Small Manual of Astronomical Computation with the Commentary of Paramesvara

Now, he describes the second operation for the Moon and its velocity Sanskrit: bhukti, meaning daily motion in order to reconcile the calculations with observation for eclipses and other phenomena—
"The Moon's apogee..." The degrees of the Moon's velocity multiplied by the cosine Sanskrit: kotijya of the Sun minus the Moon's apogee becomes the multiplier. This means it is the multiplier for the sine and cosine of the Moon minus the Sun. This is what is meant: subtract the Moon's apogee from the true Sun, determine the positive or negative cosine, and multiply the Moon's true velocity in degrees by that value (expressed in degrees) divided by seven-hundred and thirty-one. Thus multiplied, it becomes a positive or negative multiplier based on the cosine of the Sun minus the Moon's apogee. To what does this multiplier apply? He says—"To the resulting sine and cosine of the Moon minus the Sun." Subtract the true Sun from the true Moon, determine the resulting positive or negative sine Sanskrit: bhujajya and cosine, multiply them separately by the multiplier, divide the sine result by one and the cosine result by five, take the two results in minutes of arc, and apply them to the Moon and its velocity. How so? He says:

When the signs of the results for the Moon and its motion are opposite,
the minutes are subtracted from the Moon and added to the velocity;
if the signs are the same, it is the reverse. || 2 ||

This is what is meant: if one of the sine of the Moon-minus-Sun or the multiplier is positive and the other is negative, the result obtained by dividing the sine of the Moon-minus-Sun by one should be subtracted from the true Moon. If both the multiplier and the sine are simultaneously positive or simultaneously negative, that result should be added to the true Moon. That becomes the corrected Moon. As for the velocity: if one of the cosine of the Moon-minus-Sun or the multiplier is positive and the other is negative, the result obtained by dividing the cosine of the Moon-minus-Sun by five should be added to the true velocity of the Moon. If both the cosine and the multiplier are simultaneously positive or simultaneously negative, that result should be subtracted from the true velocity of the Moon. That becomes the corrected velocity. || 2 ||

By the distance east or west of the north-south line passing through Avanti,
multiply the sixtieth part of the planet's daily motion;
the minutes are subtracted or added. || 3 ||

Now he describes the operation for terrestrial longitude Sanskrit: desantara—"Avanti..." Avanti is a city located on the prime meridian. The line that runs north-south through it, extending from Lanka The traditional Indian zero-point on the equator to Meru 1. Manuscript variant: 'to Meru', is the meridian. The distance in yojanas A traditional unit of distance, roughly 8-13km at which an observer stands to the east or west of that line is known as the longitude yojanas. Multiply the sixtieth part of the planet's daily motion by those longitude yojanas, divide by sixty, and the resulting minutes should be subtracted from or added to the true minutes of the Moon. For others, due to the absence of daily motion—