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Hemachandra
8 quotes
“The sum of the last and the one before the last is the number ... of the next mātrā-vṛtta.”
Hemachandra (1088–1172) first seen 1150 wikiquote, CC BY-SA 4.0 source
Recorded in: Hemachandra (c. 1150), in Livio, Mario (2003) [2002], The Golden Ratio: The Story of Phi, the World's Most Astonishing Number [archive] (First trade paperback ed.), New York City: Broadway Books, ISBN 0-7679-0816-3, and…
“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.”
Hemachandra (1088–1172) said by 1172 at the latest wikiquote, CC BY-SA 4.0 source
“Hence, the sum of 2 and 1 is three, which is the number of meters with 3 matras.”
Hemachandra (1088–1172) said by 1172 at the latest wikiquote, CC BY-SA 4.0 source
“The sum of 3 and 2 is five, which is the number of meters with 4 matras.”
Hemachandra (1088–1172) said by 1172 at the latest wikiquote, CC BY-SA 4.0 source
“The sum of 5 and 3 is eight, which is the number of meters with 5 matras.”
Hemachandra (1088–1172) said by 1172 at the latest wikiquote, CC BY-SA 4.0 source
“The sum of 8 and 5 is thirteen, which is the number of meters with 6 matras.”
Hemachandra (1088–1172) said by 1172 at the latest wikiquote, CC BY-SA 4.0 source
“The sum of 13 and 8 is twenty-one, which is the number of meters with 7 matras.”
Hemachandra (1088–1172) said by 1172 at the latest wikiquote, CC BY-SA 4.0 source
“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, ...”
Hemachandra (1088–1172) said by 1172 at the latest wikiquote, CC BY-SA 4.0 source
Recorded in: Velankar, H. D. (ed.). Chando’nushasana of Hemachandrasuri. Bombay: Bharatiya Vidya Bhavan: 1961.