[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) › c15.109 # The Science of the Shulba: A Study in Early Hindu Geometry c15.109 The Science of the Śulba: A Study in Early Hindu Geometry c15.109 - **Language:** English ### [c15.109](https://indike.org/pramana/ins.science.datta-1932.c15.109) This formula follows also from the method of the transformation of a rectangle into a square, which is commonly found in all the works on the \*Śulba\*. If p, q be the length and breadth of the rectangle to be transformed, it has been stated that the equivalent square will be given by the difference of the two squares ((p+q)/2)² and ((p-q)/2)². Thus $pq + ((p-q)/2)² = ((p+q)/2)².$ - [Previous: c15.108](https://indike.org/pramana/ins.science.datta-1932.c15.108) - [Next: c15.110](https://indike.org/pramana/ins.science.datta-1932.c15.110) - [Up: c15](https://indike.org/pramana/ins.science.datta-1932.c15) --- Source: [https://indike.org/pramana/ins.science.datta-1932.c15.109](https://indike.org/pramana/ins.science.datta-1932.c15.109) · Pramāṇa