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 474

272
GANITASABASANGRAHA.
(happening to be the diminution in breadth) on both the aides (of the wall in passing from below upwards) ;——
57. The height (of the central section) divided by the height of the given brick gives rise to the (required) measure of the layers (of bricka). This (number) is diminished by one and (then) divided by the difference between the top (breadth) and the bottom (breadth). The resulting quotient gives (in itself) the value of the (rate of the) diminution (in breadth) measured in terms of the layers.
Examples in illustration thereof.
58. The breadth of a high fort-wall is 7 hastas at the bottom Its height is 20 hastas. It is built so as to have 1 hasta (as its breadth) at the top. With the aid of bricks of 1 hasta in height, (find out) the (measure of the) growth of the (central) layers and of the (rate of) diminution (in the breadth).
59-60. In a regularly circular well, 4 hastas in diameter, a wall of 1 hastas in thickness is built all round by means of (the already mentioned typical) bricks. The depth of that (well) is 3 hastas. If you know, calculate and tell me, () friend, how many are the bricks used in the building.
In relation to a structure built of brioks (around a place), the rule for arriving at the value of the cubical contents (of that structure), when the breadth at the bottom (of the structure) is given and also the breadth at the top:--
61. Twice the (average) thickness of the structure has added to it the given length and the breadth (of the place). The sum (so obtained) is doubled, and the result is the (total) length (of the structure when it is) in (the form of) an oblong. This (resulting quantity), multiplied by the (given) height and the (already mentioned average) thickness, gives rise to the (required) cubical measure).
59-60. The bricks contemplated here is the unit brick mentioned in stanza 48 above. This problem does not illustrate the rule given above in stanza 57. but it has to be worked according to the rales giran in stanzas 191-20) and 444 of Chis chapter.