208 



Cincinnati Society of Natural History. 



log 



log sin (E'— M) 

 log sin^ (E'— M) 

 12 



9-19022M 

 8-38044 



2-68000 



ap sin^(E'— M) 



Zech 0-0009064 



log approx. tan (E— | M) 9-6485715n 



approx. (E— iM) 156° 0' 2"-05 



true (E— 1 M) 156 1 -69 



It is readily seen from this solution that equation (15) gives ex- 

 ceedingly accurate results. The following table is self-explanatory : 



Corrections to values of E, found by equation (15). 



When M exceeds 180°, the signs of the functions in this table 

 must be changed. The table was formed by subtracting values of E 

 given by equation (15), from those computed in the ordinary manner, 

 using seven-place logarithms, and is, therefore, liable to slight errors 

 in the last decimal place. 



