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 472

270
GANITAS BASANGRAHA.
the measures of the breadth at the bottom are respectively) 7, 6 and 5, (the same) at the top being 4, 3 and 2 hastas ; the length is 24 hastas. (Find out the number of brioks in the pile).
The rule for arriving, in relation to a given raised platform (part of) which has fallen down, at the number of bricks found (intaot) in the nnfallen (part) and also at the number of bricks found in the fallen (part) :--
524. The difference between the top (breadth) and the bottom (breadth) is multiplied by the height of the fallen (portion) and divided by the whole height. (To the resulting quotient) the value of the top (breadth) is added. This gives rise to the measure of the basal breadth in relation to the upper (fallen portion) as well as to the top breadth in relation to the lower (intact portion). The remaining operation has been already desoribed.
An example in illustration thereof.
53. (In relation to a raised platform), the length is 12 hastas the breadth at the bottom is 5 hastas, (the breadth) at the top is 1 hasta, and the height all through is 10 hastas. (A measure of) 5 hastas (in height) of that (platform) gets broken down and falls. How many are those (unit) brioks there (in the broken and the un broken parts of the platform) ?
When a (high) fort-wall is broken down obliquely, the rule for arriving at the number of bricks which remain intact and of the brioks that have fallen down :
plane, the breadth of which is 8 hastas at the raisod end and hastas at the other end. Vide diagram in the margin of page 369.
62. The measure of the top.breadth of the standing par of the platform - which is the same as the bottom-breadth of the fallen part of the platformelgebraically 2 + 0; where a in the bottom-broadth, in the topbreadth, the total height and d the height of the fallen part of the rained platform. This formula can be easily shown to be correos by applying the properties of similar triangles.
The operation referred to in the role as having been already doucribed in what in given in stann 4 sbove.