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THE SIXTY-YEAR CYCLE OF JUPITER.
195
JULY, 1889.]
To answer this question, we substitute for the Vikrama year (1445) of the date the corresponding year of the Kaliyuga (4489), obtained by adding 3044; this year of the Kaliyuga (4489) we divide by 85; and we add the quotient to the dividend, counting fractions exceeding as 1, thus (4489 divided by 85 528 53; 4489 +53 4542); dividing the sum (4542) by 60, the remainder will be, approximately, the number which the year we are concerned with holds in the Sixty-Year Cycle, when counted from Vijaya as No. 1; (4542 divided by 60 leaves remainder 42). Where the remainder actually corresponds with the number of the year of the date in the Sixty-Year Cycle, counted from Vijaya, (as is the case in the present instance), the sum previously divided by 60 (here 4542), is the very number sought (here 4542). But where the remainder falls below or exceeds that number (which would have been the case here if the remainder had been 41 or 44), the difference (in the assumed case, either 1 or 2) must be either added to, or subtracted from, the sum (here 4542) divided by 60 (in which case the year sought would have been either 4543 or 4540, respectively).
In the present date, then, Bhava was the 4542nd year of Jupiter from the commencement of the Kaliyuga; and we now find, by the rule given under 2,
(a) for the end of Bhâva without Bija :
361-02672103 x 4542
1639 783-36691826
+588 465-7500
2228 249-1169, i.e. 12th August, A.D. 1388, 2 h. 48.3 m.;
(b) for the end of Bhava with Bija :
361-0346511 x 4542
1639 819-3852962
+588 465-7500
2228 285-1353, i.e. 17th September, A.D. 1388, 3 h. 14.8 m.
The result is, that the year Bhâva, whether without or with Bija, was current at the commencement of the solar year Kaliyuga 4489 (= V. 1445) expired; and that, with Bija, it actually included the day (the 14th September, A.D. 1388) which is mentioned in the inscription.
Second Example.
My manuscript of the Kábiká-Vritti is dated -
Samvat 1464 varshê Ashâḍha-vadi tritiyâyâm tithau Manmatha-samvatsarê Budhê; i.e. 'in the (Vikrama) year 1464, on the third lunar day of the dark half of Ashadha, in (Jupiter's) year Manmatha, on Wednesday.'
Here it so happens that, had the year Manmatha not been mentioned in the date, the corresponding European date might be either,
for the northern expired Vikrama year 1464, by the purnimanta reckoning, Wednesday, 25th May, A.D. 1407, when the third tithi of the dark half ended 5 h. 10 m. after mean sunrise; or - for the southern expired Vikrama year 1464, by the amanta reckoning, Wednesday, 11th July, A.D. 1408, when the third tithi of the dark half ended 11 h. 12 m. after mean sunrise.
In fact, the question as to which of these two dates is the date on which the writing of my MS. was finished, must and can only be decided by the year Manmatha.
Manmaths is the 3rd year of the Sixty-Year Cycle, counted from Vijaya; and proceeding as before, we have: Vikrama 1464 + 3044 Kaliyuga 4508; 4508 divided by 85 = 53'x; 4508 +534561; 4561 divided by 60 leaves remainder 1; this being 2 less than Manmatha
It will be clear from the above that, the first thing to do. is always to substitute for the year of the date the corresponding, year of the Kaliyuga; and in this respect it makes no difference whatever whether, the Vikrama year of a date is a northern or southern year. Should the year of the date be a Saka year, we should also first substitute the corresponding year of the Kaliyuga, obtained by adding 3179; and we should proceed similarly in the case of any other era.
