RISING POINT OF THE ECLIPTIC radius and then divide (the resulting product) by the day- radius as multiplied by (the length of) the gnomon. From that the process for the determination of the (desired time in) nādis is the same as before. 81 The first rule is the converse of the rule given in stanzas 18-20; the second rule is the converse of that given in stanza 23; and the third rule is the converse of that stated in stanza 24. A rule for finding the longitude of the rising point of the ecliptic with the help of (i) the instantaneous sayana longitude of the Sun and (ii) the civil time measured since sunrise, or with the help of (i) the Sun's sayana longitude at sunrise and (ii) the sidereal time elapsed since sunrise : 30-32. Multiply by the untraversed portion of (the sign occupied by) the Sun, the asus of the oblique ascension (i.e., the time, in asus, of rising at the local place) of that sign and divide (that product) by the number of degrees or minutes in a sign (i.e., by 30 or 1800) (according as the untraversed portion of the Sun's sign is taken in degrees or minutes). Thus are obtained the asus of the oblique ascension of the untraversed. portion of the sign occupied by the Sun. Subtract these from the given (time as reduced to) asus; and add the untraversed portion of the Sun's sine to the Sun's longitude (which is given). Then from the remaining asus subtract the asus of the oblique ascension of as many (succeeding) signs as possible; and add the same number of signs to the Sun's longitude. Then multiply the outstanding residue of the given (time in) asus by 30 and divide (the product) by the asus of the oblique ascension of the next sign. Add the resulting degrees, etc., to the Sun's longitude (obtained above). The resulting longitude is stated to be the (sayana) longitude of the rising point of the ecliptic.¹ ¹ This rule in found also in SuSi, iii. 46-48; BrSp.Si, iii. 18-20; L.Bh, iii. 17-19; SiDV, I, iii. 11-12; Siśe, iv. 18-19(i); Sisi, I, iii. 2-4. The rising point of the ecliptic is that point of the ecliptic eastern horizon. lies on the
