[Pramāṇa](https://indike.org/pramana/) › [Studies](https://indike.org/pramana/ins) › [Science, technology and education](https://indike.org/pramana/ins.science) › [Indian Mathematics](https://indike.org/pramana/ins.science.kaye-1915) › c5.8 # Indian Mathematics c5.8 Indian Mathematics c5.8 - **Language:** English ### [c5.8](https://indike.org/pramana/ins.science.kaye-1915.c5.8) Kātyāyana gives no such rational examples but gives (with Āpastamba and Baudhāyana) the hypotenuse corresponding to sides equal to the side and diagonal of a square, \*i.e.\*, the triangle a, a√2, a√3, and he alone gives 1²+3²=10, and 2²+6²=40. There is no indication that the \*Śulvasūtra\* rational examples were obtained from any general rule. Incidentally is given an arithmetical value of the diagonal of a square which may be represented by $√2 = 1 + ⅓ + 1/3.4 - 1/3.4.34.$ - [Previous: c5.7](https://indike.org/pramana/ins.science.kaye-1915.c5.7) - [Next: c5.9](https://indike.org/pramana/ins.science.kaye-1915.c5.9) - [Up: c5](https://indike.org/pramana/ins.science.kaye-1915.c5) --- Source: [https://indike.org/pramana/ins.science.kaye-1915.c5.8](https://indike.org/pramana/ins.science.kaye-1915.c5.8) · Pramāṇa