Ganitasara Sangraha of Mahavira

SR No.: 011112
Original Sutra Author: N/A
Author: Rangacharya
Publisher: Rangacharya
Publication Year: 1912
Total Pages: 531
Language: English
Classification: Book_English
File Size: 24 MB

Page 485

CHAPTER IX-CALOULATIONS RELATING TO SHADOWS.
283
square of the (given) shadow. This (remainder) is to be multiplied by the sum of the square of the human shadow and one. (The quantity so arrived at) is to be subtracted from the square of the (given) shadow. The square root of this resulting romainder) is to be subtracted from the (given) measure of the shadow; and, whon (the quantity thus obtained is) divided by the sum of) one and the square of the human shadow, there results oxactly the measure of the inclination of the pillar.
An exumple in illustration thereuf. 34. The human shadow (at the time) is twioe (the human height). Tho shadow of a pillar, 13 hastas in height, in 29 (hastas). What is the measure of the slanting of the pillur horo?
(General Examples). 35-37. A certain prince, staying in the interior of x polaco, was, (at a certain moment) in the course of a forenvon, desirous of knowing the time elapsed in the course of the day, as also the measure of the human shadow (in terms of the human height). Then, the light of the sun coming throngh a window at a height of 32 hastas in the middle of the eustern wall fell at a place on the western wall at the height of 29 hastas. The distance between those two walls is 24 hastas. O mathon aticiun, if you havo taken paine (to acqnaint yourself) with shadow-problems, calculate and give out the measure of the time clapsed then, on that day, and also the measure of the human shadow (at that time in terms of the human height).
381-391. At the time when, in the course of a forenoon, the human shadow is twice the human height, what, in relation to a (vertical excavation of) square (sectiou) measuring 10 hantar in cach dimension, will be the height of the shadow on the westorn wall caused by the eastern wall (thereof) ? O matbomatician, give out, if you know, how you may arrive at the value of the shadow that has ascended up (a perpendicular wall).
86-874. This example beurs on the roles given in stanza 84 and 28 abovo.
381-391. This exau ple has to be worked out according to the tale giron in tann 91 above.