That is THE TEN RSINES Rsin x Rsin € Rcos 159 Sun's udayajyā where is the sayana longitude of the rising point of the ecliptic, € the greatest declination of the Sun, and the latitude of the place.¹ The Sun's udayajyā is the Rsine of that part of the local horizon which lies between the east point and the rising point of the ecliptic. It is equal to the Rsine of the agrā of the rising point of the ecliptic and is, therefore, also known as udayalagnāgrā or simply lagnagrā. A rule for finding the Moon's udayajya: 14-16(i). The Rsine of (the longitude of) the rising point of the ecliptic minus (the longitude of) the Moon's ascending node, multiplied by 15 and divided by 191, is the Rsine of the (Moon's) latitude corresponding to the rising point of the ecliptic. When the declination and (Moon's) latitude corresponding to the rising point of the ecliptic are of like direction, take their sum; in the contrary case, take their difference. The radius multiplied by the Rsine of the resulting arc (of the sum or difference) and then divided by (the Rsine of) the colatitude gives the the Moon's udayajyā. The Moon's udayajya is the Rsine of that part of the local horizon which lies between the east point and the rising point of the Moon's orbit. Rules for finding the madhyajyas of the Sun and the Moon: 16(i)-18. Calculate the Rsine of the celestial latitude (of the Moon) from the longitude of the meridian-ecliptic point minus the longitude of the Moon's ascending node. 1 The rationale of this rule is similar to that of the Sun's agrā. See stanza 37 of Chapter III. 2 This rule is approximate as the declination of the rising point of the Moon's orbit is not exactly equal to the sum or difference of the declination and Moon's latitude corresponding to the rising point of the ecliptic.
