Page:Sewell Dikshit The Indian Calendar (1896) proc.djvu/111

Example xx. Required the week-day and Bengali date at Calcutta corresponding to March 3rd, 1855 A.D. The Sûrya-​Siddhânta is the authority in Bengal. The given day is earlier than the Mesha saṅkrânti in the year given. We must take therefore as our starting-point the Mesha saṅkrânti of the previous year, which falls on 11th April (101), Tuesday, (3) Śaka 1777 current, A.D. 1854.

			d.	w.	h.	m.
(Table I., cols. 13, 14, 17a)			101	3	17	13
Difference of longitude for Calcultta						+ 50
March 3rd, 1855 =	427	(Table IX.)
Deduct (${\displaystyle d}$) of the initial day	101
Intervening days	326
The number next below 326, (Table III., col. 9), for the end of Makara and beginning of Kumbha is			305	4	2	2
The astronomical beginning of Kumbha, after midnight on Saturday =			406	0	20	5
The civil beginning falls on the third day, Monday (Art. 28). We add therefore 1 to (${\displaystyle d}$) and (${\displaystyle w}$)			1	1
The last civil day of Makara =			407	1
Subtract (${\displaystyle d}$) 407 from date number of 3rd March			427
Remainder 20, and the required date is 20th Kumbha.			20
Add 20 to (${\displaystyle w}$) casting out sevens				6
The required week-day is Saturday				0

The Bengali month corresponding to Kumbha is Phâlguna (Table II., Part ii.).

Answer.— The 20th day of Phâlguna, Saturday, Śaka, 1776 expired. (See example x above.)

Example xxi. Required the South Indian solar dates equivalent to 2nd September, 1848 A.D. The corresponding Meshâdi Śaka year (current) is 1771. It commenced on 11th April (102), Tuesday (3).

			d.	w.	h.	m.
(Table I., cols. 13, 14, 17)			102	3	1	30
2nd September =	245	(Table IX.)
Add 1 for leap-year	1
Date-number of the given day	246
Deduct (${\displaystyle d}$) of the initial day	102
Intervening days	144
The number next below 144, (col. 7, Table III.), for the end of Karka and beginning of Siṁha is 125, and we have			125	6	9	38
The astronomical beginning of Siṁha is			227	2	11	8

This is the civil beginning by one of the Southern systems.