गुप्त अभिलेख संग्रह (जे. एफ. फ्लीट - गुप्त सम्राटों एवं परवर्ती नरेशों के ऐतिहासिक पाषाण व ताम्रलेख)

150 CORPUS INSCRIPTIONUM INDICARUM, VOL. III.
expired (A.D. 484-85); the month Âshâḍha (June-July); the bright fortnight;
the twelfth tithi.
From Table I. p. 10, write down (see Table V. on page 151 below), in three separ-
ate columns, three quantities, for Śaka-Saṁvat 0 expired, which are technically called
the kshêpaka or 'additive quantities;' viz. in (a) the abdapa, enter vâras 1, ghaṭîs 10,
palas 10; in (b) the tithi-śuddhi, enter tithis 12, ghaṭîs 45, palas 14; and in (c) the tithi-
madhyama-kêndra, enter tithis 24, ghaṭîs 52, palas 50. Below each of them respectively,
in its proper column, enter, from the same Table, the bhêda or 'variation' for the com-
ponent parts of the given Śaka year;¹ viz. for 400, in (a) vâras 6, gh. 30, p. 9.3, in (b)
tithis 15, gh. 55, p. 49.2, and in (c) tithis 9, gh. 24, p. 45; and for 6 years, in (a) vâras 0,
gh. 33, p. 9.1, in (b) tithis 6, gh. 23, p. 20.2, and in (c) tithis 14, gh. 58, p. 39.
Now, as the given year is anterior to Śaka-Saṁvat 1622 expired, a correction, to
be arrived at from Table II. p. 12, is to be applied, and is always to be added, in respect of
the tithi-śuddhi and the tithi-madhyama-kêndra. The reason for this correction, is this.
As explained above, the tithi-śuddhi and the tithi-madhyama-kêndra depend respective-
ly on the mean longitude and the mean anomaly of the moon. But the moon's mean
motion is not always the same. Therefore, to her mean longitude and mean anomaly,
obtained from the general Table of annual variation in them (Table III. p. 87 f., cols. 2, 3),
a correction (Table IV. p. 89 f., cols. 2, 3) is to be applied. Thus, for Śaka-Saṁvat 0
expired, the correction in the moon's mean longitude is 44 seconds, and that in the kêndra
is 2 degrees, 55 seconds (p. 90). These, turned into tithis, are 3 ghaṭîs, 40 palas, with
regard to the tithi-śuddhi; and 14 ghaṭîs, with regard to the tithi-kêndra. These figures,
therefore, are given as the correction in respectively the tithi-śuddhi and the tithi-kêndra
for Śaka-Saṁvat 0 expired. In the Table, this correction is given for intervals of 1000
years each. Taking first the tithi-śuddhi, the correction for Śaka-Saṁvat 0 expired, is
gh. 3, p. 40; and the correction for Śaka-Saṁvat 1000 expired, is p. 32. Therefore,
deducting the latter from the former, the difference, gh. 3, p. 8, or 188 palas, is the variation
of correction in 1000 years.² Then, by the Rule of Three, — 1000 years : 406 years :: 188
palas : 76 palas. And 76 palas are gh. 1, p. 16. As the quantities are decreasing ones,
this is to be subtracted from gh. 3, p. 40, for Śaka-Saṁvat 0 expired. And the remainder
gives us, as the sufficiently approximate correction for Śaka-Samvat 406 expired, gh. 2,
p. 24, to be added in (b). Similarly, the correction for the tithi-madhyama-kêndra,
worked out in the same way, is gh. 9, p. 8, to be added in (c).
¹ The decimals in the palas of (a) the abdapa are taken from the ahargaṇa, or total number of
solar days of the solar year, in col. 2.
² Properly speaking, this variation is for Śaka-Saṁvat 500 expired, midway between Śaka-
Saṁvat 0 and 1000. It should be reduced first for the year midway between Śaka-Saṁvat 0 and the
given year; in this instance 406. But there is no absolute necessity for such exact precision.