Page:Sewell Dikshit The Indian Calendar (1896) proc.djvu/102

	d.	w.	a.	b.	c.
(Table I., cols. 19, 20, 23, 24, 23)	83	1	212	899	229
(Coll. dur.) 310 + 15 (śukla paksha) + (1 − 1 =) 0 = 315 tithis = 310 days. (Table IV.)	310	2	4976	250	849
	393	3	5188	149	78
Equation for (${\displaystyle b}$) (149) (Table VI.)			252
Equation forDo. (${\displaystyle c}$) (78) (Table VII.)			32
			5472	${\displaystyle =t}$.

The figure 5472 indicates (Table VIII.) kṛi. 2nd, i.e., not the same as given (1st), but the tithi following. We therefore subtract 1 from (${\displaystyle d}$) and (${\displaystyle w}$) (Art. 139) making them 392 and 2.

Since (${\displaystyle t}$) is not within 40 of the ending point of the tithi, there is no probability of a kshaya or vṛiddhi shortly following or preceding, (${\displaystyle w}$) 2 = Monday. 392 = (Table IX.) 27th January. And therefore 27th January, A.D. 1823, Monday, is the equivalent of the given tithi.

Example viii. Required the week-day and the A.D. equivalent of śukla 13th of the Tuḷu month Puntelu, Kali year 4853 expired, 4854 current, "Aṅgiras samvatsara" in the luni-solar or southern 60-year cycle. (See example 5, page 72.)

The initial day (Table I.) is Old Style 5th March (65), A.D. 1752, a leap-year, (5) Thursday; and Âshâḍha was intercalated. The Tuḷu month Puntelu corresponds to the Sanskrit Pausha (Table II., Part ii.), ordinarily the 10th, but now the 11th, month on account of the intercalated Âshâḍha.

	d.	w.	a.	b.	c.
(Table I., cols. 19, 20, 23, 24, 25)	65	5	39	777	213
(Coll. dur.) 300 + 12 (given tithi minus 1) = 312 tithis = 307 days. (Table IV.)	307	6	3960	142	840
	372	4	3999	919	53
Equation for (${\displaystyle b}$) (919)			71
Equation forDo. (${\displaystyle c}$) (53)			40
			4110	${\displaystyle =t}$.

The result, 4110, indicates śukla 13th, i.e., the same tithi as that given.

${\displaystyle (d)-1}$ (N.B. iii., Art. 147) = 371 = (by Table IX.) January 6th, A.D. 1753.

We must add 11 days to this to make it a New Style date, because it falls after September 2nd, 1752, and before 4th April, 1753, the week-day remaining unaltered (see N.B. ii., Art. 147), and 17th January, 1753 A.D., is therefore the equivalent of the given date.

149. To calculate the week-day and the equivalent date A.D. Turn the given year into a Meshâdi Kali, Śaka, or Vikrama year, and the name of the given month into a sign-name, if they are not already given as such, and find the corresponding year A.D. by the aid of columns 1 to 5, Table I., and Table II., Parts ii., and iii. Looking in Table I. along the line of the Meshâdi year so obtained, write down in a horizontal line the following three quantities corresponding to the