[Pramāṇa](https://indike.org/pramana/) › [Studies](https://indike.org/pramana/ins) › [Science, technology and education](https://indike.org/pramana/ins.science) › [The Science of the Shulba: A Study in Early Hindu Geometry](https://indike.org/pramana/ins.science.datta-1932) › c15.112 # The Science of the Shulba: A Study in Early Hindu Geometry c15.112 The Science of the Śulba: A Study in Early Hindu Geometry c15.112 - **Language:** English ### [c15.112](https://indike.org/pramana/ins.science.datta-1932.c15.112) The early Hindus recognised that fresh rational rectangles can be derived from a known one by multiplying or dividing its sides and diagonal by any rational quantity. In other words, they found that if (p, q, r) be a rectangle, so that $p² + q² = r²,$ then another will be (lp, lq, lr), where l is any rational number, integral or fractional. Āpastamba has, indeed, derived certain new rational rectangles in the same way. He has, however, put the result thus:¹ - [Previous: c15.111](https://indike.org/pramana/ins.science.datta-1932.c15.111) - [Next: c15.113](https://indike.org/pramana/ins.science.datta-1932.c15.113) - [Up: c15](https://indike.org/pramana/ins.science.datta-1932.c15) --- Source: [https://indike.org/pramana/ins.science.datta-1932.c15.112](https://indike.org/pramana/ins.science.datta-1932.c15.112) · Pramāṇa