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# The Science of the Shulba: A Study in Early Hindu Geometry c13.s3.14

The Science of the Śulba: A Study in Early Hindu Geometry c13.s3.14

- **Language:** English

### [c13.s3.14](https://indike.org/pramana/ins.science.datta-1932.c13.s3.14)

layers, so that the height of each brick is equal to (5n-1)th part of 4n/5. One-third of the increased altitude is 2n/5 jānus. Next layer of the Fire-altar is constructed with bricks of height 2n/5 jānus. Then the upper portion of this layer is cut off by the diagonal plane as directed. Hence the altitude of the altar is now 6n/5 jānus on the east, 4n/5 jānus on the west ; so that its average altitude is (6n/5+4n/5)/2 or n jānus. This device will be easily recognised to be based on the following approximate formula for calculating the volume of the frustum of a pyramid: If (a, b) be the length and breadth of the rectangular base of the solid, (a', b') the corresponding sides of the face parallel to it and h the height, then

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Source: [https://indike.org/pramana/ins.science.datta-1932.c13.s3.14](https://indike.org/pramana/ins.science.datta-1932.c13.s3.14) · Pramāṇa
