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# The Science of the Shulba: A Study in Early Hindu Geometry c20.9

The Science of the Śulba: A Study in Early Hindu Geometry c20.9

- **Language:** English

### [c20.9](https://indike.org/pramana/ins.science.datta-1932.c20.9)

In the Śulba, a surd is technically called \*karaṇī\*. Thus \*dvi-karaṇī\*-means √2, \*tri-karaṇī\* =√3, \*tṛtīya-karaṇī\* =√(1/3), \*saptama-karaṇī\* =√(1/7), \*aṣṭādaśa-karaṇī\* =√18, etc.¹ The term was also used in the more general sense of a root. For we have at least one instance of its application in that sense, \*e.g.\*, \*catuṣkaraṇī\* =√4, which is not a surd.² The Sanskrit word \*karaṇī\* means "producer," "that which makes." From that it came to denote the sides of a rectilinear geometrical figure of any shape,³ and then more particularly, the side of a square.

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Source: [https://indike.org/pramana/ins.science.datta-1932.c20.9](https://indike.org/pramana/ins.science.datta-1932.c20.9) · Pramāṇa
