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5212/21/8/2/0. When the top digit is divided by seven, the remainder for the day of the week of the year's entry is 2 | 12 | 21 / 8 / 2 / 0. Now, he describes another method for bringing about the year's entry. The constant for the year's lord is 365 / 15 / 31 / 31 / 30 This represents the length of the sidereal year in days, ghatis, and palas. This is multiplied by the elapsed years, 37, resulting in 13514 / 34 / 25 / 30. When the birth weekday and time, 4 | 37 / 53, are added to this, the sum is 13519 / 12 / 18 / 8 / 2 / 0. When the top digit is divided by seven, the remainder for the day of the week of the year's entry is 2 | 12 | 21 / 8 / 2 / 0.
Now, the calculation of the lunar day Tithi: a lunar day, 1/30th of a lunar month. The count of elapsed years, 37, is multiplied by eleven (11), resulting in 407. This is increased by 2, which is the quotient from dividing by its own 170th part, resulting in 409. Then, the 2 elapsed lunar days starting from the bright first day at the time of birth are added, making 411. When divided by thirty, the remainder is 21. This results in the 6th day of the dark fortnight at the year's entry. Because the previously calculated weekday does not fall on this lunar day, but on the next, one (1) is added to this lunar day (21), making 22: the 7th day of the dark fortnight.
In whatever month the birth occurs, the year's entry usually occurs in that same month. Sometimes it occurs in the month before or after the birth month; the proof for that will be stated. When the Sun is exactly equal to the Sun at the time of birth, that month should be known as the month of the year's entry. In the year 1685 of the Vikram Samvat: an Indian calendar era starting in 57 BCE (Shaka era 1550), on the 7th day of the dark fortnight of the month of Magha, on Monday, at 37 Ghatis: a unit of time equal to 24 minutes and 39 Palas: a unit of time equal to 24 seconds; the Hasta Nakshatra is at 17 ghatis and 28 palas; the Sukarma Yoga is at 27 ghatis and 28 palas. On this auspicious day, at 12 ghatis, 18 palas, and 30 vipalas after sunrise, the 38th year begins.
Now, he states the proof for the time of this year's entry:
Because of this reason, the Sun calculated at the time of the year's entry according to the prescribed method is equal—in signs, degrees, minutes, and seconds—to the Sun at the time of birth. This is the proof of the time of the year's entry. An example of this is shown here. The astronomer Ganesha Daivajna, in his work Tajika Bhushana, realized that the Sun at the year's entry does not always come out exactly equal in minutes to the Sun at birth, and so, out of confusion, he mentioned another corrective calculation. That verse says: "When the Shaka year of birth is subtracted from the current Shaka year, the remaining elapsed years are multiplied by sixteen and five..." The text cuts off here, describing a specific mathematical formula from Ganesha Daivajna's treatise.