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# The Science of the Shulba: A Study in Early Hindu Geometry c17.55

The Science of the Śulba: A Study in Early Hindu Geometry c17.55

- **Language:** English

### [c17.55](https://indike.org/pramana/ins.science.datta-1932.c17.55)

If the number of square puruṣas (m) to be added to the original area of the Agni (7½ square puruṣas), be an exact multiple or submultiple of it, the geometrical operations are much simplified. For if m = n × 7½, where n may be integral as well as fractional, then the length of the new unit will be easily obtained to be equal to √(1+n) puruṣa. Thus it is the (1+n)th \*karaṇī\* of a puruṣa, as has been stated by all the Śulbakāras.

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Source: [https://indike.org/pramana/ins.science.datta-1932.c17.55](https://indike.org/pramana/ins.science.datta-1932.c17.55) · Pramāṇa
