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# The Science of the Shulba: A Study in Early Hindu Geometry c15.89

The Science of the Śulba: A Study in Early Hindu Geometry c15.89

- **Language:** English

### [c15.89](https://indike.org/pramana/ins.science.datta-1932.c15.89)

We have already pointed out how the ancient Hindus presumably discovered the rational rectangles which are found in the \*Śulba\* by noting when the square bricks comprising the gnomon added to a square might themselves be arranged again in the form of a square. Observing that the gnomon of one square brick depth put round a square formed with n² such bricks, consists of 2n+1 bricks, they would have only to make a square with 2n+1 bricks.¹

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Source: [https://indike.org/pramana/ins.science.datta-1932.c15.89](https://indike.org/pramana/ins.science.datta-1932.c15.89) · Pramāṇa
