Page:Sewell Dikshit The Indian Calendar (1896) proc.djvu/107

is the required month; if the added month is the same as the resulting month, the date belongs to that added month itself; and if the resulting month comes earlier than the added month, the result is not affected.

When there is a suppressed month in the year, if it is the same as, or prior to, the resulting month, the month next following the resulting month is the required month. If it is subsequent to the resulting month the result is not affected. If the resulting month falls after both an added and suppressed month the result is unaffected.

From the date in a Chaitrâdi year thus found, any other Hindu year corresponding to it can be found, if required, by reference to Table II., Parts ii., and iii.

The tithi thus found is the tithi corresponding to the given date A.D.; but sometimes a tithi which is current at any moment of an A.D. date may be said to be its corresponding tithi.

N.B. i. See N.B. ii.. Art. 147; but for "+ 11" read "− 11".

N.B. ii. If the given A.D. date falls in a leap-year after 29th February, or if its date-number is more than 365 (taken from the right-hand side of Table IX.) and the year next preceding it was a leap-year, add i to the date-number before subtracting the date-indicator from it.

Example xv. Required the tithi and month in the Saka year corresponding to 7th June, 1780 A.D.

The Śaka year corresponding to the given date is 1703 current. Its initial day falls on (4) Wednesday, 5th April, the date-indicator being 96.

			w.	a.	b.	c.
(Table I., cols. 20, 23, 24, 25)			4	1	657	267
7th June =	158	(Table IX.)
Add	+1	for leap-year (N.B. ii.)
	159
Deduct	96	the (${\displaystyle d}$) of the initial date (Table I., col. 19).
Days that have intervened	63.	By Table IV. 63 =	0	1334	286	172
			4	1335	943	439
Equation for (${\displaystyle b}$) (943) (Table VI.)				90
Equation forDo. (${\displaystyle c}$) (439) (Table VII.)				38
			4	1463	${\displaystyle =t}$.

Śukla 5th (Table VIII.) is the required tithi, and (4) Wednesday is the week-day. Now 63 + ⁠63/60⁠ = ⁠64+3/60⁠. The next lowest number in col. 3, Table III., is 60, which shows Vaiśâkha to be the preceding month. Jyeshṭha is therefore the required month.

Answer.—Śaka 1703 current, Jyeshṭha śukla 5th, Wednesday.

If the exact beginning or ending time of the tithi is required, proceed as in example 1 above (Art. 148.)

We have seen in example 1 above (Art. 148) that this Jyeshṭha 5th ended, and śukla 6th commenced, at 13 h. 11 m. after sunrise on the given date; and after that hour śukla 6th corresponded with the given date. Śukla 6th therefore may be sometimes said to correspond to the given date as well as śukla 5th.

Example xvi.—Required the tithi and month in the southern Vikrama year corresponding to 12th September, 1776 A.D.