50 SirgoSiddhanta menting sel28. and its application to the planets is due to the astrolo gical conception of them, as powers which lay hold upon the fates of mes with their supernatural influences. 7. The longitudes of the sun and moon, at the moment of the end of the day of new moon (andiedsggt), are equal, in signs, ete. at the end of the day of full moon (polypands) hey are equal in degrees, etc. at a distance of half the Signs. 8. When aiminished or increased by the proper equation of motion for the time, past or to come, of opposition Or conjunc- tion, they are made to agree, to minutes : the place of the node at the same time is treated in the contrary manner. the very general directions and explanations contained in verses 6, 7, and g seem out of place here in the ruiddle of the chapte, and would have more proporly constituted its introduction . The process prescribed in verse 8, also, which hus for its object the determination of the longitudes of the sun, oon, and moon's nodo, at the moment of opposition or conjunction, ०ught no less, it would appear, to precede the ascertainment of bhe true motions, and of the measures of the disks and shudow already explained. Vorste 8, need, by re ack of connection in which it stands, Ind by the obscurity of its language, furnishes a striking instance of the want of precision and intelligibility so often characteristic of the treatise. The subject of the verse. which requires to be supplied , is, the longitude of the gun and moon at the instant of midnight next preceding or following 8be given opposition or conjunctiop ’; that being the time for which the true longitude and motions are hrst calculatedl, in order to test bhe question of the probability of an eclipeIf there appears to be such a probability he next step is to ascertain the interval between midnight and the moment of opposition ox conjunction, past or to come : Lhis is done by the method ४sught in i. 86, or by some otter analogous procexB: the instant of the occurrence of opposition of conjunction, in local time, counted from sunrise of the place of observation, !must also be determined, hy ascertaining the interval between mean and apparent midnight (i. 46), the length of the complete day (ii. 59), and of its parts (ii, 60-8B), etc.; the whole process is sufficiently illustrated by the two examples of the coulation of eclipses given in bhe Appendix When we have thus found the interval between midnight and the moment of opposition ox conjunction, verse 8 teaches us how to ascertain the true longitudes for that morment : it is by clculating in the manner taught in 1. 87, but with the true daily motions—the rmont of motion of the sun moon, and node during the interval, and applying it as a corrective equation to the longitude of each at midnight, subtracting in bhe case of the Sun and moon, and adding in the case of the node, if the moment was then already past; and the contryif it was
