[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) › c7.32 # Indian Mathematics c7.32 Indian Mathematics c7.32 - **Language:** English ### [c7.32](https://indike.org/pramana/ins.science.kaye-1915.c7.32) | | A | B | √(A²+B²) | Authorities. | | i | n | (n²-1)/2 | (n²+1)/2 | Pythagoras (according to Proclus) | | ii | √(m n) | (m n)/2 | (m+n)/2 | Plato (according to Proclus) | | iii | 2 mn | m²-n² | m²+n² | Euclid and Diophantus. | | iv | (m (n²-1))/(n²+1) | 2mn/(n²+1) | m | Diophantus. | | v | 2 mn | m²-n² | m²+n² | Brahmagupta and Mahāvīra. | | vi | √m | ½(m/n-n) | ½(m/n+n) | Brahmagupta, Mahāvīra, and Bhāskara. | | vii | m | (2 mn)/(n²-1) | (m (n²+1))/(n²-1) | Bhāskara. | | viii | (m (n²-1))/(n²+1) | (2 mn)/(n²+1) | m | Bhāskara. | | ix | 2 l mn | l (m²-n²) | l (m²+n²) | General formula. | - [Previous: c7.31](https://indike.org/pramana/ins.science.kaye-1915.c7.31) - [Next: c7.33](https://indike.org/pramana/ins.science.kaye-1915.c7.33) - [Up: c7](https://indike.org/pramana/ins.science.kaye-1915.c7) --- Source: [https://indike.org/pramana/ins.science.kaye-1915.c7.32](https://indike.org/pramana/ins.science.kaye-1915.c7.32) · Pramāṇa