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antya mūla

 Antyamūla means the “last” or “greatest root” in arithmetic and algebra, especially the second (or larger) root obtained when solving quadratic equations.

Core meaning

  • Antyamūla (अन्त्यमूल) is defined in Sanskrit dictionaries as “the last or greatest root (in a square)” .
  • It is a compound of antya (“last, final”) and mūla (“root”).
  • It is treated as equivalent to antyapada, another term for the final or greater root in algebraic operations .
  • 1 Source

Technical meaning in ancient Indian mathematics (Gaṇita / Bījagaṇita)

  • In classical algebra, antyamūla refers to the second root of a quadratic equation—the larger of the two solutions.
  • Pṛthūdakasvāmī (9th century), commenting on Brahmagupta’s Brāhmasphuṭasiddhānta, explains that after performing the prescribed operations, the resulting root is called the “greater root (jyeṣṭhapada)” or the “second root (anya‑mūla / antyamūla)” .
  • Thus, antyamūla = jyeṣṭhamūla = jyeṣṭhapada = the greater root.
  • 1 Source

Dictionary definitions

From the Sanskrit dictionary section of the same source:
  • “Antyamūla — the last or greatest root (in a square).”
  • Classified as a neuter noun (antyamūlam).
  • 1 Source
  • Antya (“last, final”) appears widely with meanings such as “final,” “lowest,” or “ultimate,” but in the mathematical context it specifically refers to the final or greater value .
  • Mūla means “root,” both literally and mathematically.
  • 1 Source

Summary

Antyamūla is a technical mathematical term in Sanskrit meaning:
  • the final, last, or greatest root,
  • especially the larger solution of a quadratic equation,
  • synonymous with antyapada and jyeṣṭhamūla.

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