van orstrand: circular functions 



301 



In the preceding notation, ns is used to represent 



( Ax) n sin x -r- I _n and similarly nc represent ( Ax) n cos x -4- | n . 



The constant quantity Ax is here equal to 0.001. 



The above method has been used in the preparation of a table 

 consisting of 1600 values of sin x and cos x between the limits 

 0.000 and 1.600 with an accuracy of about 8 or 10 units in the 

 20th place of decimals. This table, a portion of which appears 

 in the present paper, is to be published in full during the coming 

 year. Further interpolations are being made for the purpose of 

 obtaining a complete 10-place table which will also include values 

 of tan x and cot x to the same degree of accuracy. All of the com- 

 putations have been made by Messrs. William J. Ahern and Alfred 

 G. Seiler, graduates of the McKinley Manual Training School 

 of Washington, D. C. 



The tabular error of the values in the following table is less 

 than 5 units in the 16th place of decimals. 



