Created by CatharineJorgens
Last edited March 17, 2026


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Halāyudha (Sanskrit: हलायुध) wrote the Template:IAST, a commentary on Pingala's Chandaḥśāstra, was an Indian Mathematician and poet who lived and worked in the 10th century.[1] The Chandaḥśāstra by the Indian lyricist Piṅgala (3rd or 2nd century BC) somewhat cryptically describes a method of arranging two types of syllables to form metres of various lengths and counting them; as interpreted and elaborated by Halāyudha his "method of pyramidal expansion" (meru-prastāra) for counting metres is equivalent to Pascal's triangle.[2][3]

Biography

Halayudha originally resided at the Rashtrakuta capital Manyakheta, now located in Karnataka, where he wrote under the patronage of emperor Krishna III. His Kavi-Rahasya eulogizes Krishna III. Later, he migrated to Ujjain in the Paramara kingdom. There, he composed Mṛta-Sañjīvanī in honour of the Paramara king Munja.Template:Sfn

Works

Halayudha composed the following works:Template:Sfn

  • Kavi-Rahasya, a book on poetics
  • Mṛta-Sañjīvanī, a commentary on Pingala's Chandaḥ-śāstra
  • Abhidhana-ratna-mala, a lexicon
  • Halāyudha Kośa, a dictionary

See also

References

  1. Maurice Winternitz, History of Indian Literature, Vol. III
  2. Gaṇitānanda: Selected Works of Radha Charan Gupta on History of Mathematics{{#if:Ramasubramanian|, Ramasubramanian}. Springer(2019-11-08). ISBN 9789811312298
  3. A Primer for Mathematics Competitions{{#if:Gavin Hitchcock|, Gavin Hitchcock}. Oxford University(2008-10-31). ISBN 9780191561702

Bibliography

History of Rashtrakutas

  • Dhanapāla and His Times: A Socio-cultural Study Based Upon His Works{{#if:|, {{{last}}}}. Concept(1982)

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