Hemachandra Quotes
1080–1172
Hemachandra was a 12th century Śvetāmbara Jaina ācārya, scholar, poet, mathematician, philosopher, yogi, grammarian.
Random Hemachandra quote
8 quotes
The sum of the last and the one before the last is the number ... of the next mātrā-vṛtta.
Hemachandra (1150)
Hence, the sum of 2 and 1 is three, which is the number of meters with 3 matras.
The sum of 13 and 8 is twenty-one, which is the number of meters with 7 matras.
The sum of 8 and 5 is thirteen, which is the number of meters with 6 matras.
The sum of 5 and 3 is eight, which is the number of meters with 5 matras.
The sum of 3 and 2 is five, which is the number of meters with 4 matras.
The number of combinations for matra meters are stated [as follows]. The sum (योगः) of the last and last-but-one (अन््त्ययौपान््ततौ) terms is the number of meters possible for a given number of matras.
Likewise, 34, which is the sum of 21 and 13, is the number of meters with 8 matras. [Hence you have the sequence] 1, 2, 3, 5, 8, 13, 21, 34, ...