Page:Sewell Dikshit The Indian Calendar (1896) proc.djvu/117

We may either subtract the value of (${\displaystyle w}$) (${\displaystyle a}$) (${\displaystyle b}$) (${\displaystyle c}$) for two days from their value as already obtained, or may add the value for (206 − 2 =) 204 days to the value at the beginning of the year. We try the latter.

	d.	w.	a.	b.	c.
Chaitra śukla 1st, Śaka 666 current. (Table I., cols. 19, 20, 23, 24, 25)	61	0	289	837	227
204 days (Table IV.)	204	1	9081	403	559
	265	1	9370	240	786
Equation for (${\displaystyle b}$) (240) (Table VI.)			280
Equation forDo. (${\displaystyle c}$) (786) (Do. VII.)			119
		1	9869	${\displaystyle =t}$.

This gives us kṛishṇa amâvâsyâ, (1) Sunday, as required.

${\displaystyle (d)=265=}$ (Table IX.) 22nd September, 743 A.D. (Table I.). From Table XIII. we see that the week-day is right. If the nakshatra Hasta comes right, then this is the given date. We calculate it according to rule.

	t.	c.
As already obtained	9769	786
(${\displaystyle c}$) multiplied by 10		7860
Add constant		7207
		5067
Subtract the equation for (${\displaystyle c}$) (786) (Table VII.)		119
Add (${\displaystyle s}$) to (${\displaystyle t}$)	4948	4948	${\displaystyle =(s)}$
	4717	${\displaystyle =(n)}$

This result gives No. 13 Hasta (Table VIII.) as required.

This therefore is the given date. Its equivalent A.D. is 22nd September, 743 A.D. The data were imaginary. If they had been taken from an actual record they would have proved that mean and not true intercalary months were in use in A.D. 743, because we have found that there was no intercalary month prior to the given month Kârttika. The mean intercalary month in that year (Table I.) was the 9th month, Mârgaśîrsha, and of course Kârttika was unaffected by it.

160(A). See page of Addenda and Errata.

161. The Muhammadan era of the Hijra, or "flight," dates from the flight of Muhammad (Anglicé Mahomet) which took place, according to the Hissabi or astronomical reckoning, on the evening of July 15th, A.D. 622. But in the Helali, or chronological reckoning, Friday, July 16th, is made the initial date. The era was introduced by the Khalif Umar.