[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) › c15.107 # The Science of the Shulba: A Study in Early Hindu Geometry c15.107 The Science of the Śulba: A Study in Early Hindu Geometry c15.107 - **Language:** English ### [c15.107](https://indike.org/pramana/ins.science.datta-1932.c15.107) Proceeding in the same way they could deduce from the general rule for the enlargement of a square, a still general formula for finding rational rectangles. It has been stated in that rule that the gnomon of n bricks depth put round a square of p² bricks will contain 2pn+p² bricks. Supposing $2pn+n² = m²,$ we obtain $p = 1/2n (m²-n²);$ $p+n = 1/2n (m²+n²).$ - [Previous: c15.106](https://indike.org/pramana/ins.science.datta-1932.c15.106) - [Next: c15.108](https://indike.org/pramana/ins.science.datta-1932.c15.108) - [Up: c15](https://indike.org/pramana/ins.science.datta-1932.c15) --- Source: [https://indike.org/pramana/ins.science.datta-1932.c15.107](https://indike.org/pramana/ins.science.datta-1932.c15.107) · Pramāṇa