Page:Sewell Dikshit The Indian Calendar (1896) proc.djvu/99

1334 − 1333 = 1 = 4m. before the above time (viz., 8 h. 22 m.) i.e., 8h. 26 m. before sunrise. Proceed again.

	a.	b.	c.
For 8 h. 22 m. before sunrise (found above )	1335	943	439
Deduct for 4 m. (Table V.)	1	0
	1216	930	438
Equation for (${\displaystyle b}$) (930) (Table VI.)	80
Equation forDo. (${\displaystyle c}$) (438) (Table VII.)	37
	1333	${\displaystyle =t}$.

The result is precisely the same as the beginning point of the tithi (Table VIII.), and we know that the tithi actually began 8 hours 26 minutes before sunrise on Wednesday, or at 15 h. 34 m. after sunrise on Tuesday, 6th June.

Example ii. Required the week-day and equivalent A.D. of Jyeshṭha śuk. dasamî (10th) of the southern Vikrama year 1836 expired, 1837 current. The given year is not Chaitrâdi. Referring to Table II., Parts ii., and iii., we find, by comparing the non-Chaitradi Vikrama year with the Śaka, that the corresponding Śaka year is 1703 current, that is the same as in the first example. We know that the months are amânta.

	d.	w.	a.	b.	c.
State the figures for the initial day (Table I., cols. 19, 20, 23, 24, 25)	96	4	1	657	267
The number of intervened tithis down to end of Vaiśâkha, 60, (Table III.) + the number of the given date minus 1, is 69; reduced by a 60th part = 68, and by Table IV. we have	68	5	3027	468	186
	164	2	3028	125	453
Equation for (${\displaystyle b}$) 125 (Table VI.)			90
Equation forDo. (${\displaystyle c}$) 453 (Table VII.)			38
			1463	${\displaystyle =t}$.

${\displaystyle (d)(164)-1}$ (N.B. iii., Art. 147) = 163.

The result, 3309, fixes the day as sukla 10th (Table VIII., cols. 2, 3), the same as given.

Answer.—(By Table IX.) 163 = June 12th, 2 = Monday. The year is A.D. 1780 (Table II., Part ii.). The tithi will end at (3333 − 3309 = 24, or by Table X.) 1 h. 42 m. after sunrise, since 3309 represents the state of that tithi at sunrise, and it then had 24 lunation-parts to run. Note that this (${\displaystyle t}$) (3309) is less by 24 than 3333, the ending point of the 10th tithi; that 24 is less than 40; and that the equation for (${\displaystyle b}$) is increasing. This shows that an expunction of a tithi will shortly occur (Art. 142.)

Example iii. Required the week-day and equivalent A.D. of Jyeshtha śukla ekâdaśî (11th) of the same Śaka year as in example 2, i.e., Ś. 1703 current.