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# The Science of the Shulba: A Study in Early Hindu Geometry c22.18

The Science of the Śulba: A Study in Early Hindu Geometry c22.18

- **Language:** English

### [c22.18](https://indike.org/pramana/ins.science.datta-1932.c22.18)

A square is generally called \*sama-caturasra\* (\*sama\* = "equal"). It is oftentimes, of course when there is no chance of ambiguity the context being clear, shortened into \*caturasra\*,¹ and occasionally even into simple \*sama\*.² Thibaut is responsible for the opinion that in the term \*sama-caturasra\*, the word \*sama\* refers to the equality of four sides and \*caturasra\* implies that the four angles of the figure are right angles.³ A more plausible interpretation would be that \*sama\* refers to the form or shape of the figure which is to be the same in every respect, \*caturasra\* implying a quadrangle or quadrilateral. It will then be consistent with the term \*dīrgha-caturasra\* for the rectangle,⁴ which signifies that the form of the \*caturasra\* is in this case \*dīrgha\* (or "longish"). The rectangle is sometimes called in short the \*dīrgha\*.⁵ The term for a quadrilateral of unequal sides is the \*viṣama-caturasra\* (literally, "inequilateral quadrilateral"). But in contradistinction from the \*sama-caturasra\* or the square, that term may denote also the rectangle.⁶

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Source: [https://indike.org/pramana/ins.science.datta-1932.c22.18](https://indike.org/pramana/ins.science.datta-1932.c22.18) · Pramāṇa
