पृष्ठम्:महाभास्करीयम्.djvu/३०३

218 EXAMPLES This rule is the converse of that stated in chapter IV, stanzas 3-4(i). EXAMPLES Six examples on the shadow of the gnomon : 7. The latitude (of a place) is one and a half degrees minus eight minutes (i.e., 1° 22'); and the midday shadow of the gnomon of 12 añgulas on level ground is 5 angulas. Give out the sun's longitude at noon on that day.¹ 8. Quickly say the longitude of the meridian Sun for the place where the latitude is stated to be 8 degrees minus 16 minutes (i. e., 7° 44') and the midday shadow of the gnomon, 3 and a half (angulas). 9. Quickly say the true longitudes of the Sun for the places where the latitudes are stated to be 25 and 30 degrees respectively and the lengths of the midday shadows (of the gnomon) are equal to the gnomon (itself). 10. Say what is the longitude of the Sun at the place where the latitude is 15 degrees and the prime vertical shadow of (the gnomon due to) the Sun, one and a half angulas to- gether with one-fifth of an angula (i.e., 17/10 angulas).² 11. The prime vertical shadow (of the gnomon) is 37 angulas and the equinoctial midday shadow is 30 angulas. Say the longitude of the universal lamp, the Sun, for its position on the prime vertical. 12. The east-west shadow (of the gnomon) is seen on level ground to be 16 (angulas). The latitude of the place is seven and a half degrees. Say what is the Sun's longitude therë. ¹ The examples set in this and the next two stanzas are based on the rules stated before in chapter III, stanzas 5 and 13-15. The examples set in this and the next two stanzas are based on the rules given before in chapter III, stanzas 5 and 41,