[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.s1.4 # The Science of the Shulba: A Study in Early Hindu Geometry c19.s1.4 The Science of the Śulba: A Study in Early Hindu Geometry c19.s1.4 - **Language:** English ### [c19.s1.4](https://indike.org/pramana/ins.science.datta-1932.c19.s1.4) A still more general solution of (A) which includes the solution (I) as a particular case, is furnished by the method of transformation of a rectangle into a square. It is this: $(√mn)² + ((m-n)/2)² = ((m+n)/2)²,$ where m, n are any two arbitrary numbers. Substituting p², q² for m, n respectively, in order to eliminate the irrational quantities, we get $p² q² + ((p²-q²)/2)² = ((p²+q²)/2)². (II)$ - [Previous: c19.s1.3](https://indike.org/pramana/ins.science.datta-1932.c19.s1.3) - [Next: c19.s1.5](https://indike.org/pramana/ins.science.datta-1932.c19.s1.5) - [Up: c19.s1](https://indike.org/pramana/ins.science.datta-1932.c19.s1) --- Source: [https://indike.org/pramana/ins.science.datta-1932.c19.s1.4](https://indike.org/pramana/ins.science.datta-1932.c19.s1.4) · Pramāṇa