Page 15

With Language Commentary

...from the past and future movements of their own rising. Multiply the remainder by thirty and divide by the "impure" original: "ashuddha" - referring to the divisor in the calculation to find the degrees and so on. ||22|| In the difference between the impure and pure, subtract or add the degrees of the precession of the equinoxes. Thus, using the rising times at Lanka, the elapsed and remaining portions are to be purified from the time in palas. ||23||

Add the degrees of the precession of the equinoxes Ayanamsha: the longitudinal difference between the tropical and sidereal zodiacs to the instantaneous clear position of the Sun. The sign following the resulting sign is its own rising the zodiac sign currently rising on the horizon. The remaining degrees and so on are considered "elapsed" Bhukta: the portion of the sign already passed. By subtracting these from thirty, the "remaining" portions Bhogya: the portion of the sign yet to rise are found.

Multiply these remaining or elapsed portions in three separate places by the local rising-interval Lagnakhanda: the time it takes for a specific zodiac sign to rise at a particular latitude of that same sign and divide by thirty. The resulting units in Pala: a unit of time equal to 24 seconds are the elapsed or remaining portions of the Sun. That is, if you multiply the elapsed degrees by the rising-interval, the result of the division by thirty is called "elapsed"; if done with the remaining degrees, it is called "remaining."

Subtract these palas from the desired time Ishta Ghati: the specific time since sunrise for which the chart is being cast converted into palas. From the remainder, continue subtracting the subsequent rising-intervals one by one. The rising-interval that cannot be subtracted is designated as "impure" Ashuddha. Multiply the remainder of that subtraction by thirty and divide by that "impure" rising-interval; the result is in degrees and so on. Place the number of signs corresponding to the rising-intervals previously subtracted before these resulting degrees. This is the sequence for the "remaining" method. In the "elapsed" method, subtract from the impure and then subtract the precession of the equinoxes; this results in the clear Ascendant Lagna Spashta: the exact longitude of the rising sign.

Example: Samvat 1943, Vaisakha Krishna Dwadashi, Saturday. Desired time: 13 Ghatis, 54 Palas. Clear Sun: 0s 18° 42' 31". Added precession Ayanamsha: 22° 44'. The result is 1s 11° 26' 31"; this is the Tropical Sayana Sun. Here, the 1 sign indicates Taurus is the rising sign. The remaining degrees etc., 11° 26' 31", are "elapsed." Subtracting from thirty gives 18° 33' 29" as the "remaining" degrees.

Now these must be multiplied by the rising-interval segments. The method for rising-intervals is as follows: the rising times at the equator Lankodaya are 278, 299, and 323 in order, and 323, 299, 278 in reverse order. To these, add the ascensional difference segments Chara-khanda of the desired location in one sequence and subtract them in the other to find the local rising-intervals. For example, the equinoctial shadow Palabha of Srinagar is 7.0 (multiplied by three and ten by the serpents— The text cuts off here, likely referencing a mnemonic verse for calculation