Page:Sewell Dikshit The Indian Calendar (1896) proc.djvu/88
Example 5. Required the A.D. equivalent of Pausha śukla trayôdaśî (13th) K.Y. 4853 expired, Aṅgiras samvatsara in luni-solar or southern reckoning. This is K. Y. 4854 current.
The year (Table I., col. 5) is A.D. 1752, a leap-year. The initial date (cols. 19, 20) is 5th March (65), (5) Thursday. The month Âshâḍha was intercalated. Therefore the given month (Pausha) must be treated, for collective duration, as if it were the succeeding month Mâgha.
| d. | w. | |||
| Initial date | 65 | 5 | ||
| Collective duration (Table III., col. 3a) | 295 | 295 | ||
| Given date (13) − 1 | 12 | 12 | ||
| 372 | ||||
| − 1 | (Rule VI.) | |||
| 371 | 312 | ÷ 7, Rem. 4. | ||
We must add eleven days to the amount 371 to make it a New Style date, because it falls after September 2nd, 1752, and before 4th April, 1753, (after which all dates will be in New Style by the Tables). 371 + 11 = 382 = January 17th (Table IX.). 4 = Wednesday.
Answer.—Wednesday, January 17th, A.D. 1753.
Example 6. Required the A.D. equivalent of Vikrama samvatsara 1879 Âshâḍha kṛishṇa dvitîyâ (2nd). If this is a southern Vikrama year, as used in Gujarât, Western India, and countries south of the Narmadâ, the year is Kârttikâdi and amânta, i.e., the sequence of fortnights makes the month begin with śukla 1st. The first process is to convert the date by Table II., Part iii., col. 3, Table II., Part ii., and Table I., into a Chaitrâdi year and month. Thus—Âshâḍha is the ninth month of the year and corresponds to Âshâḍha of the following Chaitrâdi Kali year, so that the given month Âshâḍha of Vikrama 1879 corresponds to Âshâḍha of Kali 4924. Work as before, using Table I. for Kali 4924. Initial date, 24th March (83), (1) Sunday.
| d. | w. | |||
| Initial date | 83 | 1 | ||
| Collective duration (Table III., col. 3a) | 89 | 89 | ||
| Given date (2 + 15) − 1 | 16 | 16 | ||
| 188 | 106 | ÷ 7 Rem. 1 | ||
| 188 (Table IX.) = July 7th. 1 = Sunday. | ||||
Answer.—Sunday, July 7th, A.D. 1822.[1]
If the year given be a northern Vikrama year, as used in Mâlwa, Benares, Ujjain, and countries north of the Narmadâ, the Vikrama year is Chaitrâdi and corresponds to the Kali 4923, except that, being pûrṇimânta, the sequence of fortnights differs (see Table II., Part i.). In such a case Âshâḍha kṛishṇa of the Vikrama year corresponds to Jyeshṭha kṛishṇa in amânta months, and we must work for Kali 4923 Jyeshṭha kṛishṇa 2nd. By Table I. the initial date is April 3rd (93), (3) Tuesday. The A.D. year is 1821—22.
- ↑ This is actually wrong by one day, owing to the approximate collective duration of days (Table III, 3a) being taken as 89. 11 might equally well be taken as 88. If it is desired to convert tithis into days (p. 75. note 2) a 64th part should be subtracted. The collective duration of the last day of Jyeshṭha in tithis is 90. 90 ÷ 64 = 1.40. 90 − 1.40 = 88.60. If taken as 88 the answer would be Saturday, July 6th, which is actually correct. This serves to shew how errors may arise in days when calculation is only made approximately.