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286
GANITASĀRABANGRAHA.
of) his own shadow, and then it is multiplied by seven : this gives rise to the 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 inoasure (of the length) of the shadow of the tree exaofly.
An example in illustration thereof. 49. The foot-measury (of the length) of one's own shadow is t. I'he (length of the shadow of a tree is 100 in terms of the (samo) foot-measure. Say what the height of that tree is in terms of the measure of one's own foot.
An example for arriving at the numerical measure of the shadow
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 height of a tree is 175 (in terms of such a foot-measure). What is the measure of the shadow of the tree then P
51-52. After going over (& distance of) 8 yojanas (to the east) of a city, there is a hill of 10 yojanas in height. In the city glso there is a bill of 10 yojanas in height. After going over (a distanou of) 80 3ojanas (from the eastern bill to the west, there is another hill. Lights on the top of this (last mentioned hill) are seen at nights by the inhabitants of the city. The shadow of the hill lying at the centre of the city touches the base of the eastern bill. Give out quickly, O mathematician, what the height of this (western) bill is.
Thus ends the eighth subject of treatment, known as Calculations relating to shadows, in Särasangraha, which is a work on arithmetic by Mahāvirācārya.
80 ENDS TAIS 8 ĀRASANGRA RA.
61-685. This example is intended to illustrato the rulo given in stanna 46
above.
