पृष्ठम्:महाभास्करीयम्.djvu/३०९

224 fractions will obviously be whole numbers, and we have only to make (131493125 X-4)/7 a whole number. Let or EXAMPLES 131493125X-4 7 X-4 7 = Y, Z, where Y= 18784732X+Z. Solving this equation, we find that X = 4 makes (131493125X-4)/7 a whole number. Therefore, the required ahargaṇa = 7500+ A 7500++-131493125X = 7500+131493125x4 = 525980000 days. (ii) Ahargaṇa for Friday. In this case, the required ahargana is obviously equal to 7500+131493125×5, i.e., 657473125 days. (iii) Ahargana for Saturday. In this case, the required ahargana 7500+131493125x6 = 788966250 days. 23. The revolutions, etc., of the Sun's (mean) longitude, calculated from an ahargana plus a few naḍis elapsed, have now been destroyed by the wind; 71 minutes are seen by me to remain intact. Say the ahargana, the sun's (mean) longitude, and the correct value of the nadis (used in the calculation).¹ 24-24*. Some number of days is (severally) divided by the (abraded) civil days for the Sun and for Mars. The (resulting) quotients are unknown to me; the residues, too, are not seen by me. The quotients obtained by multiplying those residues by the respective (abraded) revolution-numbers and then divid- ing (the products) by the respective (abraded) civil days are also blown away by the wind. The remainders of the two (divisions) now exist. The remainder for the Sun is 38472; that for Mars, 77180625. From these remainders severally ¹ This example has been solved in Chapter I under stanza 49. See supra, p. 40.