[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) › c14.81 # The Science of the Shulba: A Study in Early Hindu Geometry c14.81 The Science of the Śulba: A Study in Early Hindu Geometry c14.81 - **Language:** English ### [c14.81](https://indike.org/pramana/ins.science.datta-1932.c14.81) the four rectangles surrounding it, \*viz.\*, \*AFBO\*, \*BGCP\*, \*CHDQ\*, \*DEAR\*, each of which contains three elementary squares. These can again be divided into two groups: one group consisting of nine elementary squares forming the square on the line \*OB\* and another group of a single elementary square on the side \*OA\*. Thus it is proved that $AB² = OA² + OB²$ If the side of each elementary square be one pada, we find a proof of Kātyāyana's first proposition, and if it measures two padas, a proof of his second proposition. - [Previous: c14.80](https://indike.org/pramana/ins.science.datta-1932.c14.80) - [Next: c14.82](https://indike.org/pramana/ins.science.datta-1932.c14.82) - [Up: c14](https://indike.org/pramana/ins.science.datta-1932.c14) --- Source: [https://indike.org/pramana/ins.science.datta-1932.c14.81](https://indike.org/pramana/ins.science.datta-1932.c14.81) · Pramāṇa