Book Title: Ganitasara Sangraha of Mahavira
Author(s): Rangacharya
Publisher: Rangacharya

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Page 449
________________ CHAPTER VII-MEASUREMENT OF AREAS. 247 192). There are 49 hastas in the measurement of the height of a bamboo (as it is growing). It is broken somewhere between (the top and the bottom). The distance (between the fallen top on the floor and the bottom of the bamboo) is 21 hastas. How far away from the foot) is it broken? 1934-1954. The height of a certain tree is 20 hastas. A certain man seated on the top (of it) threw down a fruit thereof along a patkr fornting a hypotenuse. Then another man standing at the foot of the tree went towards that fruit taking a path reprosenting the other side (i.e., the base of the triangle in the situation ) and received that fruit. The sum of the distancos travelled by that fruit and this man turned out to be 50 hastas. What is the numerical value of the hypotonuso representing the path of that fruit? What may be the measure of the other side representing the path of the man who was at the foot of the tree The numerical value (of the height) of a taller pillar as glotho numerical valao (of the height) of a shorter pillar is known. Tho numerical value of the length) of the interveuing space between the two pillars is also kuowl. The taller (of the two pillars) gets broken and falls so that the top thereof rosta ou the top of tho shorter pillar, (the other end of the broken bit of the taller pillar being in contact with the top of the remaining portion thereof). And now the rule for arriving at the numerical value (of tho length) of the broken part of the taller pillar as also at the numerioal value of the height) of the remaining part of the same tailor pillar) : 1961. From the square of the numorical measure of) the taller (pillar), the sum of the square of the measure of the shorter 1981. Il a represents the height of the taller pillar and b that of the aborter pillar,c the length of the intervening proe between them, and a, the height of the standing portion of the broken pillar, then, according to the rule, 452(0-6)

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