﻿24-6 ON THE ASTRONOMICAL COMPUTATIONS 



" majyas\ are completed, which will be as follows : 



123456 7 8 



" 225, 449, 671, S90, 1105, I 3 l 5> l S 20 > 1 V9* 



9 10 11 iz 13 14 15 16 



" 1910,2093,2267, 2431,2585,2728,2859,2978, 



17 l8 19 20 21 22 Z3 24 



" 3 o3 4>3 I 77>3 2 5 6 > 33* 1 ? 337 2 > 3409, 343 I >3438- 

 " For the utcramajya *, the twenty-third cramajya 

 c< deducted from the /r/^jvz or twenty-fourth cramajya, 

 " leaves the first utcramajya ; the twenty-second de- 

 " ducted from the twenty-third, leaves the second 

 " utcramajya ; the twenty-first from the twenty-second, 

 " leaves the third; the twentieth from the twenty- 

 " first, leaves the fourth. In the same manner pro- 



" ceed until the utcramajyas are completed ; which 



1234s 67 

 " will be as follows : 7, 29, 66, 117, 182, 2-61, 354, 



8 9 10 n 12 13 14 15 16 

 " 460, 579, 7IO, 853,1007,! 171,1345,1528, I719, 



17 18 19 ab 21 22 Z3 24 

 " 1928,2123,2233,2548,2767,2989,3213,3438." 



So fir the Su^*Sufdhanta on the subject of the 

 sines. The commentator shows how they are geo- 

 metrical!} constructed : " With a radius describe a 

 *' circle, the periphery of which divide into 21600 

 " equal parts, or minutes. Draw north and south, 

 " and east and west, lines through the centre: set 

 " off cpritrarywise from the east point, 225 on the a 

 " periphery, and draw a string from those extremi- 

 " ties across the tr'ijya \. The string is the jya> and 

 <£ its half the ardhajya, called jk\i. The Faruiits say, 

 " a planet's place will correspond with the ardhajya ; 

 " by which, therefore, computations of their places 

 " are always made ; and by the term jya is always 

 :c understood the ardhajya. The first jya will be 

 ss found to contain 449 minutes, and the operation, 

 " repeated to twenty-four divisions, will complete the 

 "' cramajya. In each operation, the distance cqn- 



U — * ! — 



% Cramf)ijfas x righpsmes. * Utcramajyas, sprsed sines 



t T*yjy<h the radius. » 



