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INDIAN MATHEMATICS.
19
A | B | Authorities. | ||
i | n | Pythagoras (according to Proclus) | ||
ii | Plato (according to Proclus) | |||
iii | Euclid and Diophantus. | |||
iv | m | Diophantus. | ||
v | 2mn | Brahmagupta and Mahāvīra. | ||
vi | Brahmagupta, Mahāvīra, and Bhāskara. | |||
vii | m | Bhāskara. | ||
viii | m | Bhāskara. | ||
ix | 2lmn | General formula. |
Mahāvīra gives many examples in which he employs formula (V) of which he terms m and n the 'elements.' From given elements he constructs triangles and from given triangles he finds the elements, e.g., "What are the 'elements' of the right-angled triangle (48, 55, 73)? Answer: 3, 8."