[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) › c19.s2.12 # The Science of the Shulba: A Study in Early Hindu Geometry c19.s2.12 The Science of the Śulba: A Study in Early Hindu Geometry c19.s2.12 - **Language:** English ### [c19.s2.12](https://indike.org/pramana/ins.science.datta-1932.c19.s2.12) Now the physical circumstances of the problem are such that x and y must be positive integers. Therefore if m \> n $m² \> 21 \> n²$ or $m \> √21 \> n.$ Since $5 \> √21 \> 4$ therefore we must have $m ≥ 5, n ≤ 4.$ If on the contrary m \< n, we must have $n² \> 21 \> m²$ Hence $n ≥ 5, m ≤ 4.$ - [Previous: c19.s2.11](https://indike.org/pramana/ins.science.datta-1932.c19.s2.11) - [Next: c19.s2.13](https://indike.org/pramana/ins.science.datta-1932.c19.s2.13) - [Up: c19.s2](https://indike.org/pramana/ins.science.datta-1932.c19.s2) --- Source: [https://indike.org/pramana/ins.science.datta-1932.c19.s2.12](https://indike.org/pramana/ins.science.datta-1932.c19.s2.12) · Pramāṇa