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160
EPIGRAPHIA INDICA.
[VOL. XI.
Equation for b=2633 is 4 ; equation c for 7351 is 3; the sum of both equations=7 added to 6659 makes 6666, which falls short of 6667 by 1. Therefore the end of the tithi occurred one pala after the moment calculated or 4 ghatikās 31 palas before mean sunrise at Lanka.
Second example.-Computing the date K. Y. 4276 Bhädrapada su, di 13 ravau, our calcu. lation by the General Tables stands thus (I. c. p. 411) :
4200 K. Y. (1) 2.19 699 Ind. = 26-54 76 years (5) 1.27 454 Ind. sn. di. 13= 9.54
(6) (2)
3.46 883
153 661
3rd Asvina
(1) =
12:29 0-08
814
eq. 814
(1) 12:32=Sunday, su. di. 13. Let it now be required to calonlate the end of the 13th tithi according to the Arya-Sid. dhänta. By the General Tables we find that this moment occurred about 40 ghatikās (=0-68 tithi, table IV) after mean sunrise at Lanka. The Tables for Arya-Siddhänta farnish the following data :4200 K. Y. (1) 7236 1988
7848 76 years (5) 4208
4555
9 3 Ābvina
28266 6615
4271
2128
40 ghafikas
39710 2257
3158 242
18
41967
3400
2146
equation b for 3400 is 215, equation for 2146 is 1178; their sum 1393 added to a 41967= 43360. The difference from 43333, the value of 13th tithi, is a 27= 25 palas, by which the end of the tithi ooonrred before the moment calculated. The exact time is therefore 39 ghatikās 35 palas after mean sunrise at Lanka.
Possible error.--As in the tables fractions are neglected or counted as 1, according as they are less or larger than , the absolute error in every quantity may amount to +0:5. Usually the plus and the minus of the different figures will compensate for each other, but in extreme Cases the neglected fractions may sum up to 2.5 or £35, according as 5 or 7 a's are summed up. This error, in time, would be 2, 7 and 8, 7 palas, or 1 minute 5 seconds and I m. 29 B., respectively.