[ 31 ] the moon. As has been said before, he did not know English and had no means of knowing of the existence of the irregularities from any foreign source; and the methods of applying the correc- tions together with diseropancies between his values and those of Europe leave no doubt in our mind that he must be credited with their discovery. He has named the inequalities, Tuigk- ntara, Pákshika, and Digamss, with the maximum amounts of 2° 49', 38' 12", and 12' respectively (VI. 7). For those who may be inclined to compare his corrections, his method of applying them is briefly described here. After the equation of centre (maximum amount 5° 1' 10") has been applied to the mean moon, call the result 1st moon, M1. Then add to, or subtract from it, according as the anomaly happens to be within the first six or the second six signs, 160ʻxsin { A-(0+3) } sin(M1-0) 1st moon motion
- R *mean motion
where A stands for the moon's apogee, and O for the true sun. The two signs (+) are to be taken in the case of the light and dark halves of each lunar month respectively. The result ob tained is called the 2nd moon, Mg. To apply the Pakshika correction, take (gay). Subtract from 3 (signs) and take the less of the two quantities, a and (3 – and say, it is y. Then, singly is the correction required. It should be noted that the denominator (90) is not constant, but can be obtained. The correction is to be added to, or subtracted from the 2nd moon, as the latter lies within the Digitized by Google
