﻿248 ON THE ASTRONOMICAL COMPUTATIONS 



" square root of the difference is the jya, of 67% 30', 

 " or 3177', which is the cotijya of 22 , 30' equal 

 " to 13 1 5'. The bhujajya and cot'ijya deducted 

 is severally from the trijya, leaves the utcramajya of 

 iC each 2,123", an ^ 261'." — &c. 



This is sufficient to show, that the Hindus have the 

 right construction of the sines, although they do not 

 appear, from any thing I can learn, ever to h$ve car- 

 ried it farther than to twenty-four divisions of the qua- 

 drant, as in'the following table. Instances of the like 

 inaccuracy will occur in the course of this paper. The 

 table of sines may perhaps be more clearly represented 

 in the following: manner : 



Right Sines, the Radius containing 3438 Minutes* 





Versea Sine 



s. 



For the sines of the intermediate arcs, take a mean 

 proportion of the tabular difference, as for the sine of 

 14 , whicfc is between the third and fourth tabular arcs, 

 or 16, minutes exceeding the third; therefore 225' 



