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# The Science of the Shulba: A Study in Early Hindu Geometry c19.s2.20

The Science of the Śulba: A Study in Early Hindu Geometry c19.s2.20

- **Language:** English

### [c19.s2.20](https://indike.org/pramana/ins.science.datta-1932.c19.s2.20)

Āpastamba uses square bricks of five different varieties for the construction of the same \*Agni\*. So his problem will be represented algebraically by the equations $.x/m+y/n+z/p+u/q+v/r &= 7½, / x+y+z+u+v &= 200 ; (C)$ where \*m\*, \*n\*, \*p\*, \*q\*, \*r\* are perfect squares. Āpastamba's statement of his method of solution, partly explained in detail and partly hinted, is not free from ambiguity.¹ Consequently it has been interpreted differently by his different commentators leading consequently to several solutions. According to Karavindasvāmī, the two solutions of (C) will be

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Source: [https://indike.org/pramana/ins.science.datta-1932.c19.s2.20](https://indike.org/pramana/ins.science.datta-1932.c19.s2.20) · Pramāṇa
