Adams. — On Natural Sines. 207 



while the value obtained in 3 above is 0-17278, 87047, 7, which 

 sufficiently checks the work. 



The results may then be safely cut down to seven decimals, 

 and will give the sines correct in the last figure, except perhaps 

 in a few cases where the 8th, 9th, and 10th decimals are 

 499, 500, or 501. 



Thus in the section under construction the final values 

 are : — 



' " Sines. Proportional Parts. 



