FINDING THE RESIDUE OF REVOLUTIONS The pulveriser may be written as ax-c b = y ax-1 aX=1= Y, b or (2) = CY. where x = cX, and y If X = d, Y = ß is a solution of (2), then x cd, y = cß will be a solution of (1). Hence the above rule.¹ A rule for finding the residue of revolutions from the longi- tude of a planet given in signs, etc.: 46(ii). (In case the longitude of a planet is given in terms of signs, etc.,) the signs, etc., are multiplied by the abraded number of civil days (in a yuga) and the product is divided by the number of signs, etc., (in a circle). The quotient is stated to be the residue (of revolutions). When the longitude is given in terms of signs, it should be multi- plied by the abraded number of civil days in a yuga and then the product should be divided by 12. The quotient thus obtained should be used as the residue of revolutions. When the longitude is given in terms of signs and degrees, it should be reduced to degrees, then the resulting degrees should be multiplied by the abraded number of civil days in a yuga and the product should be divided by 360. The quotient should be treated as the residue of revolutions. When the longitude is given in terms of signs, degrees, and minutes, it should be reduced to minutes, then the resulting minutes should be multiplied by the abraded number of civil days in a yuga and the product should be divided by 21600. The quotient should be used as the residue of revolutions. (abraded rev.-number) x- 33 : Let x be the ahargana, y the revolutions performed by a planet, and s signs the given residue. Then (abraded revolution-number) x abraded civil days (1) -s signs = y, (abraded civil days) s 12 abraded civil days ¹ For illustration see Example under stanza 46 (ii). = y.
