48 

 21.47 



57-31 

 87.03 



27-I5 

 62 75 

 67.36 

 83 49 

 65.34 



x = 



I 



8.6 

 3 2 



2. I 

 2.7 



5-4 

 5-2 



2.2 



50 



4.2 



II. I 



4-3 



