Page:Sewell Dikshit The Indian Calendar (1896) proc.djvu/106

	d.	w.	a.	b.	c.
S. 1188, Chaitra ś. 1st (Table I., cols. 19, 20, 23, 24, 25)	79	6	288	879	265
Approximate number of days from Ch. ś. 1st to Jyesh. kṛi. 13th (87 tithis reduced by 60th part = 86) with its (${\displaystyle w}$) (${\displaystyle a}$) (${\displaystyle b}$) (${\displaystyle c}$) (Table IV.)	86	2	9122	121	235
	165	1	9409	0	500
Equation for (${\displaystyle b}$) (0) (Table VI.)			140
Equation forDo. (${\displaystyle c}$) (500) TableVII.)			60
			9609	${\displaystyle =t}$.
The resulting number 9609 fixes the tithi as kṛishṇa 14th (Table VIII., cols. 2, 3), i.e., the tithi immediately following the given tithi. There is no probability of a kshaya or vṛiddhi shortly before or after this (Art 142). Deduct, therefore, 1 from (${\displaystyle d}$) and (${\displaystyle w}$)	1	1
	164	0

164 = (Table IX.) 13th June; 0 = Saturday.

Answer.—13th June, 1265 A.D., Saturday, (as required).^[1]

151. Given a year, month, and date A.D., write down in a horizontal line (${\displaystyle w}$) the weekday number, and (${\displaystyle a}$), (${\displaystyle b}$), (${\displaystyle c}$) (Table I., cols. 20, 23, 24. 25) of the initial day (Chaitra ś. 1) of the Hindu Chaitrâdi (Śaka) year corresponding to the given year; remembering that if the given date A.D. is earlier than such initial day, the (${\displaystyle w}$) (${\displaystyle a}$) (${\displaystyle b}$) (${\displaystyle c}$) of the previous Hindu year^[3] must be taken. Subtract the date-indicator of the initial date (in brackets. Table I., col. 19) from the date number of the given date (Table IX.), remembering that, if the initial day of the previous Hindu year has been taken, the number to be taken from Table IX. is that on the right-hand side, and not that on the left (see also N.B. ii. below). The remainder is the number of days which have intervened between the beginning of the Hindu year and the required date. Write down, under their respective heads, the (${\displaystyle w}$) (${\displaystyle a}$) (${\displaystyle b}$) (${\displaystyle c}$) of the number of intervening days from Table IV., and add them together as before (see rules for conversion of luni-solar dates into dates A.D.). Add to (${\displaystyle a}$) the equation for (${\displaystyle b}$) and (${\displaystyle c}$) (Tables VI., VII.) and the sum (${\displaystyle t}$) will indicate the tithi (Table VIII.) at sunrise of the given day; (${\displaystyle w}$) is its week-day. To the number of intervening days add its sixtieth^[4] part. See the number of tithis next lower than this total^[5] (Table III., col. 3) and the lunar month along the same line (col. 2). Then this month is the month preceding the required month, and the following month is the required month.

When there is an added month in the year, as shown along the line in col. 8 or 8a of Table I., if it comes prior to the resulting month, the month next preceding the resulting month