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Shri Mahavir Jain Aradhana Kendra
www.kobatirth.org
Acharya Shri Kailassagarsuri Gyanmandir
286
GANITABĀBABANGRAHA.
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 moasure (of the length) of the shadow of the tree exactly.
An example in illustration thereof. 49. The foot-measur, (of the length) of one's own shadow is 4. The (length of the) shadow of a tree is 100 in terms of the (same) 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 treo then ?
51-523. After going over (a distance of) 8 yojanas (to the east) of a city, there is a hill of 10 yojanas in height. In the city also there is a hill of 10 yojanas in height. After going over (a distance of) 80 3ojanas (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 inbabitants of the city. The shadow of the hill lying at the centre of the city touches the base of the eastern hill. Give out quickly, O mathematician, what the height of this (western) hill is.
Thus ends the eighth subject of treatment, known as Calculations relating to shadows, in Sārasangraha, which is a work on arithmetic by Mahāvīrācārya.
SO ENDS THIS SĀRA SANGRAHA.
51-52. This example is intended to illustrate the rule given in stanga 45 above.
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