286 ANTAARABANGRAHA of) his own shadowand then it is multiplied by seven : this gives rise to bhe height of the tree. This (height of the tree) divided by seven and multiplied by the foot-measure of his shadow surely gives rise to the neasure of blue length) of the shadow of the ta9a exactly. An example in Justration phereof. 49. The foot-measurs (of the length) of one's own shadow ie 4 The (length of the) shadow of a tree is 100 in terms of the (&ame) foot-measure. Say what the height of that three is in terms of the measure of one's own foot. An example for writing at the numerical .of he shudon of a tree. 50. The measure (of the length) of one's own shadow (at the time) is 4 times the measure of (one's own) foot. The hoight of a tree is 175 (in terms of such a foot-measure). What is the measure of the shadow of the tree then ? 51-52. After going over (a distance of) 8 yoyuna8 (to the east) of a city, there is a hill of 10 yoyuwa8 in height. In the city also there is a hill of 10 ybjdunas in height. After going over (a distance of) 80 ९५%jannas (from the eastern hill to the west, there is another hill. Lights on the top of this (last mentioned hill) are seen at nights by the inhabitants of tho oity. The shadow of bhe hill lying at the centre of the city touches the base of the eastern hill. Give out quickly, 0 mathematician, what the height of this (western) hill is. Thus ends the eighth subject of treatment, known as Calculations relating to shadows, in Sarasangraha, which is a work on arithmetic by Mahaviracarya. SO ENDS THIS SARASANGRAHA. 51-52}. This example is intended to illustrate the rule given in stana 45 above.
