Page:Sewell Dikshit The Indian Calendar (1896) proc.djvu/101

	d.	w.	a.	b.	c.
(See example 1)	96	4	1	657	267
60 (coll. dur. to end Vaiś.) + 15 + 2 = 77 tithis = 76 days. (Table IV.)	76	6	5736	758	208
	172	3	5737	415	475
Equation for (${\displaystyle b}$) (415) (Table VI.)			211
Equation forDo. (${\displaystyle c}$) (475) (Table VII.)			51
			5999

This indicates kṛishṇa 3rd, the same tithi as given, ${\displaystyle (d)-1=171=}$ 20th June, 1780 A.D.

From these last two examples we learn that kṛishṇa 3rd stands at sunrise on Tuesday 20th as well as Monday 19th. It is therefore a repeated or vṛiddhi tithi, and both days 19th and 20th correspond to it. It ends on Tuesday (6000 − 5999 = 1 =) 4 minutes after sunrise.

Example vi. Required the week-day and A.D. equivalent of Kârṭṭika śukla 5th of the Northern Vikrama year 1833 expired (1834 current). (See example 2, page 70.)

The given year is Chaitrâdi. It matters not whether the month is amânta or pûrṇimânta because the given tithi is in the śukla fortnight. The initial day of the given year falls on (Table I., col. 19) 20th March (80), (col. 20) 4 Wednesday; and looking in Table I. along the line of the given year, we find in col. 8 that the month Bhâdrapada was intercalated or added (adhika) in it. So the number of months which intervened between the beginning of the year and the given tithi was 8, one more than in ordinary year.

	d.	w.	a.	b.	c.
(Table I., cols. 19, 20, 23, 24, 25)	80	4	9841	54	223
(Coll. dur.) 240 + 4 = 244 = 240 days. (Table IV.)	240	2	1272	710	657
	320	6	1113	764	880
Equation for (${\displaystyle b}$) (764) (Table VI.)			0
Equation forDo. (${\displaystyle c}$) (880) (Table VII.)			102
			1215	${\displaystyle =t}$.
This indicates, not kṛi. 5 as given, but kṛi. 4 (Table VIII.)
Adding 1 to (${\displaystyle d}$) and (${\displaystyle w}$) (see Rule above. Art. 139)	321	0

${\displaystyle a-1}$ (N.B. iii., Art. 147) 320 = (Table IX.) Nov. 16th, A.D. 1776. 0 = Saturday.

(${\displaystyle t}$) being not within 40 of the ending point of the tithi there is no probability of a repetition or expunction shortly preceding or following, and therefore Saturday the 16th November, 1776 A.D., is the equivalent of the given tithi.

Example vii. Required the week-day and A.D. equivalent of amânta Mâgha kṛishṇa 1st of Kali 4923 expired, 4924 current. (See example 4, page 71.)

The given year is Chaitrâdi. Looking in Table I. along the line of the given year, we see that its initial day falls on 24th March (83), 1822 A.D., 1 Sunday, and that (col. 8) the month (7) Âśvina was intercalated and (10) Pausha expunged. So that, in counting, the number of intervened months is the same, viz., 10, as in an ordinary year, Mâgha coming after Pausha.