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 487

CHAPTEB 1X.-CALCULATIONS RELATING TO SHADOWS. 286
O yon who have gone to the other shore of the ocean of caloulation, say what (the measure of) the intervening horizontal distance 18 between the style and the lamp.
The rule for arriving at the numerical measure of the height of the lamp (above the floor) :
45. The measure of the (horizontal) distance between the lamp and the style is divided by the shadow of the style. Then) one is added (to the resulting quotient). The quantity no obtained, on being multiplied by the measure of the height of the style, gives rise to the measure of the height of the lamp (above the floor).
An example in illustration thereof. 46-47. The (length of tho) sbadow of the stylo is oxactly twice (its height). The measure of the intervening (horizontal) distance between the style and the lamp is 200 angular. What is the measure of the height of tho lamp (above the floor) in this case Here and also in the foregoing example, the measure of the height of the style has to be understood as consisting of 12 angulas, and then the way in which the meaning of the rulo works out is to be learnt well.
The rule for arriving at the numerical mousuro of the height of a tree, when the measure of the length) of the shadow of a man in terms of (his) foot and the measure of the length of the shadow of the tree in terms of the measure of that same foot are kuown; as also for arriving at the numerical measure (of the length) of the shadow of the tree in terms of that same foot-mtasure, when the anmerical measure of the height of the tree and the numerical measure (of the length) of the shadow of a man in terms of (his) foot are known:
48. The measure (of the length) of the shadow of the tree chosen by a person is divided by (the foot-measure of the length
46. Similarly, o=( + 1) ...
48. This deals with a converse came of the rule given in the latter hall of sans 12 above. The relation between the height of a man and his foot- ARITO I alised in the statomopt of the rule w given here.