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No. 16.] NEW SPECIAL TABLES FOR THE COMPUTATION OF HINDU DATES.159
four decimals. (2) To the sum of a (mean distance of Sun and Moon) two corrections (equations) must be applied, while in the General Tables only one equation is needed. The arguments of these equations are the sums of b and c, respectively, and they are to be looked out in the tables of equations under the several siddhantas. In order to calculate the value of the equation for an argument not entered in the table, but lying between two table values, a column headed ▲ 10 has been inserted in the middle of these tables, which gives the increase or decrease of the equation for a difference of ten in the argument.
I now proceed to illustrate the working of the new Tables by a few examples.
First example.-Let it be proposed to verify the date: Kali-Yuga 4198, Chaitra su. di. 2 ravau, according to the Surya-Siddhanta. We first calculate the date according to the General Tables, and write down the calculation in the proper form (see above, Vol. I. p. 410).
4100 K.Y. 98 years
4198 K.Y. (5) 9.57 15th sol. Chaitra (4) 22.52
41st century 98 years
15th sol. Chaitra
(1) 5.58 111 (4) 399 59
4 ghatikās 226 32 palas
30
(2) 2-09 eq. 763=0
256
2.09
Result: On the Monday (2) in question, the third tithi was running; it commerced on the preceding day (Sunday), about 5 ghatikas before mean sunrise. Now in order to calculate the result according to the Surya-Siddhanta, proceed as follows. Look out K. Y. 4100 or 1st century K. Y. in table I, 98 years in table II, and 15th Chaitra in table XIII (which is the same for all Siddhantas) and sum up the quantities in the several columns (rejecting integers); thus
w
(1)
(4)
(4)
24
170
593
3
27
763
a
18563
13299
75053
6915
2660
7353
K. Y. 4198, 15 Chaitra (2) Now find the equation for b 2660 from table III, vis. 5, and the equation for c=33 from table IV, viz. 3; then add these equations to a, viz. 6915+5+3=6923. Table XVIII gives 6667-su. di. 2; the difference from a just found, 6923-6667-256; this is according to tables XIV and XV equal to 4 ghatikis (a=226) and 32 palas (a=30). Therefore, according to the Sürya-Siddhanta, the 2nd tithi ended 4 ghatikas 34 palas before mean sunrise. This result is very nearly right, and we may in most cases rest satisfied with it. If the highest degree of accuracy be required we subtract the increase of a b c for 4 ghafikas 2 palas from tables XIV and XV to the result found before; riz. from 6915 22
2
2
Ind. =20:43 Ind. su. di. 2=22:43
b
6157
571
5932
6915 2660 - 256 27
6659
2633
7863
9990
9500
C
7353 2
7351
